If a billiard ball is hit in just the right way by a cue

Chapter 10, Problem 10.96

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If a billiard ball is hit in just the right way by a cue stick, theball will roll without slipping immediately after losingcontact with the stick. Consider a billiard ball (radius r,mass M) at rest on a horizontal pool table. A cue stickexerts a constant horizontal force F on the ball for atime t at a point that is a height h above the tables surface(see Fig. 10-68). Assume that the coefficient of kinetic frictionbetween the ball and table is . Determine the value for hso that the ball will roll without slipping immediately afterlosing contact with the stick.FIGURE 10-68 96.

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