Skeezicks said:
I read this question as: When two balls collide such that the line of centers at the moment of contact is parallel to the direction of the cue ball's travel (full ball hit) and the cue ball has stun side spin, does the cue ball stop dead (and spin) or move ever so slightly to the side (and spin)?
Yes, I think this is the intended question.
Here are the physical principles involved.
When the above collision happens, say with left spin, the object ball will be thrown to the right. If the object ball gets pushed to the right , then whatever pushed it (the cue ball here) gets pushed to the left with the same force. This is Newton's Third Law. (Every action has an equal and opposite reaction).
A consequence of Newton's Third Law is the Conservation of Momentum. The way you apply that here is to compare the total sideways momentum just before the collision to the total sideways momentum just after the collision. They MUST be the same.
With the full hit described above, the total sideways momentum just before the collision is zero (nothing moving to the left and nothing moving to the right). Just after the collision, we see the object ball angling off to the right a bit. So there is some small component of the object ball's velocity that is "to the right" and thus a small amount of momentum (ball mass times this velocity component). Conservation of momentum demands there be a canceling momentum to the left. We know this because the total sideways momentum must be zero, as it was before the collision. So the cueball will be moving to the left with the same speed as the sideways component of the object ball's speed.
BUT BUT BUT ....
We have all seen a cueball stop dead with spin *and* an object ball throw to the right! Anyone who plays straight pool knows he can stop a cueball dead and throw an object ball. What's the deal? Is the physics described above only kinda right? Or only right in an idealized world? Or does it require elastic collisions or some such thing?
---NO, the physics described above is completely right and always right.
The deal is that on those shots we've done and seen, the cueball is always close to the object ball. And if you look carefully, to throw the object ball to the right stopping the cueball with spin, we are actually cutting the object ball to the left a bit--just enough to counteract the cueball's tendency to move left because of the throw. And the object ball still throws to the right.
So after the collision there is net sideways momentum to the right (cueball is still and object ball is movng to the right). There must have been net sideways momentum to the right before the collision! There was. Recall the cueball was struck slightly to the right to create a small cut angle.
This shot cannot be done with the cueball too far away from the object ball.
mike page
fargo