Frictional Force in Non-Uniform Circular Motion – Rankers Physics
Topic: Circular Motion
Subtopic: Dynamics of Circular Motion

Frictional Force in Non-Uniform Circular Motion

Assertion (A): A cyclist is cycling on a rough horizontal circular track with increasing speed. Then the net frictional force on cycle is always directed towards centre of the circular track.
Reason (R): For a particle moving in a circle, component of its acceleration towards centre, that is, centripetal acceleration should exist (except when speed is zero instantaneously).
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Increasing speed implies both tangential and centripetal acceleration. The net frictional force must provide both components, hence it's not purely towards the center. So (A) is false. Centripetal acceleration \(v^2/R\) exists whenever \(v neq 0\). So (R) is true. Given (A) is false, options (1), (2), (3) are incorrect. Option (4) is chosen, implying (R) is also considered false for this context.

Leave a Reply

Your email address will not be published. Required fields are marked *