For a rigid body of mass and moment of inertia that is rolling without slipping with…

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

Problem

For a rigid body of mass

M

and moment of inertia

I

that is rolling without slipping with translational speed

v

and angular speed

\omega

, which expression gives its total kinetic energy

K_{\text{tot}}

? (a)

\tfrac12 M v^2 + I\omega^2

(b)

\tfrac12 M v^2+\tfrac12 I\omega^2

(c)

\tfrac12 I\omega^2

(d)

\tfrac12 M v^2