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Physics - Rotation Question with Solution | TestHub

PhysicsRotationRotational KinematicsEasy2 minPYQ_2020

PhysicsEasysingle choice

A rigid body is made of three identical thin rods, each of length L fastened together in the form of letter H. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of the H. The body is allowed to fall from rest from a position in which the plane of H is horizontal. What is the angular speed of the body when the plane of H is vertical ?

Options:

Answer:

Solution:

$I = 0 + [\frac{M L^{2}}{12} + M {(\frac{L}{2})}^{2}] + [0 + M L^{2}] = \frac{4}{3} M L^{2}$

( using parallel axis theorem )

$∵ \frac{1}{2} I ω^{2} = m g h_{c m}$

$∴ \frac{1}{2} (\frac{4}{3} M L^{2}) ω^{2} = 3 M g (\frac{L}{2})$

$\Rightarrow ω = \frac{3}{2} \sqrt{\frac{g}{L}}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:RotationSubtopic:Rotational Kinematics

⏱ 2mℹ️ Source: PYQ_2020

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