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Consider a pulley system of the type shown in the figure above. Suppose that the upper pulley has no mass and the lower two pulleys have a total mass of 7.7 kg; the block attached to the lower pulleys represents a car engine of mass 115 kg. a) What is the tension T in the rope? Assume that all sloped segments of the rope are vertical. N b) What force does the ceiling exert on the upper pulley, assuming you pull straight up on the rope? N If you do not answer this question correctly in 3 attempts, you can get a hint.

Consider a pulley system of the type shown in the figure above. Suppose that the upper pulley has no mass and the lower two pulleys have a total mass of 7.7 kg; the block attached to the lower pulleys represents a car engine of mass 115 kg. a) What is the tension T in the rope? Assume that all sloped segments of the rope are vertical. N b) What force does the ceiling exert on the upper pulley, assuming you pull straight up on the rope? N If you do not answer this question correctly in 3 attempts, you can get a hint.

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If you do not answer this question correctly in 3 attempts, you can get a hint. Consider a pulley system of the type shown in the figure above. Suppose that the upper pulley has no mass and the lower two pulleys have a total mass of 7.7 k g ; the block attached to the lower pulleys represents a car engine of mass 115 k g . a) What is the tension T in the rope? Assume that all sloped segments of the rope are vertical. ◻ N b) What force does the ceiling exert on the upper pulley, assuming you pull straight up on the rope? ◻ N

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A hanging weight, with a mass of m1 = 0.360 kg, is attached by a string to a block with mass m2 = 0.850 kg as shown in the figure below. The string goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is μk = 0.250. At the instant shown, the block is moving with a velocity of vi = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the string does not stretch and does not slip on the pulley, and that the mass of the string is negligible. (a) Using energy methods, find the speed of the block (in m/s ) after it has moved a distance of 0.700 m away from the initial position shown. m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance? rad/s

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A hanging weight, with a mass of m1 = 0.360 kg, is attached by a cord to a block with mass m2 = 0.850 kg as shown in the figure below. The cord goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is μk = 0.250. At the instant shown, the block is moving with a velocity of vi = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the cord does not stretch and does not slip on the pulley, and that the mass of the cord is negligible. (a) Using energy methods, find the speed of the block (in m/s ) after it has moved a distance of 0.700 m away from the initial position shown. m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance? rad/s
Solution
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