Question: Find the dynamic system response for the rotational mechanical system shown below. There is a constant input angular speed, (omega(t)=beta), and zero initial angular speed,

Find the dynamic system response for the rotational mechanical system shown below. There is a constant input angular speed, $\omega(t)=\beta$, and zero initial angular speed, $\omega_{1}(0)=0$ (i.e. there is no initial energy stored).

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