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