A 400 lb uniform disk with center G and radius r = 3 ft is connected by a pulley system to...

A 400 lb uniform disk with center G and radius r = 3 ft is connected by a pulley system to a counterweight A weighing 75 lb. The system is initially at rest when A is allowed to drop, thus causing the disk to roll without slipping to the right.

Neglect the inertia of pulley B and the cord, but model pulley C as a uniform disk with radius rC = 0.8 ft and weight WC = 50 lb. Assuming the cord does not slip relative to pulley C, determine the speed of G after A has dropped 2 ft.

Figure P8.37