Two boys at the merry go round!

In Figure above, a 30kg 30 kg child stands on the edge of a stationary merry-go-round of radius 2.0m2.0 m. The rotational inertia of the merry-go-round about its rotation axis is 150kgm2150 kg m^{2}• The child catches a ball of mass 1.0kg1.0 kg thrown by a friend. Just before the ball is caught, it has a horizontal velocity v \vec{v} of magnitude 12m/s12 m/s, at angle ϕ=37° \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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