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	<updated>2026-05-13T10:46:38Z</updated>
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	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Static_Friction&amp;diff=32193</id>
		<title>Static Friction</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Static_Friction&amp;diff=32193"/>
		<updated>2018-04-23T15:11:05Z</updated>

		<summary type="html">&lt;p&gt;Sbutz6: Undo revision 31109 by Sbutz6 (talk)&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;claimed by: mearathu3&lt;br /&gt;
Short Description of Topic&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
Friction is the resistance to motion between two objects. It is proportional to the force that pushes the two surfaces together and the roughness of the surface. Static friction is the friction between two objects that are not moving. Static friction between the two objects will increase to oppose motion until it reaches a certain point in which the objects move. This point of motion is defined by the coefficient of static friction which is generally greater than the coefficient of kinetic friction.   &lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
Friction is defined by the formula:&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;{F}_{friction} = {μ}{F}_{normal}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Where &#039;&#039;&#039;μ&#039;&#039;&#039; is the coefficient of friction between the two objects and &#039;&#039;&#039;F_normal&#039;&#039;&#039; is the normal force between the two surfaces. &lt;br /&gt;
&lt;br /&gt;
Static friction is the maximum force just before the two objects enter into motion and it is related to the coefficient of static friction. It is defined as follows:&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;{F}_{max,f} = {μ}_{static}{F}_{normal}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Where &#039;&#039;&#039;μ_static&#039;&#039;&#039; is the coefficient of static friction and &#039;&#039;&#039;F_normal&#039;&#039;&#039; is the normal force between the two surfaces. If the force exerted on the objects exceeds the &#039;&#039;&#039;F_max&#039;&#039;&#039; the objects start to move. &lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
&lt;br /&gt;
There is a box on top of a table and is not moving. The box has a mass &#039;&#039;&#039;M&#039;&#039;&#039; and the coefficient of static friction between the box and the table is &#039;&#039;&#039;μ_2&#039;&#039;&#039;. What is the friction force?&lt;br /&gt;
&lt;br /&gt;
[[File:Inc2.jpg]]&lt;br /&gt;
&lt;br /&gt;
The way to solve this problem is see that the box is not moving that means that there is a static friction force. The static friction force is calculated as follows:&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;{F}_{friction} = {F}_{N}{μ}_{s}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Take notice that &#039;&#039;&#039;F_N&#039;&#039;&#039; is equal to &#039;&#039;&#039;F_grav&#039;&#039;&#039; which is as follows:&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt; {F}_{grav} = {9.81}{M}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
There is a box resting on an incline plane with a mass &#039;&#039;&#039;M_b&#039;&#039;&#039;. The coefficient of static friction between the box and the ramp is &#039;&#039;&#039;μ_s&#039;&#039;&#039;. The box isn’t moving, what is the friction force?&lt;br /&gt;
&lt;br /&gt;
[[File:Mearathu31.jpg]]&lt;br /&gt;
&lt;br /&gt;
Solution:&lt;br /&gt;
&lt;br /&gt;
To solve the problem the first step required is to identify the free body diagram:&lt;br /&gt;
&lt;br /&gt;
[[File:Mearathu32.jpg]]&lt;br /&gt;
&lt;br /&gt;
The next step is to calculate the &#039;&#039;&#039;Y&#039;&#039;&#039; component of the &#039;&#039;&#039;F_grav &#039;&#039;&#039;. That will be equal to the &#039;&#039;&#039;F_N &#039;&#039;&#039;.&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;{F}_{N} = {F}_{grav}{sinθ}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;With {F}_{grav} = {9.81}{M}_{b}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The final step is to utilize the formula for static friction and the calculated &#039;&#039;&#039;F_N&#039;&#039;&#039;:&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;{F}_{friction} = {F}_{N}{μ}_{s}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
That solves the problem.&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
Friction is very involved in racing which is something I truly enjoy.&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Static friction is the answer that people gave to the question of why certain objects didn&#039;t slide down inclined planes or why when something was pushed it didn&#039;t go on forever. The basis of this is in Newton&#039;s Laws. &amp;quot;An object in motion will remain in motion unless an external force is exerted on it.&amp;quot; When an object is in motion, friction is the external force that is stopping it. Leonardo da Vinci is credited as the one who discovered the basic laws of friction.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Look below&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*The Wikipedia page on friction[https://en.wikipedia.org/wiki/Friction#Static_friction]&lt;br /&gt;
*An explanation of static friction with some diagrams[http://hyperphysics.phy-astr.gsu.edu/hbase/frict2.html]&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
*A couple of animations[http://www.animations.physics.unsw.edu.au/jw/weight_and_friction.htm]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
The book we used in class was a reference utilized in the creation of this page:&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions 4th edition. Full Citation: Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions. Hoboken, NJ: Wiley, 2011. Print.&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Sbutz6</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Static_Friction&amp;diff=31109</id>
