Ram says, "A body may be in pure rotation in the presence of...

Name: Problem 14, Chapter 8: Arihant AIEEE Physics
Uploaded: 2021-10-12T06:17:21-08:00
Duration: 1 min 41 s
Channel: Khoobchandra Agrawal
Description: Ram says, "A body may be in pure rotation in the presence of a single external force." Shyam says, "This is possible only for a non rigid body", then: (a) Ram's statement is correct (b) both statements are correct in different situations (c) both statements are wrong (d) both statements are stated by physicists

Ram says, "A body may be in pure rotation in the presence of a single external force." Shyam says, "This is possible only for a non rigid body", then: (a) Ram's statement is correct (b) both statements are correct in different situations (c) both statements are wrong (d) both statements are stated by physicists

Ram says, "A body may be in pure rotation in the presence of a single external force." Shyam says, "This is possible only for a non rigid body", then:
(a) Ram's statement is correct
(b) both statements are correct in different situations
(c) both statements are wrong
(d) both statements are stated by physicists

Key Concepts

Pure Rotation

Pure rotation refers to the motion in which a body rotates about an instantaneous center or fixed axis without any translational movement of that point. In this kind of motion, every part of the body follows a circular path about the center of rotation, meaning that the velocity at the center is zero at that particular instant. This concept is crucial in analyzing rotational dynamics in both constrained and unconstrained systems.

External Force

An external force is a force acting on a body from outside its system of internal forces. In dynamics, when a single external force is applied to a rigid body, it typically causes the body to experience both translational acceleration (movement of the center of mass) and rotational acceleration due to the resulting torque, unless a constraint or additional forces cancel out the translation.

Torque

Torque, or the moment of force, measures the tendency of a force to produce rotation about an axis. It is calculated as the product of the force and the perpendicular distance from the line of action of that force to the axis of rotation. For a rigid body in pure rotation, the net force must be arranged so that it produces a torque without causing translational acceleration, which is a key factor in understanding when pure rotation can occur.

Rigid vs. Non-Rigid Bodies

Rigid bodies are idealized objects in mechanics that do not deform when forces are applied, meaning that the entire body moves in a unified manner combining translation of the center of mass and rotation about it. In contrast, non-rigid (or deformable) bodies can change shape under the influence of forces, allowing complex internal interactions. This distinction affects how forces are distributed and transmitted within the body, influencing whether pure rotational motion can occur under conditions where a single external force is applied.

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