. A playground merry-go-round of radius R and mass 4m (treat as a solid disk) freely about its center axle, but is initially at rest. A boy and a girl, each of mass m, stand on opposite edges of the merry-go-round as shown below in figure (a). At time t = O, the girl jumps tangentially off the merry-go-round with a horizontal velocity v relative to the ground, as shown in figure (b), while the boy clings tightly to the merry-go-round. (A solid disk of mass M and radius R has moment of inertia (1/2)MR² about its center.) 4m m R 'm (a) (b) a. Find the angular velocity of the merry-go-round after the girl jumps off in terms of some or all of m, R, v, and g. Specify whether it is rotating clockwise or counterclockwise. b. Find the work done by the girl in jumping off the merry-go-round in terms of some or all of m, R, v, and g.

. A playground merry-go-round of radius R and mass 4m (treat as a solid disk) freely about its center axle, but is initially at rest. A boy and a girl, each of mass m, stand on opposite edges of the merry-go-round as shown below in figure (a). At time t = O, the girl jumps tangentially off the merry-go-round with a horizontal velocity v relative to the ground, as shown in figure (b), while the boy clings tightly to the merry-go-round. (A solid disk of mass M and radius R has moment of inertia (1/2)MR² about its center.) 4m m R 'm (a) (b) a. Find the angular velocity of the merry-go-round after the girl jumps off in terms of some or all of m, R, v, and g. Specify whether it is rotating clockwise or counterclockwise. b. Find the work done by the girl in jumping off the merry-go-round in terms of some or all of m, R, v, and g.