Physics Book - User contributions [en]

Free Body Diagram

2016-04-16T21:26:18Z

Wgraham3:

'''by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
[[File:freebd.png|right|]]
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg OR -(GMm)/r^2''
**m = mass
**g = 9.8 m/s^2 (on earth)
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system ====
(represented as arrows).
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol ====
representing the name of the force and identify them by the object causing the force 
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).
== In-Depth Tutorial ==

(Using Steps Outlined Above) 
Ex: A block is stationary on a ramp.
#Identify the system: block
#List all objects interacting with the system:
##Ramp
##Earth
#Draw a diagram of the system: Draw a block to represent the system.
#Draw all forces acting on the system: Because the block is stationary, we know the forces in each direction must sum to equal zero.
#Label all forces with a force symbol and identify the object causing the force
##Normal force, Fn, caused by the ramp
##Force of friction, Ff, caused by the ramp
##Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.

<gallery mode="packed" widths=250px>
File:FBD0.JPG|Setup
File:FBD3.JPG|Step 3
File:FBD4.JPG|Step 4
File:FBD5.JPG|Step 5
File:FBD6.JPG|Step 6
</gallery>

== Examples ==
=== Simple ===
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A force is applied to the right to accelerate a sled to the right. Draw a free-body diagram.
[[File:Sled.JPG|200px|thumb|left|Example 3 Solution-Because the sled is accelerating to the right, net force must be positive in the x direction. To achieve this, the applied force must be greater than the force of friction.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== See also ==
[http://hyperphysics.phy-astr.gsu.edu/hbase/force.html Forces Mental Map]

[http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law Newton's Second Law]

[https://www.youtube.com/watch?v=nDis6HbXxjg Using Free-Body Diagrams to Solve Kinematics Problems]

[http://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Free-Body-Diagrams/Free-Body-Diagram-Interactive|Interactive Free-Body Diagram Practice]

== References ==
Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

http://www.physicsclassroom.com/Class/newtlaws

Free Body Diagram

2016-04-16T21:25:16Z

Wgraham3:

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
[[File:freebd.png|right|]]
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg OR -(GMm)/r^2''
**m = mass
**g = 9.8 m/s^2 (on earth)
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system ====
(represented as arrows).
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol ====
representing the name of the force and identify them by the object causing the force 
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).
== In-Depth Tutorial ==

(Using Steps Outlined Above) 
Ex: A block is stationary on a ramp.
#Identify the system: block
#List all objects interacting with the system:
##Ramp
##Earth
#Draw a diagram of the system: Draw a block to represent the system.
#Draw all forces acting on the system: Because the block is stationary, we know the forces in each direction must sum to equal zero.
#Label all forces with a force symbol and identify the object causing the force
##Normal force, Fn, caused by the ramp
##Force of friction, Ff, caused by the ramp
##Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.

<gallery mode="packed" widths=250px>
File:FBD0.JPG|Setup
File:FBD3.JPG|Step 3
File:FBD4.JPG|Step 4
File:FBD5.JPG|Step 5
File:FBD6.JPG|Step 6
</gallery>

== Examples ==
=== Simple ===
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A force is applied to the right to accelerate a sled to the right. Draw a free-body diagram.
[[File:Sled.JPG|200px|thumb|left|Example 3 Solution-Because the sled is accelerating to the right, net force must be positive in the x direction. To achieve this, the applied force must be greater than the force of friction.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== See also ==
[http://hyperphysics.phy-astr.gsu.edu/hbase/force.html Forces Mental Map]

[http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law Newton's Second Law]

[https://www.youtube.com/watch?v=nDis6HbXxjg Using Free-Body Diagrams to Solve Kinematics Problems]

[http://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Free-Body-Diagrams/Free-Body-Diagram-Interactive|Interactive Free-Body Diagram Practice]

== References ==
Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

http://www.physicsclassroom.com/Class/newtlaws

File:Sled.JPG

2016-04-16T21:21:56Z

Wgraham3:

Free Body Diagram

2016-04-16T21:19:07Z

Wgraham3:

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
[[File:freebd.png|right|]]
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg OR -(GMm)/r^2''
**m = mass
**g = 9.8 m/s^2 (on earth)
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system ====
(represented as arrows).
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol ====
representing the name of the force and identify them by the object causing the force 
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).
== In-Depth Tutorial ==

(Using Steps Outlined Above) 
Ex: A block is stationary on a ramp.
#Identify the system: block
#List all objects interacting with the system:
##Ramp
##Earth
#Draw a diagram of the system: Draw a block to represent the system.
#Draw all forces acting on the system: Because the block is stationary, we know the forces in each direction must sum to equal zero.
#Label all forces with a force symbol and identify the object causing the force
##Normal force, Fn, caused by the ramp
##Force of friction, Ff, caused by the ramp
##Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.

<gallery mode="packed" widths=250px>
File:FBD0.JPG|Setup
File:FBD3.JPG|Step 3
File:FBD4.JPG|Step 4
File:FBD5.JPG|Step 5
File:FBD6.JPG|Step 6
</gallery>

== Examples ==
=== Simple ===
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== See also ==
[http://hyperphysics.phy-astr.gsu.edu/hbase/force.html Forces Mental Map]

[http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law Newton's Second Law]

[https://www.youtube.com/watch?v=nDis6HbXxjg Using Free-Body Diagrams to Solve Kinematics Problems]

[http://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Free-Body-Diagrams/Free-Body-Diagram-Interactive|Interactive Free-Body Diagram Practice]

== References ==
Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

http://www.physicsclassroom.com/Class/newtlaws

Free Body Diagram

2016-04-16T20:51:15Z

Wgraham3: /* In-Depth Tutorial */

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
[[File:freebd.png|right|]]
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg OR -(GMm)/r^2''
**m = mass
**g = 9.8 m/s^2 (on earth)
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system ====
(represented as arrows).
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol ====
representing the name of the force and identify them by the object causing the force 
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).

