If a billiard ball is hit in just the right way by a cue stick, the ball
Question:
If a billiard ball is hit in just the right way by a cue stick, the ball will roll without slipping immediately after losing contact with the stick. Consider a billiard ball (radius r, mass M) at rest on a horizontal pool table. A cue stick exerts a constant horizontal force F on the ball for a time t at a point that is a height h above the table's surface (see the figure).(Figure 1) Assume that the coefficient of kinetic friction between the ball and table is μk.
Determine the value for h so that the ball will roll without slipping immediately after losing contact with the stick.
Express your answer in terms of the variables r, M, F, μk, and appropriate constants.
Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson