1. Tardigrade
  2. Question
  3. Physics
  4. A circular disc of radius R rolls without slipping along the horizontal surface with constant velocity v0. We consider a point A on the surface of the disc. Then, the acceleration of the point A is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A circular disc of radius $R$ rolls without slipping along the horizontal surface with constant velocity $v_0$. We consider a point $A$ on the surface of the disc. Then, the acceleration of the point $A$ is

UPSEEUPSEE 2015

Solution:

The circular disc of radius $R$ rolls without slipping, and its centre of mass is $C$. $P$ is that point where the body is in contact with the surface at any instant. At this instant each particle (body) is moving at right angles to the line which joints the particle with point $P$ with velocity proportional to distance.
image
Therefore, the combined translational and rotational motion gives pure rolling and body moves with constant velocity in magnitudes as well as in direction.