Figure P7.24 shows a simple 1-DOF, frictionless, rotational mechanical system. The disk moment of inertia s/-0.2 kg-m2 and the torsional spring constant for the shaft is k-100N-m/rad. Angular displacement 0 is zero when the shaft is untwisted. The disk is initially at rest (equilibrium) when the sinusoidal input torque Tin (t) = 0.5 sin 31 N-m is applied. Torque, Tm) Flexible shaft, k Disk, J Figure P7.24 a. Determine the general form for the complete response ?(t) (you do not have to compute the exact solution with numerical values for the coefficients) b. Use MATLAB or Simulink to obtain a numerical solution and plot ?(t) (use a simulation time of 10 s). Does the numerical solution match the general form of the analytical solution from part (a)? Explain your answer. Figure P7.24 shows a simple 1-DOF, frictionless, rotational mechanical system. The disk moment of inertia s/-0.2 kg-m2 and the torsional spring constant for the shaft is k-100N-m/rad. Angular displacement 0 is zero when the shaft is untwisted. The disk is initially at rest (equilibrium) when the sinusoidal input torque Tin (t) = 0.5 sin 31 N-m is applied. Torque, Tm) Flexible shaft, k Disk, J Figure P7.24 a. Determine the general form for the complete response ?(t) (you do not have to compute the exact solution with numerical values for the coefficients) b. Use MATLAB or Simulink to obtain a numerical solution and plot ?(t) (use a simulation time of 10 s). Does the numerical solution match the general form of the analytical solution from part (a)? Explain your