== In-Depth Tutorial ==
(Using Steps Outlined Above) 
Ex: A block is stationary on a ramp.
[[File:FBD0.JPG]]
#Identify the system: block
#List all objects interacting with the system:
##Ramp
##Earth
#Draw a diagram of the system: Draw a block to represent the system.
[[File:FBD3.JPG]]
#Draw all forces acting on the system: Because the block is stationary, we know it is not accelerating in the x nor y directions, so net force in the x and y directions is zero. Thus, the arrows in the y direction have equal length and no arrows are in the x direction.
[[File:FBD4.JPG]]
#Label all forces with a force symbol and identify the object causing the force
[[File:FBD5.JPG]]
##Normal force, Fn, caused by the ramp
##Force of friction, Ff, caused by the ramp
##Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.
[[File:FBD6.JPG]]

== Examples ==
=== Simple ===
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== See also ==
[http://hyperphysics.phy-astr.gsu.edu/hbase/force.html Forces Mental Map]

[http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law Newton's Second Law]

[https://www.youtube.com/watch?v=nDis6HbXxjg Using Free-Body Diagrams to Solve Kinematics Problems]

[http://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Free-Body-Diagrams/Free-Body-Diagram-Interactive|Interactive Free-Body Diagram Practice]

== References ==
Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

http://www.physicsclassroom.com/Class/newtlaws

File:FBD0.JPG

2016-04-16T20:50:42Z

Wgraham3:

File:FBD3.JPG

2016-04-16T20:47:38Z

Wgraham3:

File:FBD4.JPG

2016-04-16T20:46:43Z

Wgraham3:

File:FBD5.JPG

2016-04-16T20:44:41Z

Wgraham3:

File:FBD6.JPG

2016-04-16T20:42:03Z

Wgraham3: Wgraham3 uploaded a new version of "File:FBD6.JPG"

File:FBD6.JPG

2016-04-16T20:40:51Z

Wgraham3:

Free Body Diagram

2016-04-16T20:39:33Z

Wgraham3:

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
[[File:freebd.png|right|]]
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg OR -(GMm)/r^2''
**m = mass
**g = 9.8 m/s^2 (on earth)
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system ====
(represented as arrows).
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol ====
representing the name of the force and identify them by the object causing the force 
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).

== In-Depth Tutorial ==
(Using Steps Outlined Above) 
Ex: A block is stationary on a ramp.
#Identify the system: block
#List all objects interacting with the system:
##Ramp
##Earth
#Draw a diagram of the system: Draw a block to represent the system.
#Draw all forces acting on the system: Because the block is stationary, we know it is not accelerating in the x nor y directions, so net force in the x and y directions is zero. Thus, the arrows in the y direction have equal length and no arrows are in the x direction.
#Label all forces with a force symbol and identify the object causing the force
##
##Contact force, Fc, caused by the ramp
##Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.

== Examples ==
=== Simple ===
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== See also ==
[http://hyperphysics.phy-astr.gsu.edu/hbase/force.html Forces Mental Map]

[http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law Newton's Second Law]

[https://www.youtube.com/watch?v=nDis6HbXxjg Using Free-Body Diagrams to Solve Kinematics Problems]

[http://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Free-Body-Diagrams/Free-Body-Diagram-Interactive|Interactive Free-Body Diagram Practice]

== References ==
Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

http://www.physicsclassroom.com/Class/newtlaws

Free Body Diagram

2016-04-16T20:24:37Z

Wgraham3: /* Examples */

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
[[File:freebd.png|right|]]
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg OR -(GMm)/r^2''
**m = mass
**g = 9.8 m/s^2 (on earth)
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system ====
(represented as arrows).
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol ====
representing the name of the force and identify them by the object causing the force 
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).

== Examples ==

=== In-Depth Tutorial/Example Using Steps Outlined Above ===
#Identify the system: block
#List all objects interacting with the system:
*Ramp
*Earth
#Draw a diagram of the system: We drew a block to represent the system
#Draw all forces acting on the system: Because the block is stationary, we know it is not accelerating in the x nor y directions, so net force in the x and y directions is zero. Thus, the arrows in the y direction have equal length and no arrows are in the x direction.
#Label all forces with a force symbol and identify the object causing the force
*Contact force, Fc, caused by the ramp
*Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.

=== Simple ===
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== See also ==
[http://hyperphysics.phy-astr.gsu.edu/hbase/force.html Forces Mental Map]

[http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law Newton's Second Law]

[https://www.youtube.com/watch?v=nDis6HbXxjg Using Free-Body Diagrams to Solve Kinematics Problems]

[http://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Free-Body-Diagrams/Free-Body-Diagram-Interactive|Interactive Free-Body Diagram Practice]

== References ==
Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

http://www.physicsclassroom.com/Class/newtlaws

Free Body Diagram

2016-04-16T20:22:18Z

Wgraham3:

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
[[File:freebd.png|right|]]
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg OR -(GMm)/r^2''
**m = mass
**g = 9.8 m/s^2 (on earth)
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system ====
(represented as arrows).
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol ====
representing the name of the force and identify them by the object causing the force 
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).

