A damped torsional system is composed of a shaft and a rotor (disk). The torsional stiffness and the torsional damping constant of the shaft are given by \(k_{t}=6000 \mathrm{~N}-\mathrm{m} / \mathrm{rad}\) and \(c_{t}=100 \mathrm{~N}-\mathrm{m}-\mathrm{s} / \mathrm{rad}\). The mass moment of inertia of the rotor is \(J_{0}=5 \mathrm{~kg}-\mathrm{m}^{2}\). The rotor is subjected to a harmonically varying torque of magnitude \(M_{t}=500 \mathrm{~N}-\mathrm{m}\), which results in a steady-state angular displacement of \(5^{\circ}\). Find the frequency of the harmonically varying torque applied to the rotor and the maximum torque transmitted to the base or support of the system.