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A cue ball (a uniform solid sphere of mass mm and radius R is at rest on a level pool table. Using a pool cue, you give the ball a sharp, horizontal hit of magnitude F at a height hh above the center of the ball. The force of the hit is much greater than the friction force ff that the table surface exerts on the ball. The hit lasts for a short time Δt.
For what value of hh will the ball roll without slipping?
If you hit the ball dead center (h = 0), the ball will slide across the table for a while, but eventually, it will roll without slipping.
Draw a free-body diagram for the ball during the hit for the situation. Assume friction force does not act on the ball during the hit throughout this problem.
Draw a free-body diagram for the ball after the hit but before it starts rolling without slipping.
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