straightline: "Can you provide the logic behind this?"

Post 76, 78 & 79.
I can't do a video right now, but maybe we can do it with words. I'm not sure what level you are starting from, so here are some basics. Do you understand these?
  1. The standard, simple ghost ball idea is that if the cue ball touches the object ball on its point farthest from the pocket, the object ball will be driven perfectly straight towards the pocket. At the instant of contact, the centers of the cue ball and object ball are on a line to the pocket.
  2. If you include the friction between the balls, and the cue ball is moving across the object ball -- like for a cut shot -- the object ball will be pulled off that ideal line by the sideways friction from the cue ball. This is called "throw".
Do both of those make sense?

straightline: "Can you provide the logic behind this?"

Bob.... this is a fact.
Hitting the same contact point on a cut shot at a high speed.... INCREASES the CUTTING of THE object BALL. ...
Yes, and I measured that effect about 30 years ago and put it in an article in Billiards Digest.

Here is a plot of the measurements from my June, 1995 BD column. The "soft", "medium" and "hard" lines refer to the speed of the shot. For a 45-degree cut, a soft shot throws about 5 to 6 degrees. For a hard shot, it only throws 2 degrees. Up to a 15-degree cut, the speed makes no difference to the cut angle.
1763679595474.png

The point relative to the current discussion is that the throw is never negative. If you are cutting a frozen ball down the rail, any shot without side spin that hits the ball and cushion at the same instant will throw the object ball into the rail and likely miss if it's more than a couple diamonds to the pocket.

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