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technical proof technical proofTP A.29 Using throw to limit cue ball motion
 

Summary: technical proof technical proofTP A.29
Using throw to limit cue ball motion
supporting:
"The Illustrated Principles of Pool and Billiards"
http://billiards.colostate.edu
by David G. Alciatore, PhD, PE ("Dr. Dave")
originally posted: 5/18/2007 last revision: 5/18/2007
The illustration below defines the pertinent terminology and shows how throw (throw) is
related to shot angle (shot) and cut angle (). The cue ball has initial velocity vCB and final
velocity vCB', and the object ball has final velocity vOB'. The cue ball is assumed to have
pure sidespin () at contact (i.e., stun shot). A goal is to limit the cue ball motion to the
right (x direction) while achieving the desired shot angle to the left.
-
throw
vCB
v 'CB
n
t
v 'OB

  

Source: Alciatore, David G. - Department of Mechanical Engineering, Colorado State University

 

Collections: Engineering