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PHYS 115, Mechanics: Problem Set 8 1] A rope is wrapped around a pulley of radius R. = [Him and moment of inertia of In
PHYS 115, Mechanics: Problem Set 8 1] A rope is wrapped around a pulley of radius R. = [Him and moment of inertia of In = 1.5 mzkg. Two masses of m] = 3kg and 1112 = 2kg are connected to the ends of the rope. 1viii-Then the masses are released from rest, ml will accelerate downwards, 1712 will accelerate upwards. and the pulley will begin to turn clockwise assuming that the rope does not slip. pulley L ml [3] Calculate the tension in the rope on each side of the pulley assuming the acceleration of the masses has a magnitude of a. Note that the tension will be different on the two sides of the pulley. [b] Evaluate a by applying 1"; = $121, with the c axis pointing into the page. Note that the angular acceleration of the pulley must he 5'" = ofR, assuming that the rope does not slip. (c) Calculate the kinetic energy of the two masses and the pulley is after the masses are released. (cl) Calculate the change in gravitational potential energy 1 s after the masses are released. (e) ISonrm that energy is conserve
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