For the system shown in Figure 3, (i) derive the equation of motion using energy method; (ii)determine the damped natural frequency and damping

For the system shown in Figure 3, (i) derive the equation of motion using energy method; (ii)determine the damped natural frequency and damping ratio; (iii) state whether the system isunderdamped, overdamped or critically damped; (iv) determine θ(t) for the given initial conditions. I’ve attached the question file,