Problem

A student of mass 52 kg wants to measure the mass of a playground merry-go-round, which co...

A student of mass 52 kg wants to measure the mass of a playground merry-go-round, which consists of a solid metal disk of radius R = 1.5m that is mounted in a horizontal position on a low-friction axle. She tries an experiment: She runs with speed ν = 6.8 m/s toward the outer rim of the merry-go-round and jumps on to the outer rim, as shown in the figure. The merry-go-round is initially at rest before the student jumps on and rotates at 1.3 rad/s immediately after she jumps on. You may assume that the student s mass is concentrated at a point.

a) What is the mass of the merry-go-round?

b) If it takes 35 s for the merry-go-round to come to a stop after the student has jumped on, what is the average torque due to friction in the axle?

c) How many times does the merry-go-round rotate before it stops, assuming that the torque due to frictiot) is constant?

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Solutions For Problems in Chapter 10

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