A merry-go-round can be considered a uniform disk of mass 125 kg and free to rotate about a frictionless axis through its center. It is initially rotating at 1.50 rad/sec. A 40.0 kg child runs towards the merry-go-round at a radius of 2.25 m/s as shown in the diagram. The child jumps on, landing on its edge. What is the angular velocity of the merry-go-round immediately after the child has landed safely? The moment of inertia of a point mass is mr^2 and the moment of inertia of a uniform disk about its center is 4MR^2.