This thread was very good for me as it helped me re-organize my definitions. This is actually hard to define.
Please let me know if you agree with the following:
A "stroke" is the combination of the following components:
1. Speed
2. Acceleration profile
3. Path of the tip
4. Bridge length
5. Nominal effective end mass of cue
6. Coupling of the mass of your arm to the cue
7. Follow through length
This allows for a tremendous variety of different strokes.
The time that the tip is in contact with the cue ball is about 2ms at most. This means that #2, #3 and #7 has negligible contribution to the interaction during the 2ms contact time, due to the very small ratio of contact time divided by the acceleration and velocity of the cue. Hand-roll that affects tip yaw angle also is negligible due to the ratio.
The coupling of ones arm to the cue MAY affect the end mass. I say may because I am not certain this is true, I need to do more research. The bridge length also affects the effective end mass. Therefore the combination of #6 and #7 may contribute to variations of effective end mass.
Therefore,
A cue ball interaction is the combination of the following indivisible components:
1. Speed
2. Cue angle (pitch and yaw)
3. Cue tip location (x and y coordinates relative to center of cue ball)
4. Contributive end mass of the cue
So this means that a stroke can only affect the ball in the above four ways.
As I said, it may be possible to hit the ball with the exact same speed, cue angle, and tip location, and change the squirt with different bridge lengths and grip strengths to achieve different cue ball paths, but I am not sure to what degree.
However, does anyone believe I missed anything on this list?
If you want to dismiss this effort because you do not see value in analysis than I kindly ask you don’t reply. Thanks