Collision of two billiard balls with spin

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SUMMARY

The discussion centers on the collision dynamics of two identical billiard balls, each with mass M and radius R, during elastic collisions. In the first scenario, ball 1 collides with stationary ball 2, resulting in ball 1 stopping and maintaining its spin, while ball 2 acquires the center of mass velocity of ball 1 without any spin transfer due to the absence of kinetic friction. In the second scenario, both balls collide head-on and reverse their motion, leading to a swap of spins despite the lack of friction between the balls, suggesting that friction from the table plays a crucial role in altering angular momentum during the collision.

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  • #31
FallenApple said:
So the reversal happened during the collision but not because of it? So if the other ball wasn't there, the first ball would just keep moving forward but have its rotation changed?
No. No reversal of rotation happened during the collision at all. You are trying to explain an effect that just does not happen.

Consider what happens after a collision in which a ball retains its rotational motion but reverses its linear motion.
 
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  • #32
Going back and re-reading #17, the reversal of rotation is a given. We cannot argue with it. And I have been doing exactly that.

We know that the balls do not accelerate vertically so there can be no impulsive normal force. We are left with the possibility of an impulsive frictional force.
 
  • #33
jbriggs444 said:
Going back and re-reading #17, the reversal of rotation is a given. We cannot argue with it. And I have been doing exactly that.

We know that the balls do not accelerate vertically so there can be no impulsive normal force. We are left with the possibility of an impulsive frictional force.
Thanks for confirming. Regardless, this discussion has really helped me clear up some critical misconceptions I held.

So basically, in a vacuum, when they collide, only linear velocity is reversed and each balls rotation stays the same.

On a table, it could be either way(reversal of rotation or not), depending on the type of material of the surface and material of the billiard balls. And we cannot tell ahead of time so it must be a given in the problem if we are to use frictional impulse.
 

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