martind2112
Registered
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:
Sometimes cue elevation is required to clear over an obstacle ball, or to prevent a double hit when there is a small gap between the CB and OB. And as noted above, with larger cue elevations, better "quick draw" action can result. However, for maximum draw distance, a level cue (or as close to level is possible) appears to be best.
- 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:
Dr Dave, have you considered squirt in the vertical plane?
When I was a beginning player, I heard and read to keep the cue as level as possible. So I figured that setting up a shot where the cue would clear the rails (I'm talkin' a really level cue here!) would yield the maximum amount of draw. This mostly resulted in scooping up the cue ball and miscues.
I contend that some elevation is required so that the initial velocity of the cue ball is absolutely horizontal (Vy0 = 0). Less elevation for an LD shaft, a bit more elevation for regular shafts. Past this point, we actually perform a jump shot, with Vy0 < 0.
As a corollary, I submit that your demonstration of a follow-shot jumping over dimes is caused by a similar vertical squirt phenomenon, only, in the downward direction.
* I know the thread is 6-years old, but I'm right on topic... I think ;-)
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