== Examples ==
=== Simple ===
Example 1 (IN-DEPTH, following the steps outlined above).
#Identify the system: block
#List all objects interacting with the system:
*Ramp
*Earth
#Draw a diagram of the system: We drew a block to represent the system
#Draw all forces acting on the system: Because the block is stationary, we know it is not accelerating in the x nor y directions, so net force in the x and y directions is zero. Thus, the arrows in the y direction have equal length and no arrows are in the x direction.
#Label all forces with a force symbol and identify the object causing the force
*Contact force, Fc, caused by the ramp
*Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== See also ==
[http://hyperphysics.phy-astr.gsu.edu/hbase/force.html Forces Mental Map]

[http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law Newton's Second Law]

[https://www.youtube.com/watch?v=nDis6HbXxjg Using Free-Body Diagrams to Solve Kinematics Problems]

[http://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Free-Body-Diagrams/Free-Body-Diagram-Interactive|Interactive Free-Body Diagram Practice]

== References ==
Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

http://www.physicsclassroom.com/Class/newtlaws

Free Body Diagram

2016-04-16T20:19:49Z

Wgraham3:

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''
[[File:freebd.png|200px|thumb|right|]]

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg''
**m = mass
**g = 9.8 m/s^2 (on earth) OR -(GMm)/r^2
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system ====
(represented as arrows).
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol ====
representing the name of the force and identify them by the object causing the force 
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).

== Examples ==
=== Simple ===
Example 1 (IN-DEPTH, following the steps outlined above).
#Identify the system: block
#List all objects interacting with the system:
*Ramp
*Earth
#Draw a diagram of the system: We drew a block to represent the system
#Draw all forces acting on the system: Because the block is stationary, we know it is not accelerating in the x nor y directions, so net force in the x and y directions is zero. Thus, the arrows in the y direction have equal length and no arrows are in the x direction.
#Label all forces with a force symbol and identify the object causing the force
*Contact force, Fc, caused by the ramp
*Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== See also ==
[http://hyperphysics.phy-astr.gsu.edu/hbase/force.html Forces Mental Map]

[http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law Newton's Second Law]

[https://www.youtube.com/watch?v=nDis6HbXxjg Using Free-Body Diagrams to Solve Kinematics Problems]

[http://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Free-Body-Diagrams/Free-Body-Diagram-Interactive|Interactive Free-Body Diagram Practice]

== References ==
Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

http://www.physicsclassroom.com/Class/newtlaws

File:Freebd.png

2016-04-16T20:18:13Z

Wgraham3:

Free Body Diagram

2016-04-16T20:16:39Z

Wgraham3:

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''
[[File:2000px-Free body diagram2.svg.png|200px|thumb|right|]]

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg''
**m = mass
**g = 9.8 m/s^2 (on earth) OR -(GMm)/r^2
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system ====
(represented as arrows).
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol ====
representing the name of the force and identify them by the object causing the force 
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).

== Examples ==
=== Simple ===
Example 1 (IN-DEPTH, following the steps outlined above).
#Identify the system: block
#List all objects interacting with the system:
*Ramp
*Earth
#Draw a diagram of the system: We drew a block to represent the system
#Draw all forces acting on the system: Because the block is stationary, we know it is not accelerating in the x nor y directions, so net force in the x and y directions is zero. Thus, the arrows in the y direction have equal length and no arrows are in the x direction.
#Label all forces with a force symbol and identify the object causing the force
*Contact force, Fc, caused by the ramp
*Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== See also ==
[http://hyperphysics.phy-astr.gsu.edu/hbase/force.html Forces Mental Map]

[http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law Newton's Second Law]

[https://www.youtube.com/watch?v=nDis6HbXxjg Using Free-Body Diagrams to Solve Kinematics Problems]

[http://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Free-Body-Diagrams/Free-Body-Diagram-Interactive|Interactive Free-Body Diagram Practice]

== References ==
Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

http://www.physicsclassroom.com/Class/newtlaws

Free Body Diagram

2016-04-16T20:09:25Z

Wgraham3:

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all objects in the system's surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''
[[File:2000px-Free body diagram2.svg.png|200px|thumb|right|]]

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg''
**m = mass
**g = 9.8 m/s^2 (on earth) OR -(GMm)/r^2
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system (represented as arrows). ====
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol representing the name of the force and identify them by the object causing the force ====
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).

== Examples ==
=== Simple ===
Example 1 (IN-DEPTH, following the steps outlined above).
#Identify the system: block
#List all objects interacting with the system:
*Ramp
*Earth
#Draw a diagram of the system: We drew a block to represent the system
#Draw all forces acting on the system: Because the block is stationary, we know it is not accelerating in the x nor y directions, so net force in the x and y directions is zero. Thus, the arrows in the y direction have equal length and no arrows are in the x direction.
#Label all forces with a force symbol and identify the object causing the force
*Contact force, Fc, caused by the ramp
*Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== See also ==
[http://hyperphysics.phy-astr.gsu.edu/hbase/force.html Forces Mental Map]

[http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law Newton's Second Law]

[https://www.youtube.com/watch?v=nDis6HbXxjg Using Free-Body Diagrams to Solve Kinematics Problems]

[http://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Free-Body-Diagrams/Free-Body-Diagram-Interactive|Interactive Free-Body Diagram Practice]

== References ==
Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

http://www.physicsclassroom.com/Class/newtlaws

Free Body Diagram

2016-04-16T20:02:50Z

Wgraham3: /* References */

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all objects in the system's surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''
[[File:2000px-Free body diagram2.svg.png|200px|thumb|right|]]

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg''
**m = mass
**g = 9.8 m/s^2 (on earth) OR -(GMm)/r^2
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system (represented as arrows). ====
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol representing the name of the force and identify them by the object causing the force ====
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).

