I implemented that method but still can't find the right solution.
Impulse = ΔP/T = 2MV/T = (2 x 0.14 x 30)/T = 8.4/T
Impulse causes the torque, so Impulse = Iα
8.4/T = 180x Δω/T
8.4/180 = Δω...
Well since the merry-go-round is initially at rest, the way I understand it is that the balls are what cause the thing to start moving, assuming that isn't the kinetic energy released by the children to throw the balls equal to the kinetic energy of the merry go round when it starts to move?
PS...
Homework Statement
Two children on opposite ends of a merry-go-round of radius 1.6 m throw baseballs at the same speed of 30 m/s but in opposite directions as shown. The mass of each baseball is 0.14 kg, and the moment of inertia of the merry-go-round and children combined is 180 kg-m^2. If...