physics-based draw shot advice

enzo said:
dr_dave said:
More tip offset does not produce more draw as you approach the miscue limit, so it is prudent to not hit too close to the miscue limit
2 is the one i have the biggest problem with. to pocket balls with the most accuracy and increase the size of pockets, in general, getting as low as you possibly can on the cb, thereby maximizing the amount of draw you can get with respect to the force you use, is imperative to improve your overall percentage of pocketing balls and getting good position. is 2 saying you should not be very near the miscue limit, thus limiting you in the amount of draw you can get?

i would hazard to say even if there is only a slight return (in the form of more draw) as you go that tad bit lower, it is WELL worth it for the reasons stated above. to me, to consitenetly hit that lowest possible point on the cb without miscuing is one of the things that will define a good stroke and send a player into a "higher order of beings" as henry david thoreau puts it.
Excellent points. Because there is less CB speed with more offset, the OB will have less speed, and the effective "size" of the pocket will be larger.

Regards,
Dave
 
Slasher said:
I feel there is a "sweet spot" when applying draw and it is not the absolute bottom of the cue ball. It seems to be just above what you may call the miscue point where the tip still has full contact ( a clue maybe?) which seems to give the maximum torque, see here http://www.youtube.com/watch?v=Z2fJ-3elVTc

I don't believe I struck this as low as possible, I usually don't as that seems to lose some of the torque not to mention accuracy.
Exactly (per conclusion "3")! The sweet spot is at about 70%-80% tip offset for long power draw shots, not 100% (the miscue limit).

BTW, great shot!

Regards,
Dave
 
Awesome info.

I found the info on long distance draw especially interesting. I think I knew this subconsciously but never noticed it until now. I'm not sure what the physics are or how to express this, but it feels like a closer to center draw stroke may have less initial backspin, but it's sorta 'weightier' backspin and holds up longer over time and distance. Whereas those ultra low hits are going to wear off after a point, which is why they're nice for those short controlled draw shots.. you know you can't overcook the draw and end up with terrible shape because there's only so much work backspin alone can do. I guess to put it another way, if erring on the side of caution means not overdrawing it, then lower and soft is better than higher and firm.

Some questions:

1. Draw seems harder to control than follow, but why? Like if you shoot from somewhere near the corner at a straight-in ball in the center of the table, and you try to follow all the way across the table to scratch in the opposite corner (where the OB dropped), you will succeed on that scratch fairly often. But try to pocket the CB by drawing into the corner nearest you and it doesn't succeed as often. What's doing on there?

2. Does draw+sidespin carry the ball a little bit in the direction of the sidespin on any shot? I know center+sidespin won't, but I sort of picture draw and side whirling on a diagonal axis. If the CB's momentum is mostly killed at the moment of impact, it seems like that diagonal spin would carry the ball away at a different angle than pure backspin.

Ex: Let's say you have a cut of around 15-20 degrees. You're sending the OB to the right. You want to draw as straight back as possible, minimizing how far left the CB goes as it draws backwards. Is this accomplished with pure centerball draw? Would low left be ideal to throw in the OB, therefore you can cut it less, therefore straighter draw? Or would low right somehow alter the backspin direction and carry it more right?
 
dr_dave said:
Was anybody else surprised by this conclusion? When I was working on the analysis, I had spoken to Bob Jewett on the phone to get his sense on this, and he told me this was consistent with his experiences. Therefore, I am glad the results show it.

Is this consistent with the experience of others? I've tried to test this myself on my table, and I think I believe it, but it still seems counter intuitive to me (even though I know and believe the physics).

Regards,
Dave
Dave, I have always wondered about hitting the CB lower and the drag thats happening

Is the force applied to the CB not always straight forward, I know if you hit above center enough as in a follow shot the force drives it down and rebounds the CB off the slate enough to clear a coin or more even though a lot of people don't realize it.

Can the same happen for near miscue line draw shots where the friction of the cloth does not play a big role because the CB is getting less contact for a duration?
 
nickgeo said:
"The only thing the CB "cares" about is speed, offset, and elevation of the cue at impact."

Interesting. I can place the tip of my cue on the cueball, then stroke forward, and get draw. Speed of cue at impact = 0. Draw = finite. The cue ball must be caring about something else.

Speed?......
 
"The only thing the CB "cares" about is speed, offset, and elevation of the cue at impact."