== Examples ==
=== Simple ===
Example 1 (IN-DEPTH, following the steps outlined above).
#Identify the system: block
#List all objects interacting with the system:
*Ramp
*Earth
#Draw a diagram of the system: We drew a block to represent the system
#Draw all forces acting on the system: Because the block is stationary, we know it is not accelerating in the x nor y directions, so net force in the x and y directions is zero. Thus, the arrows in the y direction have equal length and no arrows are in the x direction.
#Label all forces with a force symbol and identify the object causing the force
*Contact force, Fc, caused by the ramp
*Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== History ==

== See also ==
http://hyperphysics.phy-astr.gsu.edu/hbase/force.html

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://www.youtube.com/watch?v=nDis6HbXxjg

http://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Free-Body-Diagrams/Free-Body-Diagram-Interactive

== References ==
Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

http://www.physicsclassroom.com/Class/newtlaws

Free Body Diagram

2016-04-16T19:57:03Z

Wgraham3: /* See also */

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all objects in the system's surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''
[[File:2000px-Free body diagram2.svg.png|200px|thumb|right|]]

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg''
**m = mass
**g = 9.8 m/s^2 (on earth) OR -(GMm)/r^2
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system (represented as arrows). ====
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol representing the name of the force and identify them by the object causing the force ====
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).

== Examples ==
=== Simple ===
Example 1 (IN-DEPTH, following the steps outlined above).
#Identify the system: block
#List all objects interacting with the system:
*Ramp
*Earth
#Draw a diagram of the system: We drew a block to represent the system
#Draw all forces acting on the system: Because the block is stationary, we know it is not accelerating in the x nor y directions, so net force in the x and y directions is zero. Thus, the arrows in the y direction have equal length and no arrows are in the x direction.
#Label all forces with a force symbol and identify the object causing the force
*Contact force, Fc, caused by the ramp
*Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== History ==

== See also ==
http://hyperphysics.phy-astr.gsu.edu/hbase/force.html

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://www.youtube.com/watch?v=nDis6HbXxjg

http://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Free-Body-Diagrams/Free-Body-Diagram-Interactive

== References ==
http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

Free Body Diagram

2016-04-16T19:53:57Z

Wgraham3: /* See also */

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all objects in the system's surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''
[[File:2000px-Free body diagram2.svg.png|200px|thumb|right|]]

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg''
**m = mass
**g = 9.8 m/s^2 (on earth) OR -(GMm)/r^2
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system (represented as arrows). ====
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol representing the name of the force and identify them by the object causing the force ====
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).

== Examples ==
=== Simple ===
Example 1 (IN-DEPTH, following the steps outlined above).
#Identify the system: block
#List all objects interacting with the system:
*Ramp
*Earth
#Draw a diagram of the system: We drew a block to represent the system
#Draw all forces acting on the system: Because the block is stationary, we know it is not accelerating in the x nor y directions, so net force in the x and y directions is zero. Thus, the arrows in the y direction have equal length and no arrows are in the x direction.
#Label all forces with a force symbol and identify the object causing the force
*Contact force, Fc, caused by the ramp
*Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== History ==

== See also ==
http://hyperphysics.phy-astr.gsu.edu/hbase/force.html

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://www.youtube.com/watch?v=nDis6HbXxjg

This is a website with a built-in Free Body Diagram Interactive to practice sketching diagrams:
http://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Free-Body-Diagrams/Free-Body-Diagram-Interactive

== References ==
http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

Free Body Diagram

2016-04-16T19:53:36Z

Wgraham3: /* See also */

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all objects in the system's surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''
[[File:2000px-Free body diagram2.svg.png|200px|thumb|right|]]

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg''
**m = mass
**g = 9.8 m/s^2 (on earth) OR -(GMm)/r^2
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system (represented as arrows). ====
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol representing the name of the force and identify them by the object causing the force ====
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).

== Examples ==
=== Simple ===
Example 1 (IN-DEPTH, following the steps outlined above).
#Identify the system: block
#List all objects interacting with the system:
*Ramp
*Earth
#Draw a diagram of the system: We drew a block to represent the system
#Draw all forces acting on the system: Because the block is stationary, we know it is not accelerating in the x nor y directions, so net force in the x and y directions is zero. Thus, the arrows in the y direction have equal length and no arrows are in the x direction.
#Label all forces with a force symbol and identify the object causing the force
*Contact force, Fc, caused by the ramp
*Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== History ==

== See also ==
http://hyperphysics.phy-astr.gsu.edu/hbase/force.html

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://www.youtube.com/watch?v=nDis6HbXxjg

This is a website with a built-in Free Body Diagram Interactive to practice sketching diagrams.
http://www.physicsclassroom.com/Physics-Interactives/Newtons-Laws/Free-Body-Diagrams/Free-Body-Diagram-Interactive

== References ==
http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

Free Body Diagram

2016-04-16T19:43:54Z

Wgraham3:

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all objects in the system's surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''
[[File:2000px-Free body diagram2.svg.png|200px|thumb|right|]]

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg''
**m = mass
**g = 9.8 m/s^2 (on earth) OR -(GMm)/r^2
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system (represented as arrows). ====
Arrow length should represent the approximate magnitude of that force relative to other forces
[[File:ContactForce.JPG|300px|thumb|right|]]
==== (5) Label all forces with a symbol representing the name of the force and identify them by the object causing the force ====
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
*Fc (contact force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal to the ramp. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a perpendicular arrow, and the force of Friction caused by the ramp as a parallel arrow (see image to the upper right).

