1. A playground merry-go-round of radius R and mass 4m (treat as a solid disk) can rotatefreely 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 =0, the girl jumps tangentially off the merry-go-round with a horizontal velocity v relative tothe 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.)4mmROm(a)(b)a. Find the angular velocity of the merry-go-round after the girl jumps off in terms ofsome or all of m, R, v, and g. Specify whether it is rotating clockwise orcounterclockwise.b. Find the work done by the girl in jumping off the merry-go-round in terms of someor all of m, R, v, and g.

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