Question

Assertion: The work done by friction force on a rigid body which is in pure rolling without slipping must be zero. Reason: Instantaneous velocity of point of contact with respect to the surface is zero in pure rolling. (A) $\mathrm{A}$ (B) $\mathrm{B}$ (C) $\mathrm{C}$ (D) D

Name: Problem 46, Chapter 6: A Complete Resource Book in Physics for JEE Main
Uploaded: 2021-10-18T14:05:47-08:00
Duration: 1 min 22 s
Channel: Ankur S
Description: Assertion: The work done by friction force on a rigid body which is in pure rolling without slipping must be zero. Reason: Instantaneous velocity of point of contact with respect to the surface is zero in pure rolling. (A) A (B) B (C) C (D) D

   Assertion: The work done by friction force on a rigid body which is in pure rolling without slipping must be zero.

Reason: Instantaneous velocity of point of contact with respect to the surface is zero in pure rolling.
(A) $\mathrm{A}$
(B) $\mathrm{B}$
(C) $\mathrm{C}$
(D) D

A Complete Resource Book in Physics for JEE Main

Sanjeev Kumar 1st Edition

Chapter 6, Problem 46

Instant Answer

Solved by Expert Ankur S

10/18/2021

Step 1

Step 1: The work done by a force is given by the formula $W = F \cdot d \cdot \cos(\theta)$, where $F$ is the force, $d$ is the displacement, and $\theta$ is the angle between the force and the displacement. Show more…

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Assertion: The work done by friction force on a rigid body which is in pure rolling without slipping must be zero. Reason: Instantaneous velocity of point of contact with respect to the surface is zero in pure rolling. (A) $\mathrm{A}$ (B) $\mathrm{B}$ (C) $\mathrm{C}$ (D) D

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Key Concepts

Pure Rolling Motion

Pure rolling motion is a type of movement where an object rotates while its point of contact with the surface remains momentarily at rest. This condition, often expressed as v = R?, is crucial for ensuring that no slipping occurs between the rolling object and the surface.

Static Friction

Static friction is the force that prevents relative motion between surfaces in contact. In the case of pure rolling, although static friction may be necessary to initiate or maintain motion, it does no work because the point of contact does not move relative to the surface.

Work and Displacement

Work is defined as the product of the force applied and the displacement in the direction of that force. Since the point of contact in pure rolling does not have any displacement relative to the surface, the static friction does no work despite being present.

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