Physics

Physics

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}

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