Using mathematical software, solve the equations of motion for the pendulum supported by a...

Using mathematical software, solve the equations of motion for the pendulum supported by a linear spring of constant k (derived in Prob. 3.50). Plot the trajectory of the mass m in the vertical plane for a number of different values of k/m. The unstretched length of the spring is 0.25 m, and the mass is released when the pendulum is vertical, the spring is stretched 0.75 m, and the mass is moving to the right at 1 m/s.

Figure P3.51