A solid cylinder of mass and radius is given an initial push so that its center of…

PHYSICS · Subjective · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A solid cylinder of mass

2.5\,\text{kg}

and radius

0.10\,\text{m}

is given an initial push so that its center of mass is moving at

1.2\,\text{m/s}

just as it begins to roll without slipping down a

1.5\,\text{m}

high incline. Determine the cylinder’s linear speed at the bottom of the incline. (Moment of inertia of a solid cylinder:

I=\tfrac12 MR^{2}