Question 5 (20 marks) a Consider the mass cart SDOF system with pendulum (of length L) in Figure 5. a) Use Lagrange's equation to formulate the equations of motion. b) Linearize the equations for small angle of oscillation of the pendulum 0. c) If the spring stiffness k goes to zero, find the natural frequency of the system for small angles of oscillation. L h m1 ✗ Figure 6. A mass cart SDOF system with a pendulum m2