As I promised in my previous threads dealing with draw shot physics, I finally got around to studying the effects of cue elevation. For people who like the math and physics, it can be found here:
For people who don't like the math and physics, here are the bottom-line conclusions:
The math and physics is fairly involved, but here's the basic concept:
I look forward to any comments, suggestions, disagreements, or questions you might have.
Regards,
Dave
PS: FYI, the conclusions from all of my draw analyses can be found here:
For people who don't like the math and physics, here are the bottom-line conclusions:
- Elevating the cue reduces the amount of CB spin at OB contact, resulting in less draw distance (see TP B.8 for more info). The loss in spin is small for small cue elevations, but increases with more elevation (for a given cue speed and tip offset).
- Modest cue elevations (about 0-15 degrees) reduce the spin-to-speed ratio of the CB at OB contact, resulting in "slower" draw (see TP B.9 for more info).
- As you increase cue elevation above about 20 degrees, the spin-to-forward-speed ratio increases, allowing for "quicker" draw (see TP B.9 for more info). An extreme example is a highly elevated masse draw (pique) shot, where you create lots of backspin with very little forward speed.
The math and physics is fairly involved, but here's the basic concept:
With an elevated cue, the CB doesn't lose any speed or spin while it is airborne (between the bounces); however, more speed and spin is lost during the bounces (including the first bounce off the tip, based on HSV B.44) than with a near-level-cue drag shot.
I look forward to any comments, suggestions, disagreements, or questions you might have.
Regards,
Dave
PS: FYI, the conclusions from all of my draw analyses can be found here: