Which expression best represents the total kinetic energy of a rigid body of mass…

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

Problem

Which expression best represents the total kinetic energy of a rigid body of mass

M

whose center of mass moves at speed

v_{\text{cm}}

while the body rotates about that center with angular speed

\omega

? (a)

\dfrac{1}{2} M v_{\text{cm}}^{2} + I \omega^{2}

(b)

\dfrac{1}{2} M v_{\text{cm}}^{2} + \dfrac{1}{2} I \omega^{2}

(c)

M v_{\text{cm}}^{2} + \dfrac{1}{2} I \omega^{2}

(d)

\dfrac{1}{2} M v_{\text{cm}}^{2}