Question

Considering a body of mass $m$, radius $R$ rotating with angular speed $\omega$ about the centre of mass and with a velocity $v$ of centre of mass, the most appropriate definition of rolling motion will be

• A. $v=R\omega$
• B. The point of contact is stationary
• C. The point of contact is stationary with respect to the surface
• D. The body purely rotates about the point of contact.

Answer 1

The correct option is C The point of contact is stationary with respect to the surface

For rolling motion, the velocity of the point of contact is zero with respect to the surface. $v=R\omega$ can be in other cases as well. So, velocity of point of contact is zero with respect to surface defines most appropriate the rolling motion.