Siz said:...For as long as there is contact, the tip can exert a force on the c.b. and increase its rotational speed.
Yes, but it also increases its forward speed. When you hit the CB at a certain point, let's say at maximum tip offset (right at the edge of miscue territory), a fraction of the force goes into producing spin and a fraction of it goes into producing forward motion. This ratio of spin-to-speed is the same whenever you hit the CB at that point and for whatever length of time you push on that point. More pushing doesn't mean just more spin; it also means more speed.
If you could increase the contact time so that the cue "pushes" the CB instead of "striking" it, for every moment the tip remained in contact with that point it would transmit more force to the CB, but the same fraction of that added force would go into producing spin and the same fraction would go into producing forward motion. The spin-to-speed ratio would not change.
The only way the spin-to-speed ratio changes is if the tip rotates away from the CB's center while in contact, where a different ratio of spin-to-speed is produced. This happens during the brief moment (~1/1000 second) the tip is in contact with the CB, and would happen to a greater degree if we could increase contact time. The CB's final spin-to-speed ratio is the result of the greatest tip offset that was ultimately achieved by the tip rotating away from centerball.
OK, so we can increase the spin-to-speed ratio with longer contact time. Yes, but there's a hitch - we don't gain anything that we couldn't gain by simply hitting farther from center in the first place. The greatest possible spin-to-speed ratio is that produced when the tip is at the miscue limit - after that it begins to slip on the CB's surface. It doesn't matter whether we get to the miscue limit by hitting that point first or by keeping the tip on the CB while it rotates out to the miscue limit from a point closer to centerball. In the end both methods produce the same maximum spin-to-speed ratio. And this is also true of less-than-maximum spin-to-speed ratios: you can get the same amount of spin by hitting a little farther out in the first place.
In other words, even if we could increase tip contact time, we wouldn't be able to get more spin than we could get without increasing contact time.
However, there is a caveat to all this when we speak of draw or follow: although more speed doesn't change the effect of sidespin, it does change the effect of draw and follow. More speed means more draw and follow because no matter how fast the CB is moving its forward motion is stopped by the OB but its draw or follow spin is not. So if it's rotating faster before it hits the OB it will also be rotating faster after hitting the OB (and stopping), which produces more draw or follow.
So, unlike sidespin, the effects of draw and follow are increased by hitting harder (and also theoretically by increasing contact time, assuming that produces more speed). This means that, for instance, shaft stiffness, tip hardness and even cue weight might make it easier to get more draw and follow because they might transmit more of your stroke's force. However, they wouldn't change the effectiveness of sidespin.
pj
chgo
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