== Examples ==
=== Simple ===
Example 1 (IN-DEPTH, following the steps outlined above).
#Identify the system: block
#List all objects interacting with the system:
*Ramp
*Earth
#Draw a diagram of the system: We drew a block to represent the system
#Draw all forces acting on the system: Because the block is stationary, we know it is not accelerating in the x nor y directions, so net force in the x and y directions is zero. Thus, the arrows in the y direction have equal length and no arrows are in the x direction.
#Label all forces with a force symbol and identify the object causing the force
*Contact force, Fc, caused by the ramp
*Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== History ==

== See also ==
http://hyperphysics.phy-astr.gsu.edu/hbase/force.html

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://www.youtube.com/watch?v=nDis6HbXxjg

== References ==
http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

File:ContactForce.JPG

2016-04-16T19:39:06Z

Wgraham3: Wgraham3 uploaded a new version of "File:ContactForce.JPG"

File:ContactForce.JPG

2016-04-16T19:37:51Z

Wgraham3: Wgraham3 uploaded a new version of "File:ContactForce.JPG"

File:ContactForce.JPG

2016-04-16T19:27:22Z

Wgraham3:

Free Body Diagram

2016-04-16T18:51:26Z

Wgraham3: /* Examples */

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all objects in the system's surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''
[[File:2000px-Free body diagram2.svg.png|200px|thumb|right|]]

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg''
**m = mass
**g = 9.8 m/s^2 (on earth) OR -(GMm)/r^2
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system (represented as arrows). ====
Arrow length should represent the approximate magnitude of that force relative to other forces
==== (5) Label all forces with a symbol representing the name of the force and identify them by the object causing the force ====
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a vertical arrow, and the force of Friction caused by the ramp as a horizontal arrow (see image to the right).

== Examples ==
=== Simple ===
Example 1 (IN-DEPTH, following the steps outlined above).
#Identify the system: block
#List all objects interacting with the system:
*Ramp
*Earth
#Draw a diagram of the system: We drew a block to represent the system
#Draw all forces acting on the system: Because the block is stationary, we know it is not accelerating in the x nor y directions, so net force in the x and y directions is zero. Thus, the arrows in the y direction have equal length and no arrows are in the x direction.
#Label all forces with a force symbol and identify the object causing the force
*Contact force, Fc, caused by the ramp
*Force of gravity, Fg, caused by the earth
#Break forces into components: We can break up the contact force into normal force and force of friction.
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== History ==

== See also ==
http://hyperphysics.phy-astr.gsu.edu/hbase/force.html

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://www.youtube.com/watch?v=nDis6HbXxjg

== References ==
http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

Free Body Diagram

2016-04-16T18:22:30Z

Wgraham3: /* Main Idea */

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all objects in the system's surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''
[[File:2000px-Free body diagram2.svg.png|200px|thumb|right|]]

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN''
**f = Frictional Force
**N = Normal Force
**μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg''
**m = mass
**g = 9.8 m/s^2 (on earth) OR -(GMm)/r^2
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx''
**k = spring constant
**x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system (Draw a block, car, etc.)

==== (4) Draw all the forces acting on the system (represented as arrows). ====
Arrow length should represent the approximate magnitude of that force relative to other forces
==== (5) Label all forces with a symbol representing the name of the force and identify them by the object causing the force ====
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(θ) or cosine(θ) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a vertical arrow, and the force of Friction caused by the ramp as a horizontal arrow (see image to the right).

== Examples ==
=== Simple ===
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== History ==

== See also ==
http://hyperphysics.phy-astr.gsu.edu/hbase/force.html

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://www.youtube.com/watch?v=nDis6HbXxjg

== References ==
http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

Free Body Diagram

2016-04-16T18:18:56Z

Wgraham3: /* Main Idea */

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all objects in the system's surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''
[[File:2000px-Free body diagram2.svg.png|200px|thumb|right|]]

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN'' f = Frictional Force N = Normal Force μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg'' m = mass g = 9.8 m/s^2 (on earth) OR -(GMm)/r^2
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx'' k = spring constant x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system ====
==== (4) Draw all the forces acting on the system (represented as arrows). ====
Arrow length should represent the approximate magnitude of that force relative to other forces
==== (5) Label all forces with a symbol representing the name of the force and identify them by the object causing the force ====
Examples of force symbols:
*Fg (force of gravity)
*Ff (force of friction)
*Ft (force of tension)
*Fn (normal force)
Examples of objects causing the force:
*Earth
*Ramp
*Block
*Rope
*Moon
*Spring

==== (6) Break forces into their components as needed. ====
If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force. Use sine(&theta) or cosine(&theta) as needed.

