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(17%) Problem 6: A merry-go-round is a playground ride that consists of a large

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Question

(17%) Problem 6: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.4 meters, and a mass M= 226 kg. A small boy of mass ma = 43 kg runs tangentially to the merry-go-round at a speed of v = 1.1 ms, and jumps on. Randomized Variables R= 1.4 meters M= 226 kg m=43 kg v= 1.1 m/s ©theexpertta.com 17% Part (a) Calculate the moment of inertia of the merry-go-round, in kg-m2 Grade Summary Deductions Potential 0% 100%

Explanation / Answer

For the merry go round, the moment of inertia is:

Imgr = 1/2*M*R2 = 1/2*226*1.42 = 221.48 kg-m2

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