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Grade: 11

                        

A bowler throws a bowling ball of radius R = 11.0 cm down the lane with initial speed = 8.50 m/s. The ball is thrown in such a way that it skids for a certain distance before it starts to roll. It is not rotating at all when it first hits the lane, its motion being pure translation. The coefficient of kinetic friction between the ball and the lane is 0.210. (a) For what length of time does the ball skid? (Hint: As the ball skids, its speed v decreases and its angular speed ω increases; skidding ceases when v = Rω.) (b) How far down the lane does it skid? (c) How many revolutions does it make before it starts to roll? (d) How fast is it moving when it starts to roll?

5 years ago

Answers : (1)

Kevin Nash
askIITians Faculty
332 Points
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Also, the change in angular momentum in time t is,
234-875_1.PNG
Here, I is the rotational inertia of the ball, and R is its radius.
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5 years ago
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