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Physics - Rotation Question with Solution | TestHub

PhysicsRotationAngular momentumMedium2 minPYQ_2020

PhysicsMediumsingle choice

Two bodies have their moments of inertia I and 2I respectively about their axes of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio

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Solution:

$(kE)_{1} = (kE)_{2} ∴ \frac{1}{2} I ω_{1}^{2} = \frac{1}{2} (2 I) ω_{2}^{2} ∴ \frac{ω _{1}^{2}}{ω _{2}^{2}} = 2 ∴ \frac{ω _{1}}{ω _{2}} = 2$ Ratio of angular momenta $= \frac{I ω _{1}}{2 I ω _{2}} = \frac{1}{2} \frac{ω _{1}}{ω _{2}} = \frac{1}{2}$

Stream:MHT_CETSubject:PhysicsTopic:RotationSubtopic:Angular momentum

⏱ 2mℹ️ Source: PYQ_2020

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