A periodic torque with a maximum value of \(1.0 \mathrm{~N}-\mathrm{m}\) at a frequency of \(5.0 \mathrm{rad} / \mathrm{s}\) is applied to a flywheel suspended from a wire. The flywheel has a moment of inertia of \(0.10 \mathrm{~kg}-\mathrm{m}^{2}\) and the wire has a stiffness of \(1 \mathrm{~N}-\mathrm{m} / \mathrm{rad}\). A viscous component applies a damping couple of \(0.5 \mathrm{~N}-\mathrm{m}\) at an angular velocity of \(1 \mathrm{rad} / \mathrm{s}\). Calculate

(a) the amplitude of the angular displacement from the rest position during the steady-state response, and

(b) the amplitude of the moment applied to the viscous component during the steady-state response.