A block hangs from a light cord wrapped around a uniform solid cylinder of mass and radius

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A 2.0 kg2.0\,\text{kg} block hangs from a light cord wrapped around a uniform solid cylinder of mass 4.0 kg4.0\,\text{kg} and radius 0.25 m0.25\,\text{m}. The cylinder is free to rotate about its fixed horizontal axle. If the block is released from rest, what is the magnitude of its downward linear acceleration? Assume the cord does not slip. (a) 9.8 m s−29.8\,\text{m s}^{-2} (b) 3.3 m s−23.3\,\text{m s}^{-2} (c) 4.9 m s−24.9\,\text{m s}^{-2} (d) 6.5 m s−26.5\,\text{m s}^{-2}

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