Two children, A (mass 25 kg ) and B (mass 50 kg ), are playing on...

Two children, A (mass 25 kg ) and B (mass 50 kg ), are playing on a merry-go-round (which you can assume is a solid disk with mass 225 kg and radius 1.5m). Assume that any friction on the axle of the merry-go-round is negligible.

(A) A starts spinning the merry-go-round, giving it an angular velocity of 7 rad/s, then she stops pushing it. B runs with a speed of 6 m/s directly toward the center of the merry-go-round. He jumps and lands on the edge of the merry-go-round. What is the angular speed of the merry-go-round once B lands on it?

(B) After landing, B walks to the center of the merry-go-round. What is the angular speed of the merry-go-round when he gets to the center?

(C) While B is in the center of the merry-go-round, A runs up with a speed of 7 m/s tangentially in the same direction the merry-go-round is spinning, jumping onto the edge of the merry-go-round. What is the angular speed of the merry-go-round after A lands on it?

(D) A stays in place while B walks back to the edge of the merry-go-round. What is the angular speed of the merry-go-round when he gets there?

Solutions

Expert Solution

genius_generous answered 6 months ago

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