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
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Conservation of Angular Momentum concept. You can view video lessons to learn Conservation of Angular Momentum. Or if you need more Conservation of Angular Momentum practice, you can also practice Conservation of Angular Momentum practice problems.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor McGill & Ray's class at UF.