I do not understand how to solve this problem. In the figure below, a 30 kg chil

Question

I do not understand how to solve this problem.

In the figure below, a 30 kg child stands on the edge of a stationary merry-go-round of mass 100 kg and radius 2.0 m. The rotational inertia of the merry-go-round about its rotation axis is 150 kg-m2. The child catches a ball of mass 1.3 kg thrown by a friend. Just before the ball is caught, it has a horizontal velocity v of magnitude 11 m/s, at angle phi = 37degree with a line tangent to the outer edge of the merry-go-round, as shown. What is the angular speed of the merry-go-round just after the ball is caught? rad/s

Explanation / Answer

conserving angular momentum,

150*w +(1.3+30)*2^2*w=1.3*11*2*cos37

or w=0.08314 rad/s

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