The drive mechanism imparts to the semicircular plate simple harmonic motion of the form...

The drive mechanism imparts to the semicircular plate simple harmonic motion of the form , where is the amplitude of the oscillation and is its circular frequency. Determine the amplitudes of the angular velocity and angular acceleration and state where in the motion cycle these maxima occur. Note that this motion is not that of a freely pivoted and undriven body undergoing arbitrarily large-amplitude angular motion.