Question

Instantaneous centre of a body rolling without sliding on a stationary curved surface lies.

• A. At the point of contact
• B. On the common normal at the point of contact
• C. On the common tangent at the point of contact
• D. At the centre of curvature of the stationary surface

Answer 1

The correct option is A At the point of contact

Because for rolling without sliding, the contact point has zero velocity.

POINTS TO REMEMBER

Instantaneous centre of rotation: In general, the motion of a link in a mechanism is neither pure translational nor pure rotational. It is the combination of translational and rotational which we call general motion. But for a link at any instant, it can be assumed to be in perfect rotation with respect to a point in the space known as instantaneous centre of rotation.