If the pulleys are weightless and frictionless, determine the acceleration of each block.
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- In the figure here three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction on its axle and negligible mass. The masses are ma = 27 kg, mg = 41 kg, and mc = 15 kg. When the assembly is released from rest, (a) what is the tension in the cord connecting B and C, and (b) how far does A move in the first 0.200 s (assuming it does not reach the pulley)? Assume the table surface frictionless. A В C (a) Number i Unit (b) Number i Unit >A system comprised blocks, a light frictionless pulley, and connecting ropes is shown in the figure. The B block has a mass of 9.3 kg and is on a perfectly smooth horizontal table. The surfaces of the A block, which has a mass of 8.2 kg, are rough, with uk = 0.25 between the block and the table. If the C block with mass 9.9 kg accelerates downward when it is released, find its acceleration. A В C.A system comprised blocks, a light frictionless pulley, and connecting ropes is shown in the figure. The B block has a mass of 9.3 kg and is on a perfectly smooth horizontal table. The surfaces of the A block, which has a mass of 8.2 kg, are rough, with μk=μk= 0.25 between the block and the table. If the C block with mass 9.9 kg accelerates downward when it is released, find its acceleration.
- A bridge crossing a ravine has mass Mb and length L. The bridge is supported by pilings at points A and B at the right and left ends. A truck of mass mt stops at the point L/3 from point B. Find expressions for Fa and Fb, the forces supporting the bridge at each end.(c) Determine the tensions in the string on both sides of the pulley.Two boxes are stacked as shown in the diagram below. The bottom box has a mass of 3.5 kg and the top box has amass of 1.5 kg. They are pushed up a ramp inclined at 15° by an applied force of 25 N, applied to the lower boxand directed parallel to the ramp. The coefficient of kinetic friction between the ramp and the bottom box is 0.12.Determine the minimum coefficient of static friction required to keep the top box in place on the bottom box.
- A metal weight of mass 15 kg rests on a smooth (that is, frictionless) icy slope that makes an angle of 25° with the horizontal. It is attached to a rope that passes over a pulley at the top of the slope. The other end of the rope is attached to a crate of mass 12 kg that rests on a rough horizontal plank but irov odi is on the point of slipping along the plank. The coefficient of static friction between the crate and the plank is μ. metal weight 25° anolaups Tisda daiw alodasqyd sdt crate sib baa inol aino risa en't lo molisa planka) inabeup M etaduraszoq oda la coulev er no icy slope pulley inson oris 0-8-8-8 + f +vs otros sistensgeb-non pinos lo og oft sai toy, to todensee sobivora bm amizM sulau piuco Model the metal weight and the crate as particles, the rope as a model string ibal and the pulley as a model pulley. Let g denote the magnitude of the acceleration due to gravity (in ms-2). Moisteos ada obulord nov taifs oua sizsin OJ h (a) (i) State the three forces that act on the…A large crate is supported on wheels. The wheels can be locked into position to prevent rotation. The weight of the crate is 150 lb and the coefficient of static friction between the floor and the crate wheels is 0.35. A force P is applied as shown to move the crate to the right. If all the wheels are locked to prevent rotation, determine: a) The magnitude of force P required to move the crate to the right b) The largest value of height h to prevent the crate from tipping over. P A a -30%Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the door. One child pushes with a force of 12.5 N at a distance of 0.750 m from the hinges, and the second child pushes at a distance of 0.550 m. What force must the second child exert to keep the door from moving? (assume friction is negligible)
- Find the mass m of the counterweight needed to balance a truck with mass M = 1 500 kg on an incline of θ = 45° (as shown). Assume both pulleys are frictionless and massless.Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the door. One child pushes with a force of 185 N at a distance of 0.600 m from the hinges, and the second pushes at a distance of 0.400 m. What force (in N) must the second exert to keep the door from moving? Assume friction is negligible.A uniform plank of length 2.00 m and mass 27.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below in each rope when a 725-N person is d = 0.500 m from the left end. magnitude of T, N magnitude of T, N magnitude of T, N 40.0° -2.00 m