Two children A and B, each having a mass of 30 kg, sit at the edge of the merry-go-round...

Two children A and B, each having a mass of 30 kg, sit at the edge of the merry-go-round which rotates at = 2 rad/s. Excluding the children, the merry-go-round has a mass of 180 kg and a radius of gyration k_z = 0.6 m. Determine the angular velocity of the merry-go-round if A jumps off horizontally in the —n direction with a speed of 2 m/s, measured relative to the merry-go-round. What is the merry-go-round's angular velocity if B then jumps off horizontally in the —t direction with a speed of 2 m/s, measured relative to the merry-go-round? Neglect friction and the size of each child.