A child runs and, with a velocity that equals the tangential velocity of a rotat

Question

A child runs and, with a velocity that equals the tangential velocity of a rotating playground merry-go-round, lands on its outer edge. You may treat the merry-go-round as a horizontal disk that rotates freely about its central axis without friction. Under these circumstances, and defining w to be angular velocity and L to be angular momentum,

A. Wmerry-go-round will increase
B. Wmerry-go-round will be unchanged
C. Wmerry-go-round will decrease
D. Lchild + Lmerry-go-round about the merry go round's rotation axis will increase
E. Lchild + Lmerry-go-round about the merry-go-round's rotation axis will decrease

Explanation / Answer

Total angular momentum will not change. As the child land the outer edge (that means leave the merry-go-round) moment of inertia decreases, so the angular velocity will increase. I think ans will be option A.

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