'''General Tips:'''
*If an object has constant speed, it means the object has no acceleration. Since net force is the rate of change of acceleration, net force in that direction would then be zero. This means that there are either no forces currently acting on the object, or there are equal, opposite forces acting on the object in that direction. To represent this in a free body diagram, draw forces as arrows pointing in opposite directions with equal lengths.
*Don't be confused by contact forces. Most of the time, contact force is an umbrella term that includes other types of forces. If you had a block on a ramp, you could draw the contact force as being diagonal. Or, if you wanted to break it into its components which are easier to consider, you would draw the Normal force caused by the ramp pushing up as a vertical arrow, and the force of Friction caused by the ramp as a horizontal arrow (see image to the right).

== Examples ==
=== Simple ===
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== History ==

== See also ==
http://hyperphysics.phy-astr.gsu.edu/hbase/force.html

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://www.youtube.com/watch?v=nDis6HbXxjg

== References ==
http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

Free Body Diagram

2016-04-16T18:02:49Z

Wgraham3: /* Main Idea */

'''Claimed by Whitney Graham'''

== Main Idea ==

=== What are Free Body Diagrams? ===
A free body diagram, or force diagram, is a rough sketch that shows all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. All forces in a free body diagram are due to the system's interactions with its surroundings. Especially when problems become complicated and involve different forces acting on multiple objects, free body diagrams can be extremely effective in making a problem simpler to handle.

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== How To Draw a Free Body Diagram ===
==== (1) Identify the system ====
==== (2) List and identify all objects in the system's surroundings that interact with the system ====
Although we usually think of these interactions in terms of force names, it's best to get in the habit of identifying the force AND the object that specifically causes that force. For example, the force of gravity on a block could be caused by the earth. Or a normal force could be caused by a second block and another normal force could be caused by the table. Identifying forces by the specific objects that cause them helps us not forget forces.

'''Types of Forces to Consider for Free Body Diagrams:'''
[[File:2000px-Free body diagram2.svg.png|200px|thumb|right|]]

Disclaimer: Not all of these forces will be present in every situation. These are not all possible choices of forces, just the most common in a Physics 1 course.

*Applied Force: Force applied to the system by a person or other object.
*Force of Friction: Force that a surface applies on the system that is moving (or trying to move) on that surface.
**Formula: ''f=μN'' f = Frictional Force N = Normal Force μ = Coefficient of Friction
*Force of Gravity: Force that, on Earth, will act downward toward the center of the Earth.
**Formula: ''Force of gravity = mg'' m = mass g = 9.8 m/s^2 (on earth) OR -(GMm)/r^2
*Normal force: Force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.
*Spring force: Force that is exerted by a spring onto any system that is attached to it.
**Formula: ''Spring force=-kx'' k = spring constant x = displacement from the spring's relaxed position
*Force of tension: Force that exists when a rope, string, wire, etc. is pulling on the system.

==== (3) Draw a diagram with the system at the center ====
*Can use a dot to represent the system, OR
*Can draw the details of the system ====
==== (4) Draw all the forces acting on the system (represented as arrows). ====
Arrow length should represent the approximate magnitude of that force relative to other forces
==== (5) Label all forces with a symbol and identify them by the object causing the force ====
==== (6) Break forces into their components as needed. ====
(If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force).

== Examples ==
=== Simple ===
Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

=== Middling ===
Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

=== Difficult ===
Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== History ==

== See also ==
http://hyperphysics.phy-astr.gsu.edu/hbase/force.html

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://www.youtube.com/watch?v=nDis6HbXxjg

== References ==
http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

Free Body Diagram

2016-04-16T17:36:57Z

Wgraham3: /* How To Draw a Free Body Diagram */

Free Body Diagram

2016-04-16T17:33:28Z

Wgraham3: /* Examples */

Free Body Diagram

2016-04-16T17:32:21Z

Wgraham3:

File:2000px-Free body diagram2.svg.png

2016-04-16T17:18:45Z

Wgraham3:

Free Body Diagram

2016-04-16T17:15:03Z

Wgraham3: /* Main Idea */

'''Claimed by Whitney Graham'''

== Main Idea ==
=== What are Free Body Diagrams? ===
A free body diagram, or force diagram, is a drawing of an object that is used to show all of the forces acting on the body. In mechanics, free body diagrams are extremely helpful because they allow visualization of each force acting upon the object. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. However, free body diagrams are not limited to these. All forces on a free body diagram are due to the body's interactions with its surroundings. Especially when problems become complicated and involve multiple different forces acting on more than one object, free body diagrams can be extremely effective in making a problem simpler to handle.

[[File:Ya.png|200px|thumb|right|Points are commonly used to depict the system]]
[[File:Boxx.png|200px|thumb|right|Boxes are commonly used to depict the system]]

=== How To Draw a Free Body Diagram ===
1) Identify the system 
2) List and identify all objects in the system's surroundings that interact with the system 
3) Draw a diagram with the system at the center 
*Can use a dot to represent the system, OR
*Can draw the details of the system 
4) Draw all the forces acting on the system (represented as arrows). Arrow length should represent the approximate magnitude of that force relative to other forces 
5) Label all forces with a symbol and identify them by the object causing the force 
6) Break forces into their components as needed. (If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force). 

=== Relation to Newton's Second Law ===
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

=== Types of Forces to Consider for Free Body Diagrams ===
Although all of these forces are not always present in every situation, some of these forces will usually be present acting on a system.

*'''Applied Force''': This is the force applied to the system by a person or other object.

*'''Force of friction''': This is the force that a surface applies on the system that is moving (or trying to move) on that surface.
**Important formula: ''f=μN'' f=frictional force N=normal force

*'''Force of gravity''': The force of gravity is the force that, on Earth, will act downward toward the center of the Earth.
**Important formula: ''Force of gravity=mg'' where m=mass g=9.8 m/s^2

*'''Normal force''': This is a force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.

