Two identical homogeneous 30-pound cylinders are connected with a cable. Calculate the tension in the cable an instant after the cylinders have been released from rest in the position shown in Fig. Assume that friction allows the cylinders to roll without sliding and neglect the weight of the small pulley. 2ft 30 lb 2ft 30 lb B 45°

The uniform cylinder has a mass of 30.0kg and is rotating about a horizontal axis through O at 1200 rpm. The coefficient of kinetic friction between the cylinders and braking levers is 0.200. If the spring tension is 100 N, calculate the time required for the cylinder to stop spinning.

A heavy cabinet with a mass of 135kg is transported on the truck platform. Assume that the friction between the cabinet and the platform is so great that the cabinet cannot slip, but can instead tip over. The dimensions shown in the cabinet figure are hG = 1.8m, xG = 1.0m and b = 3.4m. How high can the maximum acceleration of the truck to the right be without the cabinet tipping over? What is the angular acceleration of the cabinet in the situation under consideration

Fial I The figure shows a body consist of two segments which are a rod AB and a disk with weights of 4-lb and 11-lb respectively. The body is attched with a spring. The roller 1 ft k = 8 lb/ft Datum at C allows the spring to remain vertical as the rod falls. B A The length of the unstretched spring is 0.85 ft. If the body is released from rest and rotates CW about point B, 1 ft 3 ft determine the following: (Assume the datum at point B) 0.25 ft 1. The potential energy of the spring when the body is horizontal. 2. The potential energy due to gravity when the body is horizontal. 3. The potential energy of the spring when the body is vertical. 4. The potential energy due to gravity when the body is vertical. 5. The angular velocity at the instant the body becomes vertical.