Two boys at the merry go round!

In Figure above, a \( 30 kg\) child stands on the edge of a stationary merry-go-round of radius \(2.0 m\). The rotational inertia of the merry-go-round about its rotation axis is \(150 kg m^{2}\)• The child catches a ball of mass \(1.0 kg\) thrown by a friend. Just before the ball is caught, it has a horizontal velocity \( \vec{v}\) of magnitude \(12 m/s\), at angle \( \phi= 37°\) with. a line tangent to the outer edge of the merry-go-round, as shown. What is the angular speed (in rad/sec) of the merry-go-round just after the ball is caught?

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