Walking on a merry-go-round a child of mass m stands at rest near the rim of a stationary merry-go-round of radius r and moment of inertia i. the child now begins to walk around the circumference of the merry-go-round with a tangential speed vwith respect to the merry-go-round's surface.

part a

what is the child's speed with respect to the ground?

express your answer in terms of some or all of the variables m, r, i, and v.

part b

check your result in the limits i→0.

express your answer in terms of some or all of the variables m, r, i, and v.

part c

check your result in the limits i→[infinity].

express your answer in terms of some or all of the variables m, r, i, and v.