The disc (m kg) is initially at rest, and the spring holds it in equilibrium. The disc is subsequently subjected to a couple moment, M = 30 Nm, as indicated in Figure 3. Assume the spring stiffness, k value is equivalent to the first three digits of your student matrix number (Example: matrix number of 72123, k = 721 N/m). Apply the theory of Planar Kinetics of a Rigid Body: Work and Energy to demonstrate the factors that affect its angular velocity at the instant its mass center G has moved 0.8 m down along the inclined plane. The disc rolls without slipping. Illustrate the free-body diagram and use appropriate numerical values to explain your answers.