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does a pulley use a rope and a wheel with a groove in the rim
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Yes. A simple pulley consists of a wheel (called a sheave) with a groove around its rim and a rope, cable or belt that runs in that groove. The groove keeps the rope from slipping off. Pulleys are used to change the direction of a force and, when arranged in combinations (movable pulleys, block-and-tackle), to provide mechanical advantage so less input force lifts a load. Modern systems may use cables, belts or chains and bearings in the axle to reduce friction.
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