For a rigid body of total mass whose center of mass moves with speed while it…

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

Problem

For a rigid body of total mass

M

whose center of mass moves with speed

v_{\text{cm}}

while it simultaneously rotates about an axis through the center of mass with angular speed

\omega

, which expression gives its total kinetic energy

K

? (a)

K = \tfrac{1}{2} M v_{\text{cm}}^{2} + I_{\text{cm}} \omega^{2}

(b)

K = \tfrac{1}{2} M v_{\text{cm}}^{2}

(c)

K = \tfrac{1}{2} M v_{\text{cm}}^{2} + \tfrac{1}{2} I_{\text{cm}} \omega^{2}

(d)

K = \tfrac{1}{2} I_{\text{cm}} \omega^{2}