# Determine the acceleration of the bodies if the

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and B weighs 100 lb. Determine the acceleration of the bodies if the coefficient of kinetic friction is 0.10 between the cable and the fixed drum. 11. Two bodies A and B are separated by a spring. Their motion down the incline is resisted by a force P = 200 lb. The coefficient of kinetic friction is 0.30 under A and 0.10 under B. Determine the force in the spring. 12. If the pulleys shown are weightless and frictionless, find the acceleration of body A.
413. Determine the acceleration of body B shown, assuming the pulleys to be weightless and frictionless. 14. The coefficient of kinetic friction under block A is 0.30 and under block B it is 0.20. Find the acceleration of the system and the tension in each cord. 15. 1068. Determine the magnitude of W so that the 200-lb body will have acceleration up the plane of 4.025 ft per sec2. 16. Compute the acceleration of body B and the tension in the cord supporting body A. 17. Compute the acceleration of body B and the tension in the cord attached to it. 18. Compute the time required for the 100-lb body to move 10 ft starting from rest. 19. If the pulleys are weightless and frictionless, determine the acceleration of each weight in fps2. 20. Determine the acceleration of each weight shown, assuming the pulleys to be weightless and frictionless. 21. Determine the tension in the cord supporting body C. The pulleys are frictionless and of negligible weight.
522. In the system of connected blocks shown, the coefficient of kinetic friction is 0.20 under bodies B and C. Determine the acceleration of each body and the tension in the cord. 23. Repeat Prob. 22, but change the weight of A to 600 lb, of B to 1000 lb and of C to 500 lb. 24. Two blocks A and B, each weighing 96.6 lb and connected by a rigid bar of negligible weight, move along the smooth surfaces shown. They start from rest at the given position. Determine the acceleration of B at this instant. 1. A juggler places the lower end of a vertical rod upon his finger. As it starts to tip, explain how he keeps the rod in balance by moving his finger horizontally back and forth. 2. The cable of a cargo crane can support a maximum load of 2 tons. While the crane is lowering a 1610-lb weight at uniform speed, the brake on the winch is applied too rapidly, thereby causing a sudden deceleration of the weight equal to 100 fps2. The cable snaps and the weight falls, badly injuring a workman. For the purpose of establishing liability in this accident, is it likely that failure of the cable was due to its being weaker than its test strength of 2 tons? Why? 3. A uniform box is 2 ft square and 6ft high. It stands on end upon a truck with its sides parallel to the truck’s motion. If the box weighs 240 lb and the coefficient of friction between the box and the truck is 0.30, show whether the block will slide or tip first as the acceleration of the truck is increased. Kinetics of Rectilinear Motion, Analysis as a Rigid Body
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