The uniform sphere B, of radius r = 6 cm and mass mB = 5 kg, is rigidly attached to the un...

The uniform sphere B, of radius r = 6 cm and mass mB = 5 kg, is rigidly attached to the uniform thin bar AB, which is pinned at A and has a mass mAB = 8 kg. The system rotates in the vertical plane. The spring CD has stiffness k = 2000 N/m and is designed so that the system is in static equilibrium when θ = 0°. Let L = 18.2 cm and h = 24.6 cm.

If the system is released from rest when θ = −30°, determine the maximum angle θ reached by the arm AB.

Figure P8.33