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Physics - Rotation Question with Solution | TestHub

PhysicsRotationTorque / angular accelerationEasy2 minQB

PhysicsEasysingle choice

A block of mass $m$ is attached to one end of a light string which is wrapped on a disc of mass $2 m$ and radius $R$ . The total length of the slack portion of the string is $l$ . The block is released from rest. The angular velocity of the disc just after the string becomes taut is

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Answer:

Solution:

Using the principle of conservation of angular momentum,

$m \sqrt{2 gl} \times R = [\frac{(2 m) R^{2}}{2} + {mR}^{2}] \times ω$

$\Rightarrow ω = \sqrt{\frac{gl}{2 R^{2}}}$

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Torque / angular acceleration

⏱ 2mℹ️ Source: QB

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