The pendulum consists of a thin bar of length L = 1.5 m and mass mb = 2 kg, at the end of...

The pendulum consists of a thin bar of length L = 1.5 m and mass mb = 2 kg, at the end of which is rigidly attached a uniform solid sphere of radius r = 0.25 m and mass ms = 3 kg. The pendulum is pinned at the top end O of the bar. The pendulum is initially at θ = 0 when the center of the sphere C is given a speed v1= 4 m/s to the right. The quantity d denotes the distance between O and the center of mass of the bar G. Neglect friction.

If the bar is uniform (i.e., d = L/2), determine the maximum swing angle of the pendulum.

Figure P8.27