Two children A and B, each having a mass of 30 kg, sit at the edge of the merry-go-round which is rotating at ω = 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 with respect 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 with respect to the merry-go-round? Neglect friction and the size of each child.

Transcribed Image Text:

b 0.75 m n w = 2 rad/s N 0.75 m- n b B