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Physics - Rotation Question with Solution | TestHub

PhysicsRotationAngular momentumEasy2 minPYQ_2021

PhysicsEasysingle choice

A uniform rod of length $L$ pivoted at one end $P$ is freely rotated in a horizontal plane with an angular velocity $ω$ about a vertical axis passing through $P$ . If the temperature of the system is increased by $Δ T$ , angular velocity becomes $\frac{ω}{2}$ . If coefficient of linear expansion of the rod is $α (α << 1)$ , then $Δ T$ will be

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Solution:

$I ω = I_{1} \frac{ω}{2}$ $I_{1} = 2 I$ $\frac{ml _{1}^{2}}{3} = 2 \frac{ml _{0}^{2}}{3}$ ${I_{0}^{2} (1 + α Δ T)}^{2} = 2 I_{0}^{2}, ∴ 1 + 2 α Δ T = 2 ∴ Δ T = \frac{1}{2 α}$

Stream:WBJEESubject:PhysicsTopic:RotationSubtopic:Angular momentum

⏱ 2mℹ️ Source: PYQ_2021

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