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. A sled containing several bags of grain is being pulled up an effectively frictionless ramp...

. A sled containing several bags of grain is being pulled up an effectively frictionless ramp inclined at a 25◦ angle. A rope is tied to the sled at one end, slung over a pulley, and tied to a 60 kg counterweight on the other end, as shown in the figure below. The pulley is essentially a solid cylinder of mass 35 kg and radius 50 cm. The total mass of the sled and the grain bags is 80 kg. Find the acceleration of the sled up the ramp. (Hint: In the past, when we assumed pulleys were massless, we would generally assume that the tension in a rope was the same on both sides of a pulley. Now that we are dealing with a massive pulley, we can no longer make that assumption. In fact, in this case, the tension in the rope is different on either side of the pulley.)

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