Dave:
Thanks for your lengthy response which I won't quote here.
If the cue tip-CB contact is FRICTIONLESS, the laws of physics demand that the CB will travel in the direction of the contact vector. (This would be the maximum squirt case.) The force on the CB can be resolved in two directions: one force axial through the contact point and one force tangential, but we have defined the tangential force as zero. Therefore there is only one direction the CB could go in a frictionless case, and that is along the contact vector.
I have to stop here and ask, "do you disagree?" (Please specifically address this question.)
Therefore the fact that the CB does not travel in this direction, and travels closer to (but not co-linear with) the cue direction is due to cue tip-CB friction, whether or not there is slippage during contact.
Thanks for your lengthy response which I won't quote here.
If the cue tip-CB contact is FRICTIONLESS, the laws of physics demand that the CB will travel in the direction of the contact vector. (This would be the maximum squirt case.) The force on the CB can be resolved in two directions: one force axial through the contact point and one force tangential, but we have defined the tangential force as zero. Therefore there is only one direction the CB could go in a frictionless case, and that is along the contact vector.
I have to stop here and ask, "do you disagree?" (Please specifically address this question.)
Therefore the fact that the CB does not travel in this direction, and travels closer to (but not co-linear with) the cue direction is due to cue tip-CB friction, whether or not there is slippage during contact.
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