Figure shows a disk with moment of inertia J=0.5 kg-m2 that is initially rotating at an angular velocity do - 40 rad's. A flexible shaft with torsional spring constant k- 65 N-m/rad connected to the disk. The disk is subjected to friction, which is modeled by linear viscous friction torque b, with frietion coefficient b- 1.0 N-m-s'rad. The input torque in the clockwise direction is a step function Tin(t) -3.0U(t) N-m. Flexible shat. Vincous friction, Disk PART D (14 points) h) (5 points) Assume the mass m has an initial velocity of 1.0 ms and z(0)-0.03m. Use Laplace transform methods to obtain the zt) of the mechanical system. D(3 points) Determine the solution for velocity v(). D0 pointo) Use the final value-theorem to compute steady-state position of the mass. k) (3 pointo) Solve part th) for zero initial conditions. pls get detailed solution