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(8%) Problem 13: 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= 206 kg. A small boy of mass m = 41 kg runs tangentially to the merry-go-round at a speed of v= 2.4 m/s, and jumps on. Randomized Variables R = 1.4 meters M = 206 kg m = 41 kg v = 2.4 m/s ▷ A 17% Part (a) Calculate the moment of inertia of the merry-go-round, in kg. m². I = Otheexpertta.com Grade Summary Deductions 0%
A 17% Part (b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round. A 17% Part (c) Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy. A 17% Part (d) The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry- go-round when the boy is half way between the edge and the center of the merry go round? A 17% Part (e) The boy then crawls to the center of the merry-go-round. What is the angular speed in radians/second of the merry-go-round when the boy is at the center of the merry go round? A 17% Part (f) Finally, the boy decides that he has had enough fun. He decides to crawl to the outer edge of the merry-go-round and jump off. Somehow, he manages to jump in such a way that he hits the ground with zero velocity with respect to the ground. What is the angular speed in radians/second of the merry-go-round after the boy jumps off?