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This doesn't take into account rotation though :( See http://archive.ncsa.illinois.edu/Classes/MATH198/townsend/in... for including rotation.
Would this also mean that the speed of the balls has to be taken into account? The differing effects of friction on the surface would surely alter as the balls move & spin slower?
This doesn't take into account rotation though :( See http://archive.ncsa.illinois.edu/Classes/MATH198/townsend/in... for including rotation.
Also doesn't take into account the direction of the nap of the cloth on the table - balls rolling 'up' will travel differently from those rolling 'down'. Would this also mean that the speed of the balls has to be taken into account? The differing effects of friction on the surface would surely alter as the balls move & spin slower?
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Also doesn't take into account the direction of the nap of the cloth on the table - balls rolling 'up' will travel differently from those rolling 'down'. Would this also mean that the speed of the balls has to be taken into account? The differing effects of friction on the surface would surely alter as the balls move & spin slower?
What about air friction? And the the Coriolis effect? And does observing the balls cause their wave function to collapse? :P
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I believe MathOverflow - a formerly non-SE site - targets graduate-level questions, while math.SE has a broader target user base.
Yeah, MathOverflow was a SE 1.0 site (when we had white-label Stack Exchange networks rather than internally made ones) which has since been added into the real network with the SE 2.0 rollout. Math.SE and MathOverflow seem to function well together even they though have similar areas of interests.
Earlier quoted context omitted.
Yeah, MathOverflow was a SE 1.0 site (when we had white-label Stack Exchange networks rather than internally made ones) which has since been added into the real network with the SE 2.0 rollout. Math.SE and MathOverflow seem to function well together even they though have similar areas of interests.
Could you explain the expression, "white-label?" First time I've heard it.
Earlier quoted context omitted.
What about air friction? And the the Coriolis effect? And does observing the balls cause their wave function to collapse? :P
Yes! We demand to know whether the pool table was in the northern or southern hemisphere :)
We also need to know the precise latitude of the pool table!
Earlier quoted context omitted.
Yeah, MathOverflow was a SE 1.0 site (when we had white-label Stack Exchange networks rather than internally made ones) which has since been added into the real network with the SE 2.0 rollout. Math.SE and MathOverflow seem to function well together even they though have similar areas of interests.
Could you explain the expression, "white-label?" First time I've heard it.
Can anyone explain the "rules" for a 3-way simultaneous colision? Freshman physics only covered collisions between 2 objects, and I've never figured out how to generalize it.
The author is simulating the collision as an event which happens gradually over an (admittedly short) period of time, using a differential equation, instead of something that happens all at once. That's why he has to talk about the elasticity model he's using, F ∝ (2-d)^1.5, and how the results vary when you change it.
What does the pattern of motion look like once they start bouncing off walls? What about if the table is frictionless?