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A merry-go-round has a small box placed on it at a distance R' from its axis of
rotation. Initially (at time = 0), the merry-go-round is stationary. At time t = 0.0, a
constant torque of 6 Nm is applied to it, causing it to start rotating. As the merry-
go-round spins faster, a point comes when the small box slides off of it. Given the
following data, calculate the time after it starts spinning, that the box will slip off
the disk. Assume that the merry-go-round is a solid disc. Write your answer in
seconds.
Mass of the merry-go-round (disk) = 30 kg.
Radius of the merry-go-round = 3.1 m
Distance from the axis where the box is placed = R = 1.4 m
Coefficient of friction between merry-go-round and box: Static = 0.5, kinetic
