Which expression gives the total kinetic energy of a rigid object of mass

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

Problem

Which expression gives the total kinetic energy

K_{\text{tot}}

of a rigid object of mass

M

, moment of inertia

I

, translational speed

v

, and angular speed

\omega

when it rolls without slipping? (a)

K_{\text{tot}} = \dfrac{1}{2} M \omega^{2}+\dfrac{1}{2} I v^{2}

(b)

K_{\text{tot}} = M v^{2}+ I \omega^{2}

(c)

K_{\text{tot}} = \dfrac{1}{2} M v^{2}+\dfrac{1}{2} I \omega^{2}

(d)

K_{\text{tot}} = \dfrac{1}{2} M v^{2}