First, you are now discussing spin transfer, and not OB trajectory (as in your original post). Another moving target. But to address your questions:coopdeville said:my small brain doesn't comprehend tangent lines on perfectly straight
shots.
(1) The only physically possible reaction is a follow or draw.
(2) please tell me why the OB isn't spinning at a similar rate
to the CB. I'm dying to know.
(1) Wrong. [Newton (3)]. As a simple sanity check, why couldn't the ball go UP? that's not follow or draw. Similarly, spin will cause some other effect.
(2) (a) Because they are spheres, (b) because the contact point is very small in proprotion to the ball size, (c) because the balls are only 2.25" in diameter, (d) because this isn't a perfect collision, (e) because the collision is for a fraction of a second, (f) because of the polished surface.
Thus only a perctage of spin is transferred. This is a calculatable amount based on physical properties. Pull out your copy of the "Science of Pocket Billiards" to confirm via experimental data.
As a simply sanity check: if the balls were "sticky" (perhaps with glue on them) - the effect would be obvious. Lessen the "stickiness" you get less transfer.
In fact, it's clear you understand this by your caveat of "clean" object balls. That is, your statement concedes that you understand the effect of friction on spherical collisions.
-td