In the figure below, a 20 kg child stands on the edge of a stationary merry-go-round of radius 3.0 m. The rotational inertia of the merry-go-round about its rotation axis is 150 kg · m2. The child catches a ball of mass 1.4 kg thrown by a friend. Just before the ball is caught, it has a horizontal velocity v (with arrow) of magnitude 14 m/s, at angle = 37° 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? The answer is 0.137 rad/s but I can't figure out how to solve this.