1)A rotary system is shown in Figure below and its parameter values are given in Table 1. A step input torque, T = 50Nm is applied at t = 0 sec. The system output is the displacement of the inertia, 0. Part 1: 1.Calculate the steady-state gain, the damping coefficient, and the natural frequency of the system. 2.How would you change one of the parameter values to give a damping coefficient, < = 1.0 if the natural frequency remains unchanged? 3.The rotary system forms the basis of a flywheel energy storage system. In order to eliminate a troublesome resonance from the Torque, T Inertia, J Shaft Stiffness, k Viscous damping, C k 1000 Nm/rad с 100 Nm/rad/sec J 40 kg m Table 1 Displacement, e Velocity, w Acceleration, a system the natural frequency has to be increased to 20 rad/s and the damping coefficient has to increase to 0.5. How might the required values of natural frequency and damping coefficient be obtained?