A student of mass m = 50 kg wants to measure the mass of a playground merry-go-r

Question

A student of mass m = 50 kg wants to measure the mass of a playground merry-go-round, which consists of a solid metal disk of radius R = 1.5 m that is mounted in a horizontal position on a low-friction axle. She tries an experiment: She runs with speed v = 6.6 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.

Please answer only if you are 100% sure

thanks a lot

Explanation / Answer

mass of the merry go round is 238 kg. so total moment of inertia. I=238*1.5^2/2+50*1.5^2=380(kgm2) total angular momentum. 50*1.5*6.6=500(kgm2/s). so that torque of friction force. T*39=500 so T=12.8

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