Interesting. I can place the tip of my cue on the cueball, then stroke forward, and get draw.

I doubt this, but it doesn't matter.

Speed of cue at impact = 0. Draw = finite. The cue ball must be caring about something else.

There's no "impact" in this description, so it isn't a true analogy. But the principle is the same anyway: whatever tip speed you can achieve while in contact with the CB is what matters, impact or not.

pj
chgo
 
"I doubt this"

Eppur si muove.


If you can't do this with your stroke, try this. Use just the shaft of your cue. Then hit the joint with your hand. It will draw.

As to speed versus acceleration, try Koehler, p. 61.

Nick
 
Good draw requires an accelerating cue (stick). The speed at contact is irrelevant. The speed of the cue at loss of contact is the key issue.

If you misunderstood my experiment, it was a "limiting case." Move the cue tip a millimeter away from the cue ball and do the same experiment. At contact the cue is moving mighty slowly. At loss of contact, a fraction of a second later because the cue is accelerating, the cue is humming right along. Draw!

Consider trying to draw by throwing a one-ounce cue into the cue ball. Then try pushing it through, reaching the same speed as that at which you threw the cue. The latter might produce draw. The former bounces off the cue ball. (Don't try this at home, it's a thought experiment.)

Nick
 
I guess I should have preceded my statement with:

"With a legal and typical pool shot, ..." :p

Regards,
Dave

nickgeo said:
"The only thing the CB "cares" about is speed, offset, and elevation of the cue at impact."

Interesting. I can place the tip of my cue on the cueball, then stroke forward, and get draw. Speed of cue at impact = 0. Draw = finite. The cue ball must be caring about something else.

A century ago Maurice Daly discussed the importance of cue acceleration. And Hoppe said to shorten the bridge for draw (likely cue accelerating at contact). I have followed their advice and always thought that acceleration was the key to spin. Longer contact time and distance for energy transfer: think like a sailor--fetch and time-contact of an ocean wave.

But I really don't know much physics: took "Physics for Poets" while trying college and remember only two things: A. It sucked, and B. I got a C. Spent my time at 7-11, McGirr's, Julian's, Ames, and some nameless holes instead. The demonstrations there were far more exciting!

So I may be out of my league here.

Nick
 
randyg said:
Thanks Dr. Dave. Another great post....:-)....SPF=randyg
Thanks Randy. I really appreciate this because I have a lot of respect for you and the impact you have had on the sport.

Regards,
Dave
 
Sir, I will commit "pool-illegal" acts to explore and learn.

BTW, this experiment is simply a limiting case of what slip-strokes are all about.

Nick
 
CreeDo said:
Awesome info.
Thanks.

CreeDo said:
I found the info on long distance draw especially interesting. I think I knew this subconsciously but never noticed it until now.
Me too.

CreeDo said:
I'm not sure what the physics are or how to express this, but it feels like a closer to center draw stroke may have less initial backspin, but it's sorta 'weightier' backspin and holds up longer over time and distance.
When you hit the ball lower, the ball gets more spin but less speed. More drag (and spin loss) occurs because of the slower speed.

CreeDo said:
Some questions:

1. Draw seems harder to control than follow, but why? Like if you shoot from somewhere near the corner at a straight-in ball in the center of the table, and you try to follow all the way across the table to scratch in the opposite corner (where the OB dropped), you will succeed on that scratch fairly often. But try to pocket the CB by drawing into the corner nearest you and it doesn't succeed as often. What's doing on there?
I think one reason is: you need more power for the draw shot, and many people are less accurate with more power. More reasons can be found here:

CreeDo said:
2. Does draw+sidespin carry the ball a little bit in the direction of the sidespin on any shot? I know center+sidespin won't, but I sort of picture draw and side whirling on a diagonal axis. If the CB's momentum is mostly killed at the moment of impact, it seems like that diagonal spin would carry the ball away at a different angle than pure backspin.

Ex: Let's say you have a cut of around 15-20 degrees. You're sending the OB to the right. You want to draw as straight back as possible, minimizing how far left the CB goes as it draws backwards. Is this accomplished with pure centerball draw? Would low left be ideal to throw in the OB, therefore you can cut it less, therefore straighter draw? Or would low right somehow alter the backspin direction and carry it more right?
Check out the articles from me and Bob linked here:
They don't cover the backspin case directly, but I think the general principles still apply.

Also, see:

I hope that helps.

Excellent questions!!!

