Physics - Rotation Question with Solution | TestHub

PhysicsRotationRotational KinematicsHard2 minPYQ_2017

PhysicsHardsingle choice

A uniform disc of radius $R$ and mass $M$ is free to rotate only about its axis. A string is wrapped over its rim and a body of mass $m$ is tied to the free end of the string as shown in the figure. The body is released from rest. Then the acceleration of the body is:

Options:

Answer:

Solution:

$m g - T = m a$

$R T = I α$

$R T = \frac{M R^{2}}{2} . \frac{a}{R}$

$T = \frac{M a}{2}$

$m g - \frac{M a}{2} = m a$

$m g = a (\frac{M}{2} + m)$

$m g = a (\frac{M + 2 m}{2})$

$a = \frac{2 m g}{M + 2 m}$

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Rotational Kinematics

⏱ 2mℹ️ Source: PYQ_2017

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