Question
Find a relation for kinetic energy of a rolling body.
✓
Answer
Rolling means rotation and translation together. If a mass has its centre of mass translating with velocity v, the radius r and angular velocity of rotation is $\omega$ then Translation K.E. $=\frac{1}{2}\text{mv}^2,$ Rotational K.E. $=\frac{1}{2}\text{I}\omega^2$ Total K.E. $=\frac{1}{2}\text{mv}^2+\frac{1}{2}\text{I}\omega^2$
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