Conservation of Angular Momentum Video Lessons

Concept

# Problem: A merry-go-round is a playground ride that consists of a large disk mounted so that it can freely rotate in a horizontal plane. The merry-go-round is initially at rest, has a radius of R = 1.4 meters, and a mass M = 216 kg. A small boy of mass m = 41 kg runs tangentially to the merry-go-round at a speed of v = 1.9 m/s, and jumps on.(A) Calculate the moment of inertia of the merry-go-round.(B) Immediately before the boy jumps on the merry go round, calculate his angular speed about the central axis of the merry-go-round.(C) Immediately after the boy jumps on the ride, calculate the angular speed of the merry-go-round and the boy

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###### Problem Details

A merry-go-round is a playground ride that consists of a large disk mounted so that it can freely rotate in a horizontal plane. The merry-go-round is initially at rest, has a radius of R = 1.4 meters, and a mass M = 216 kg. A small boy of mass m = 41 kg runs tangentially to the merry-go-round at a speed of v = 1.9 m/s, and jumps on.

(A) Calculate the moment of inertia of the merry-go-round.
(B) Immediately before the boy jumps on the merry go round, calculate his angular speed about the central axis of the merry-go-round.
(C) Immediately after the boy jumps on the ride, calculate the angular speed of the merry-go-round and the boy