*'''Spring force''': The spring force is a force that is exerted by a spring onto any system that is attached to it.
*Important formula: ''Spring force=-kx'' where k=spring constant x=the displacement from the spring's relaxed position

*'''Force of tension''': This is the force that exists when a rope, string, wire, etc. is pulling on the system.

These are just the most common forces for free body diagrams in mechanics; however, other forces also exist.

== Examples ==

'''Simple''' Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

'''Middling''' Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

'''Difficult''' Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== History ==

== See also ==
http://hyperphysics.phy-astr.gsu.edu/hbase/force.html

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://www.youtube.com/watch?v=nDis6HbXxjg

== References ==
http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

Free Body Diagram

2016-04-16T17:03:25Z

Wgraham3: /* Main Idea */

'''Claimed by Whitney Graham'''

== Main Idea ==

A free body diagram, or force diagram, is a drawing of an object that is used to show all of the forces acting on the body. In mechanics, free body diagrams are extremely helpful because they allow visualization of each force acting upon the object. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. However, free body diagrams are not limited to these. All forces on a free body diagram are due to the body's interactions with its surroundings. Especially when problems become complicated and involve multiple different forces acting on more than one object, free body diagrams can be extremely effective in making a problem simpler to handle.

[[File:Ya.png|200px|thumb|right|Points are commonly used to depict the system]]
[[File:Boxx.png|200px|thumb|right|Boxes are commonly used to depict the system]]

'''How To Draw a Free Body Diagram'''
1) Identify the system
2) List and identify all objects in the system's surroundings that interact with the system
3) Draw a diagram with the system at the center
*Can use a dot to represent the system, OR
*Can draw the details of the system
4) Draw all the forces acting on the system (represented as arrows). Arrow length should represent the approximate magnitude of that force relative to other forces
5) Label all forces with a symbol and identify them by the object causing the force
6) Break forces into their components as needed. (If a force is acting diagonal to the system, create a dashed line parallel and perpendicular to the system and label it as the x and y components of that force).

'''Relation to Newton's Second Law'''
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity.

'''Types of Forces to Consider for Free Body Diagrams'''
Although all of these forces are not always present in every situation, some of these forces will usually be present acting on a system.

*'''Applied Force''': This is the force applied to the system by a person or other object.

*'''Force of friction''': This is the force that a surface applies on the system that is moving (or trying to move) on that surface.
**Important formula: ''f=μN'' f=frictional force N=normal force

*'''Force of gravity''': The force of gravity is the force that, on Earth, will act downward toward the center of the Earth.
**Important formula: ''Force of gravity=mg'' where m=mass g=9.8 m/s^2

*'''Normal force''': This is a force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.

*'''Spring force''': The spring force is a force that is exerted by a spring onto any system that is attached to it.
*Important formula: ''Spring force=-kx'' where k=spring constant x=the displacement from the spring's relaxed position

*'''Force of tension''': This is the force that exists when a rope, string, wire, etc. is pulling on the system.

These are just the most common forces for free body diagrams in mechanics; however, other forces also exist.

== Examples ==

'''Simple''' Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

'''Middling''' Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

'''Difficult''' Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== History ==

== See also ==
http://hyperphysics.phy-astr.gsu.edu/hbase/force.html

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://www.youtube.com/watch?v=nDis6HbXxjg

== References ==
http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

Free Body Diagram

2016-04-16T16:55:47Z

Wgraham3:

'''Claimed by Whitney Graham'''

== Main Idea ==

A free body diagram, or force diagram, is a drawing of an object that is used to show all of the forces acting on the body. In mechanics, free body diagrams are extremely helpful because they allow visualization of each force acting upon the object. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. However, free body diagrams are not limited to these. All forces on a free body diagram are due to the body's interactions with its surroundings. Especially when problems become complicated and involve multiple different forces acting on more than one object, free body diagrams can be extremely effective in making a problem simpler to handle.

[[File:Ya.png|200px|thumb|right|Points are commonly used to depict the system]]
[[File:Boxx.png|200px|thumb|right|Boxes are commonly used to depict the system]]

'''How To Draw a Free Body Diagram'''
To create a free body diagram, it is most beneficial if the system and surroundings are identified, and any forces that are identified to be negligible do not need to be drawn on the diagram. A box or point is usually used to model the system in a free body diagram. Each force is typically represented by an arrow, which is drawn in the direction in which they act on the system. The size of each arrow, though not completely to scale, should mirror the magnitude of the force. Each of these arrows should be labeled as a certain force to avoid confusion when solving problems. Free body diagrams only take into account the forces directly acting on the object.

'''Relation to Newton's Second Law'''
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity. Free body diagrams and the equation F=ma work together to help solve problems. The free body diagram does not change until another force starts or stops acting on it.

'''Types of Forces to Consider for Free Body Diagrams'''
Although all of these forces are not always present in every situation, some of these forces will usually be present acting on a system.

*'''Applied Force''': This is the force applied to the system by a person or other object.

*'''Force of friction''': This is the force that a surface applies on the system that is moving (or trying to move) on that surface.
**Important formula: ''f=μN'' f=frictional force N=normal force

*'''Force of gravity''': The force of gravity is the force that, on Earth, will act downward toward the center of the Earth.
**Important formula: ''Force of gravity=mg'' where m=mass g=9.8 m/s^2

*'''Normal force''': This is a force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.

