Rolling on Frictionless Plane – Rankers Physics

Rolling: Practice Problem & Solution

Assertion (A): A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling). Reason (R): For pure rolling, work done against frictional force is zero.  
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Rolling. Understanding the underlying formula is key to arriving at the correct answer below:

Assertion (A) is true; friction provides the torque for rolling. Without friction, the wheel slips. Reason (R) is true; in pure rolling, the contact point is stationary, so static friction does no work. However, (R) does not explain (A).

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