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A box of mass M lies on a conveyor belt that follows a path given by
r(0) = ro sin 0 as shown in the figure below. The angular velocity of the conveyor belt
is a constant wo. If 0 = 0 at time t = 0, find 0(t) for any later time. Assuming the
box stays on the conveyor belt without slipping, what is the velocity of the box as a
function of time and the friction force exerted on the box as a function of time?
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