Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_7

5/7 The drive mechanism imparts to the semicircular plate simple harmonic motion of the form \(\theta = \theta_0 \sin \omega_0 t\), where \(\theta_0\) is the amplitude of the oscillation and \(\omega_0\) 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.