A solid sphere of mass and radius starts from rest and rolls without slipping down a ramp

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

Problem

A solid sphere of mass

2.0\,\text{kg}

and radius

0.15\,\text{m}

starts from rest and rolls without slipping down a ramp, dropping through a vertical height of

1.2\,\text{m}

. What is the sphere’s angular speed

\omega

when it reaches the bottom of the ramp? (a)

34\,\text{rad}\!/\!\text{s}

(b)

46\,\text{rad}\!/\!\text{s}

(c)

30\,\text{rad}\!/\!\text{s}

(d)

23\,\text{rad}\!/\!\text{s}