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Physics - Rotation Question with Solution | TestHub

PhysicsRotationRotational KinematicsEasy2 minPYQ_2021

PhysicsEasysingle choice

Two identical particles each of mass ' $m$ ' are separated by a distance ' $d$ '. The axis of rotation passes through the midpoint of ' $d$ ' and is perpendicular to the length $d$ . If ' $K$ ' is the average rotational kinetic energy of the system, then the angular frequency is

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Solution:

Moment of inertia $I = 2 m (\frac{d}{2})^{2} = \frac{md ^{2}}{2}$ Kinetic energy $K = \frac{1}{2} I ω^{2}$ $∴ ω^{2} = \frac{2 K}{I} = 2 K \cdot \frac{2}{md ^{2}} = \frac{4 K}{md ^{2}} ∴ ω = \frac{2}{d} \frac{k}{m}$

Stream:MHT_CETSubject:PhysicsTopic:RotationSubtopic:Rotational Kinematics

⏱ 2mℹ️ Source: PYQ_2021

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