A uniform solid cylinder of radius is set on a horizontal surface so that its center…

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

Problem

A uniform solid cylinder of radius 0.20 m0.20\,\text{m} is set on a horizontal surface so that its center of mass moves 2.4 m/s2.4\,\text{m/s} to the right while it spins counterclockwise at 6.0 rad/s6.0\,\text{rad/s}. To have the cylinder immediately roll without slipping while keeping the same translational speed, which angular speed should be chosen? (Positive angular speed corresponds to counterclockwise rotation as viewed from the right.) (a) 12 rad/s12\,\text{rad/s} counterclockwise (b) 12 rad/s12\,\text{rad/s} clockwise (c) 6.0 rad/s6.0\,\text{rad/s} clockwise (d) 24 rad/s24\,\text{rad/s} clockwise

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