		<title>Static Friction</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Static_Friction&amp;diff=31109"/>
		<updated>2018-03-13T20:29:53Z</updated>

		<summary type="html">&lt;p&gt;Sbutz6: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;Claimed by Steven Butz (spring 2018)&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Short Description of Topic&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
Friction is the resistance to motion between two objects. It is proportional to the force that pushes the two surfaces together and the roughness of the surface. Static friction is the friction between two objects that are not moving. Static friction between the two objects will increase to oppose motion until it reaches a certain point in which the objects move. This point of motion is defined by the coefficient of static friction which is generally greater than the coefficient of kinetic friction.   &lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
Friction is defined by the formula:&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;{F}_{friction} = {μ}{F}_{normal}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Where &#039;&#039;&#039;μ&#039;&#039;&#039; is the coefficient of friction between the two objects and &#039;&#039;&#039;F_normal&#039;&#039;&#039; is the normal force between the two surfaces. &lt;br /&gt;
&lt;br /&gt;
Static friction is the maximum force just before the two objects enter into motion and it is related to the coefficient of static friction. It is defined as follows:&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;{F}_{max,f} = {μ}_{static}{F}_{normal}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Where &#039;&#039;&#039;μ_static&#039;&#039;&#039; is the coefficient of static friction and &#039;&#039;&#039;F_normal&#039;&#039;&#039; is the normal force between the two surfaces. If the force exerted on the objects exceeds the &#039;&#039;&#039;F_max&#039;&#039;&#039; the objects start to move. &lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
&lt;br /&gt;
There is a box on top of a table and is not moving. The box has a mass &#039;&#039;&#039;M&#039;&#039;&#039; and the coefficient of static friction between the box and the table is &#039;&#039;&#039;μ_2&#039;&#039;&#039;. What is the friction force?&lt;br /&gt;
&lt;br /&gt;
[[File:Inc2.jpg]]&lt;br /&gt;
&lt;br /&gt;
The way to solve this problem is see that the box is not moving that means that there is a static friction force. The static friction force is calculated as follows:&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;{F}_{friction} = {F}_{N}{μ}_{s}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Take notice that &#039;&#039;&#039;F_N&#039;&#039;&#039; is equal to &#039;&#039;&#039;F_grav&#039;&#039;&#039; which is as follows:&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt; {F}_{grav} = {9.81}{M}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
There is a box resting on an incline plane with a mass &#039;&#039;&#039;M_b&#039;&#039;&#039;. The coefficient of static friction between the box and the ramp is &#039;&#039;&#039;μ_s&#039;&#039;&#039;. The box isn’t moving, what is the friction force?&lt;br /&gt;
&lt;br /&gt;
[[File:Mearathu31.jpg]]&lt;br /&gt;
&lt;br /&gt;
Solution:&lt;br /&gt;
&lt;br /&gt;
To solve the problem the first step required is to identify the free body diagram:&lt;br /&gt;
&lt;br /&gt;
[[File:Mearathu32.jpg]]&lt;br /&gt;
&lt;br /&gt;
The next step is to calculate the &#039;&#039;&#039;Y&#039;&#039;&#039; component of the &#039;&#039;&#039;F_grav &#039;&#039;&#039;. That will be equal to the &#039;&#039;&#039;F_N &#039;&#039;&#039;.&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;{F}_{N} = {F}_{grav}{sinθ}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;With {F}_{grav} = {9.81}{M}_{b}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The final step is to utilize the formula for static friction and the calculated &#039;&#039;&#039;F_N&#039;&#039;&#039;:&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;{F}_{friction} = {F}_{N}{μ}_{s}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
That solves the problem.&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
Friction is very involved in racing which is something I truly enjoy.&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Static friction is the answer that people gave to the question of why certain objects didn&#039;t slide down inclined planes or why when something was pushed it didn&#039;t go on forever. The basis of this is in Newton&#039;s Laws. &amp;quot;An object in motion will remain in motion unless an external force is exerted on it.&amp;quot; When an object is in motion, friction is the external force that is stopping it. Leonardo da Vinci is credited as the one who discovered the basic laws of friction.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Look below&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*The Wikipedia page on friction[https://en.wikipedia.org/wiki/Friction#Static_friction]&lt;br /&gt;
*An explanation of static friction with some diagrams[http://hyperphysics.phy-astr.gsu.edu/hbase/frict2.html]&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
*A couple of animations[http://www.animations.physics.unsw.edu.au/jw/weight_and_friction.htm]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
The book we used in class was a reference utilized in the creation of this page:&lt;br /&gt;
&lt;br /&gt;
Matter and Interactions 4th edition. Full Citation: Chabay, Ruth W., and Bruce A. Sherwood. Matter and Interactions. Hoboken, NJ: Wiley, 2011. Print.&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Sbutz6</name></author>
	</entry>
</feed>