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Physics - Rotation Question with Solution | TestHub

PhysicsRotationCalculation of M.I.Hard2 minPYQ_2023

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

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Solution:

The equation for angular momentum is $L = 2 K_{Rot} \times I$ So, $L \propto I$ $∴$ The ratio of angular momentum of the two bodies is $\frac{L _{1}}{L _{2}} = \frac{I _{1}}{I _{2}}$ $\frac{L _{1}}{L _{2}} = \frac{I}{2 I} \dots .. ($ given $I_{2} = 2 I)$ $∴ \frac{L _{1}}{L _{2}} = \frac{1}{2}$

Stream:MHT_CETSubject:PhysicsTopic:RotationSubtopic:Calculation of M.I.

⏱ 2mℹ️ Source: PYQ_2023

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