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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_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_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_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
- 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 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- 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_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_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_forwardIn the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of kinetic friction uk =0.10 between the collar and the shaft, and is acted upon by a force P with a magnitude of P = 250N at an angle 0 = 30 as shown. Knowing that the assembly is initially at rest, what is the time when the velocity of collar B reaches to 3 m/s? Also, at this instant, find the tensile force in the cord and the velocity of block A.arrow_forward
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