The system shown below consists of a pulley (mass m, radius r) pinned about point 0,...

Transcribed Image Text:

The system shown below consists of a pulley (mass m, radius r) pinned about point 0, which is connected to a uniform rod (mass m, length L) that is pinned about point R. The system is supported by two springs k and k, connected to points A and B, respectively. The cable connecting the pulley and rod can be considered approximately inextensible (ie. the pulley and rod are rigidly connected). Assume small oscillations. For the pulley, Jo = mr. For the uniform rod, JG = 1 mL. 12 K ww 01 A Rod with mass m R 20 Pulley with mass m 82 2L/3 L/3 ww B K2 a) (5 pts) Determine the effective stiffness of the system with respect to 02 using the stiffness approach, by setting 02 = 1. b) (5 pts) Assume that a downward force of 5 N is applied at the rod's centre of mass (point G) while the system is initially as shown above. Using your answer from part a), determine the resulting compression of spring k if r = 0.5 m, L = 3 m, and k = k = 100 N/m. The system shown below consists of a pulley (mass m, radius r) pinned about point 0, which is connected to a uniform rod (mass m, length L) that is pinned about point R. The system is supported by two springs k and k, connected to points A and B, respectively. The cable connecting the pulley and rod can be considered approximately inextensible (ie. the pulley and rod are rigidly connected). Assume small oscillations. For the pulley, Jo = mr. For the uniform rod, JG = 1 mL. 12 K ww 01 A Rod with mass m R 20 Pulley with mass m 82 2L/3 L/3 ww B K2 a) (5 pts) Determine the effective stiffness of the system with respect to 02 using the stiffness approach, by setting 02 = 1. b) (5 pts) Assume that a downward force of 5 N is applied at the rod's centre of mass (point G) while the system is initially as shown above. Using your answer from part a), determine the resulting compression of spring k if r = 0.5 m, L = 3 m, and k = k = 100 N/m.