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Boxes A and B are at rest on a conveyor belt that is initially at rest. The belt is suddenly started in an upward direction so that slipping occurs between the belt and the boxes. Knowing that the coefficients of kinetic friction between the belt and the boxes are
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Chapter 12 Solutions
Vector Mechanics For Engineers
- To unload a bound stack of plywood from a truck, the driver first tilts the bed of the truck and then accelerates from rest. Knowing that the coefficients of friction between the bottom sheet of plywood and the bed are μs= 0.40 and μk= 0.30, determine (a) the smallest acceleration of the truck which will cause the stack of plywood to slide, (b) the acceleration of the truck which causes corner A of the stack to reach the end of the bed in 0.9 s.arrow_forward2- The two blocks shown are originally at rest. Neglecting the masses of the pulleys and the effect of friction in the pulleys and assuming that the coefficients of friction between block A and the horizontal surface are µz = 0.25 and u = 0.20, determine (a) the acceleration of each block, (b) the tension in the cable.arrow_forwardProblem 2 Block A has a mass of 50 kg, and block B has a mass of 15 kg. They are stacked, connected by a cable running through frictionless pulleys, and positioned on a slope of 0 = 20'. The coefficient of kinetic friction between all surfaces of contact is µx = 0.35. The applied force is P = 65 N. Assume the force is sufficient for the blocks to start moving. B. Determine (a) the acceleration of block B, (b) the tension in the cord.arrow_forward
- A 10-lb bock is resting on an inclined surface at an angle of 30°, as shown. The block is in contact with a compressed spring that has a modulus of 75lb/in. The spring has an initial compression of 6 inches that is released by cutting the restraining cords. If the coefficient of kinetic friction between the inclined surface and the block is 0.15, determine the speed of the block as it leaves the spring. Position B L. Position A Position C 6 in, Restraining cords ww. H = 0.15 k = 75 lb/in 30°arrow_forwardThe system shown is at rest when a constant 250-N force is applied to block A . Neglecting the masses of the pulleys and the effect of friction in the pulleys and assuming that the coefficients of friction between block A and the horizontal surface are μs = 0.25 and μk = 0.20, determine (a) the velocity of block B after block A has moved 2 m, (b) the tension in the cable.arrow_forwardProblem 1. A 35-lb block slides down a 20° inclined plane with an initial velocity of 3 ft/s. Determine the velocity of the block in 4 seconds if the coefficient of kinetic friction between the block and the plane is 0.29.arrow_forward
- 3- To unload a bound stack of plywood from a truck, the driver first tilts the bed of the truck and then accelerates from rest. Knowing that the coefficients of friction between the bottom sheet of plywood and the bed are us = 0.40 and u = 0.30, determine (a) the smallest acceleration of the truck which will cause the stack of plywood to slide, (b) the acceleration of the truck which causes corner A of the stack to reach the end of the bed in 0.9 s. 40 20 00arrow_forwardBlock A has a mass of 50 kg, and block B has a mass of 15 kg. They are stacked, connected by a cable running through frictionless pulleys, and positioned on a slope of 0 30°. The coefficient of kinetic friction between all surfaces of contact is k 0.25. The applied force is P = 75 N. Assume the force is sufficient for the blocks to start moving. Determine (a) the acceleration of block B, (b) the tension in the cord. 0 A B Parrow_forward3. A small block B fits inside a lot cut in arm OA which rotates in a vertical plane at a constant rate. The block remains in contact with the end of the slot closest to A and its speed is 1.4 m/s for 0< 0 <150°. Knowing that the block begins to slide when 0 = 150°, determine the coefficient of static friction between the block and the slot. V = 0.3 m Aarrow_forward
- A car of mass 700 kg travels round a horizontal curve of 60 m radius. The centre of gravity of the car is 1.25 m above the ground and the distance between the wheels is 1.7 m. If the limiting coefficient of friction between the tyres and the road is 0.6 determine, with reason, whether the vehicle will skid or overturn when rounding the bend at speed. Hence state the maximum permissible speed to navigate the curve safely.arrow_forwardA 300-g block is released from rest after a spring of constant k= 600 N/m has been compressed 160 mm. Determine the force exerted by the loop ABCD on the block as the block passes through (a) point A, (b) Point B, (c) . Assume no friction.arrow_forward2. In the system of connected bodies. 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 supporting A.arrow_forward
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