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A load of mass m = 100 kg is lifted using a double block (two blocks of different radii on the same axis are rigidly fastened to each other) with a force F = 500 N, directed at an arbitrary angle to the vertical (Fig.). The axis of the block rotates in a bearing on a bracket attached to the wall. Find the acceleration of the load if the radii of the blocks are r = 10 cm and R = 25 cm. (The thread of the load is wound on the surface of the smaller block.) Neglect the mass of the block and threads, as well as friction in the axis of the block.
Detailed solution. Format gif
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