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technical proof technical proof Rolling resistance, spin resistance, and "ball turn"
 

Summary: technical proof technical proof
TP B.2
Rolling resistance, spin resistance, and "ball turn"
supporting:
"The Illustrated Principles of Pool and Billiards"
http://billiards.colostate.edu
by David G. Alciatore, PhD, PE ("Dr. Dave")
originally posted: 1/14/2008 last revision: 2/1/2008
Here are the forces acting on a rolling ball:
v, -a
mg
rmg
mg
d

m: ball mass m 6 oz
I: ball mass moment of inertia
R: ball radius R 1.125 in
r: coefficient of rolling resistance
The translational equation of motion is:

  

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

 

Collections: Engineering