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

Short Solution (Best for NEET):

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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