A light string is wrapped around a uniform solid cylinder of mass and radius that…

PHYSICS · Single correct · A Level · Physics · Engineering physics · Engineering physics

Problem

A light string is wrapped around a uniform solid cylinder of mass 2.0 kg2.0\,\text{kg} and radius 0.10 m0.10\,\text{m} that rests on a horizontal table. The string passes over a frictionless pulley and is attached to a 1.0 kg1.0\,\text{kg} block hanging vertically. The table is rough enough so the cylinder rolls without slipping when the block is released. What is the magnitude of the block’s acceleration? (a) 3.9 m/s23.9\,\text{m/s}^2 (b) 5.6 m/s25.6\,\text{m/s}^2 (c) 4.9 m/s24.9\,\text{m/s}^2 (d) 2.5 m/s22.5\,\text{m/s}^2

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