*'''Spring force''': The spring force is a force that is exerted by a spring onto any system that is attached to it.
*Important formula: ''Spring force=-kx'' where k=spring constant x=the displacement from the spring's relaxed position

*'''Force of tension''': This is the force that exists when a rope, string, wire, etc. is pulling on the system.

These are just the most common forces for free body diagrams in mechanics; however, other forces also exist.

== Examples ==

'''Simple''' Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

'''Middling''' Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

'''Difficult''' Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== History ==

== See also ==
http://hyperphysics.phy-astr.gsu.edu/hbase/force.html

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://www.youtube.com/watch?v=nDis6HbXxjg

== References ==
http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams

Free Body Diagram

2016-04-02T02:00:41Z

Wgraham3:

'''Claimed by Whitney Graham'''

A free body diagram, or force diagram, is a drawing of an object that is used to show all of the forces acting on the body. In mechanics, free body diagrams are extremely helpful because they allow visualization of each force acting upon the object. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. However, free body diagrams are not limited to these. All forces on a free body diagram are due to the body's interactions with its surroundings. Especially when problems become complicated and involve multiple different forces acting on more than one object, free body diagrams can be extremely effective in making a problem simpler to handle.

[[File:Ya.png|200px|thumb|right|Points are commonly used to depict the system]]
[[File:Boxx.png|200px|thumb|right|Boxes are commonly used to depict the system]]

== How To Draw a Free Body Diagram ==
To create a free body diagram, it is most beneficial if the system and surroundings are identified, and any forces that are identified to be negligible do not need to be drawn on the diagram. A box or point is usually used to model the system in a free body diagram. Each force is typically represented by an arrow, which is drawn in the direction in which they act on the system. The size of each arrow, though not completely to scale, should mirror the magnitude of the force. Each of these arrows should be labeled as a certain force to avoid confusion when solving problems. Free body diagrams only take into account the forces directly acting on the object.

== Relation to Newton's Second Law ==
Free body diagrams are usually used in collaboration with Newton's Second Law, F=mass*acceleration, as both are typically used in the process of solving for force. Newton's Second Law is the sum of the forces. The sum of the forces is equal to zero when the object is not accelerating or is moving at constant velocity. Free body diagrams and the equation F=ma work together to help solve problems. The free body diagram does not change until another force starts or stops acting on it.

== Types of Forces to Consider for Free Body Diagrams ==
Although all of these forces are not always present in every situation, some of these forces will usually be present acting on a system.

*'''Applied Force''': This is the force applied to the system by a person or other object.

*'''Force of friction''': This is the force that a surface applies on the system that is moving (or trying to move) on that surface.
**Important formula: ''f=μN'' f=frictional force N=normal force

*'''Force of gravity''': The force of gravity is the force that, on Earth, will act downward toward the center of the Earth.
**Important formula: ''Force of gravity=mg'' where m=mass g=9.8 m/s^2

*'''Normal force''': This is a force that is present when the system is on another object or surface, and the object or surface is exerting a force on the system as support.

*'''Spring force''': The spring force is a force that is exerted by a spring onto any system that is attached to it.
*Important formula: ''Spring force=-kx'' where k=spring constant x=the displacement from the spring's relaxed position

*'''Force of tension''': This is the force that exists when a rope, string, wire, etc. is pulling on the system.

These are just the most common forces for free body diagrams in mechanics; however, other forces also exist.

== Examples ==

'''Simple''' Example 1: A person rides in an elevator moving at constant velocity. Create a free body diagram to represent this situation.
[[File:fbd.png|200px|thumb|right|Example 1 Solution-In this example, the only forces acting on the system are the force of gravity and the normal force]]

'''Middling''' Example 2: A ball is hanging on a string of negligible mass from the ceiling. Create a free body diagram to model this situation.
[[File:Example23.png|200px|thumb|left|Example 2 Solution-In this example, the only forces acting on the system are the force of gravity and the force of tension]]
*Note: For this example, when solving for forces, the force of tension must be split into horizontal and vertical components and solved.

'''Difficult''' Example 3: A stationary box lies on an incline. Create a free body diagram to model this situation.
[[File:Example233.png|200px|thumb|left|Example 3 Solution-In this example, the forces acting on this system are the force of gravity, the force of friction, and the normal force.]]
*Note: Friction is necessary to keep the box stationary. When solving for the normal force and for frictional force, both the x and y component must be considered.

[[File:Exampleproblem.gif|200px|thumb|right|This, found from http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram, is a more complicated problem to show that free body diagrams prove extremely helpful when sorting out problems with multiple different objects being acting upon.]]

Diagrams with solution are on the left and right.

== Connectedness ==
While free body diagrams do not necessarily correlate with my life, they do have an application in the real world. For example, companies designing things such as billboards and even things such as houses, free body diagrams can be used to solve for how much force the structure must be supporting before construction begins.

== See also ==
http://hyperphysics.phy-astr.gsu.edu/hbase/force.html

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://www.youtube.com/watch?v=nDis6HbXxjg

== References ==
http://demos.smu.ca/index.php/demos/mechanics/141-free-body-diagram

http://hyperphysics.phy-astr.gsu.edu/hbase/freeb.html

Matter and Interactions: Modern Mechanics. Volume One. 4th Edition.

https://www.wisc-online.com/learn/natural-science/physics/tp1502/construction-of-free-body-diagrams