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In the figure, the cylinder and pulley turn without friction about stationary horizontal axles that pass through their centers. A light rope is wrapped around the cylinder, passes over the pulley, and has a box of mass M1 suspended from its free end. There is no slipping between the rope and the pulley surface. The uniform cylinder has a mass Mc and radius Rc and the pulley is a uniform disk of mass Mp and radius Rp. The box is released and it descends a distance d. Use conservation of energy to obtain a) The final velocity of the box b) The final angular velocity of the pulley c) The final angular velocity of the cylinder Pulley Cylinder Box
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Transcribed Image Text:In the figure, the cylinder and pulley turn without friction about stationary horizontal axles that pass through their centers. A light rope is wrapped around the cylinder, passes over the pulley, and has a box of mass M1 suspended from its free end. There is no slipping between the rope and the pulley surface. The uniform cylinder has a mass Mc and radius Rc and the pulley is a uniform disk of mass Mp and radius Rp. The box is released and it descends a distance d. Use conservation of energy to obtain a) The final velocity of the box b) The final angular velocity of the pulley c) The final angular velocity of the cylinder Pulley Cylinder Box
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