Regards,
Dave
 
Boostaholic said:
Dave, I have always wondered about hitting the CB lower and the drag thats happening

Is the force applied to the CB not always straight forward, I know if you hit above center enough as in a follow shot the force drives it down and rebounds the CB off the slate enough to clear a coin or more even though a lot of people don't realize it.
FYI, I have a good video demo of this here:

Boostaholic said:
Can the same happen for near miscue line draw shots where the friction of the cloth does not play a big role because the CB is getting less contact for a duration?
I think cue elevation and the amount of squirt up can effect the draw action, but I have not studied this enough yet to fully understand it. Some related info can be found here:

Regards,
Dave
 
nickgeo said:
As to speed versus acceleration, try Koehler, p. 61.
I think Koehler's book is excellent. I used it as a resource when I was working on my book. However, I don't agree with his statements about acceleration. Cue speed, not acceleration, is what gives the CB speed and spin. Most people accelerate very little at ball impact. And acceleration during impact will have negligible effect with a normal pool stroke anyway. Actually, if you accelerate too late, you have lost the opportunity to create more cue speed (by accelerating earlier). For more info, see the video, article, and analysis links here:


Having said all of this, the advice to "accelerate into the ball" might actually help some people create a smoother stroke with more cue speed and a good resulting follow through. But again, the final cue speed (just before impact), and the tip offset, are what are important.

Regards,
Dave
 
dr_dave said:
I just completed a very thorough analysis of draw shot physics. [...]

Thanks Dave.

Interested in the pronounced flattenening of w (spin) at high b for an inelastic tip.

When I look at your equation for the effect of inelasticity on w, it seems the effects are all in v, i.e., w = stuff*v with the tip efficiency buried in v. This means your equations say tip efficiency has no effect on w/v, the spin-to-speed ratio and in particular how w/v depends on b.

The graphs in your analysis seem to tell a different story.

In going from 80% to 100% of miscue limit, the elastic tip seems to decrease v by 10-15% and increase w by 20% or so.

With the inelastic tip v is decreased by a similar proportion while w is barely increased...

thoughts?
 
Good stuff here! It seems to fit with my experiences as well, but I've never been able to put numbers on any of this. Thanks for posting this, Dave. And, thanks for putting the conclusions in language us non-physicists can understand!
 
mikepage said:
Thanks Dave.

Interested in the pronounced flattenening of w (spin) at high b for an inelastic tip.
I was also a little surprised by this.

mikepage said:
When I look at your equation for the effect of inelasticity on w, it seems the effects are all in v, i.e., w = stuff*v with the tip efficiency buried in v. This means your equations say tip efficiency has no effect on w/v, the spin-to-speed ratio and in particular how w/v depends on b.
That's correct. See Equations 3, 4, and 6 in TP A.30. The relationship between CB spin and speed is not affected by energy. It is a direct result of momentum principles. The spin-rate factor (SRF = w / (v/R)) is:
SRF = (5/2)(b/R)​

At b_max = R/2, SRF = 1.25.

mikepage said:
The graphs in your analysis seem to tell a different story.

In going from 80% to 100% of miscue limit, the elastic tip seems to decrease v by 10-15% and increase w by 20% or so.

With the inelastic tip v is decreased by a similar proportion while w is barely increased...

thoughts?
I think this is an "optical illusion." :cool: :grin:

The curves seem to tell one story, but the ratio remains directly proportional to tip offset for both perfect and inelastic tips. To be sure, I temporarily added spin-rate-factor plots to my analysis file (but I didn't post it). Sure enough, both plots were straight lines. I also checked the ratio at the maximum offset for both cases, and both numbers were 1.25. Unless I am missing something, I think everything is hunky-dory. Please let me know if you still think otherwise.

Regards,
Dave

PS: Thank you for taking an in-depth look at my document. I'm glad there's a few people out there (you, Jal, Bob, PJ, others) who can "check my work."
 
spoons said:
Good stuff here! It seems to fit with my experiences as well, but I've never been able to put numbers on any of this. Thanks for posting this, Dave. And, thanks for putting the conclusions in language us non-physicists can understand!
Thanks. I feel much more confident with the results now that many experienced people have provided some support and validation. l still wish I had a robot with which I could provide conclusive proof with real cues and real balls and accurate and repeatable tip placement and cue speed. Hopefully, we will have such proof one day.

Regards,
Dave
 
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