a question for our scientifically-minded fellows:
We try to maximize the amount of throw and transferred spin from a cb/ob collision by making the cb hit the ob with just the right amount of side spin (ignoring the effects of speed and vertical spin). We estimate the right combinations, but how do we know immediately how successful we are? How can we visually confirm that we've maximized throw/spinxfr?
It seems to me that if we've produced the maximum amount of throw and transferred the maximum amount of spin, then the cb should have no side spin (in either direction) after the collision. Setting aside the difficulty of actually being able to see this in real time, am i right about what to look for?
Pj
chgo
patrick,
consider a stun shot. There's one, and only one class of cases where the cb will end up with no side spin after the collision. That occurs when using inside english and the amount of inside english (measured as surface speed at its equator) is 5/14'ths of the total change in relative surface speed at the point of contact during the collision. (the total relative surface speed is the sum of the cueball's velocity component along the tangent line, plus the additional surface speed from the inside english.) however, this cannot produce maximum throw.
Maximum throw occurs when the balls end up gearing at the very end of the collision (i.e., the total relative surface speed is reduced to zero). In order for this to take place, the cueball's velocity component along the tangent line (pre-collision) must be 1/7'th of the total relative surface speed. In the above scenario where the inside english is 5/14'ths of the relative surface speed, the cb's velocity component along the tangent line must therefore be 9/14'ths of it (1 - 5/14) - very different from 1/7'th.
Also, there are no cases where outside english results in maximum throw and the cueball ends up with no spin. So using post-collision cb spin (or lack of it) as a gauge is not very useful.
I don't think there's any easy way. How much spin to use for a given cut angle is calculable, and you can find the results in one of dr. Dave's massive technical articles on throw.
Jim
man, i was confused by the OP. then confused by the reply. then i figured out you guys were actually geared up, as jal knew where to substitute "maximum" and "optimal" and still stay in conversational step..... jal, do my taxes!
so, borrowing and extending, or re-factoring the original question.... how do you know you've delivered the optimal gearing English to cancel throw? more specifically, how can i tell if i delivered the amount i intended, if i'm trying to follow the "40% of..." rule?
what can i look at, to discern whether i A) undercut and overthrew, B) overcut and underthrew, or C) delivered as intended? (the extent of my precision is a binary determination of spinning or not using a ball with a stripe).
now having digested jal's post.... for this case, there's nothing i can learn from observing the cue ball with my own eyes (CB spinning w outside before collision -> CB spinning w outside after collision).
and in thinking about it further, there's no way to differentiate between A,B,C based upon OB observation. (assuming the OB is headed to *exactly* the same spot each time, not within pocket tolerances. no tangential force == no sidespin). tell me i'm wrong (please!).... i'd love to know how.
great original question. what signals are there? besides a pre-aligned striped ball that may/not spin when moving?