Reciprocity: Difference between revisions
No edit summary |
|||
Line 11: | Line 11: | ||
Here is a formulaic representation of reciprocity. F12=-F21. This shows that | Here is a formulaic representation of reciprocity. F12=-F21. This shows that | ||
::<math>{\mathbf{F}}_{12}= {\mathbf{-F}}_{21}\ | ::<math>{\mathbf{F}}_{12}= {\mathbf{-F}}_{21}\; | ||
This equation on the left side. shows that object one is acting on object 2 | This is the equation in vector format. When the vector of one force is in one direction. Usually, the vector is in the other direction; | ||
::<math>\vec{\mathbf{F}}_{12}= vec{\mathbf{F}}_{21}; | |||
This equation on the left side. shows that object one is acting on object 2; | |||
What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | ||
Line 28: | Line 31: | ||
==Connectedness== | ==Connectedness== | ||
# | # The first physics I ever learned was Newtons laws. Before heading into any science class, I always thought, every reaction gets an equal and opposite reaction. I didnt really understand it. That is a fundamental principle that we use in almost all physics problems. It has been test questions and homework questions. The thing that intrigues me the most is how an ant can be pushing against a rhino and though the rhino is so much bigger, they are still exerting the same force. | ||
# | #I am an industrial engineering major and though there is very minimal use of physics in that field, I do believe it is something that will help us go about our days knowing that force isn't how much effort you put in but about the action reaction pairs. | ||
# | #Forces are something we deal with everyday. Everything we touch, me typing this page right now is all the result of forces. | ||
==History== | ==History== |
Revision as of 14:45, 16 April 2016
claimed by ksomu3
This topic covers why forces on each other are equal.
The Main Idea
Reciprocity is the idea that the force object 1 exerts on object 2 is the same as the force object 2 exerts on object 1. This idea comes from Newton's Third Law of Motion. Forces are results of interactions. If i put my hand on a table, I am exerting a contact force on the table, but at the same time the table is using a exerting force on me. Though it seems like I am putting in more effort, the forces are the same. Forces come in pairs. The two forces are called "action" and "reaction" pairs. When forces are in these pairs, the magnitude of the two forces equal each other. However, in vector form, the two forces would be in opposite directions of each other, so one force would have a negative sign on it.
A Mathematical Model
Here is a formulaic representation of reciprocity. F12=-F21. This shows that
- [math]\displaystyle{ {\mathbf{F}}_{12}= {\mathbf{-F}}_{21}\; This is the equation in vector format. When the vector of one force is in one direction. Usually, the vector is in the other direction; ::\lt math\gt \vec{\mathbf{F}}_{12}= vec{\mathbf{F}}_{21}; This equation on the left side. shows that object one is acting on object 2; What are the mathematical equations that allow us to model this topic. For example \lt math\gt {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
Examples
Be sure to show all steps in your solution and include diagrams whenever possible
Simple
Middling
Difficult
Connectedness
- The first physics I ever learned was Newtons laws. Before heading into any science class, I always thought, every reaction gets an equal and opposite reaction. I didnt really understand it. That is a fundamental principle that we use in almost all physics problems. It has been test questions and homework questions. The thing that intrigues me the most is how an ant can be pushing against a rhino and though the rhino is so much bigger, they are still exerting the same force.
- I am an industrial engineering major and though there is very minimal use of physics in that field, I do believe it is something that will help us go about our days knowing that force isn't how much effort you put in but about the action reaction pairs.
- Forces are something we deal with everyday. Everything we touch, me typing this page right now is all the result of forces.
History
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
See also
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?
Further reading
Books, Articles or other print media on this topic
External links
Internet resources on this topic
References
This section contains the the references you used while writing this page