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Physics - Rotation Question with Solution | TestHub

PhysicsRotationCalculation of M.I.Easy2 minPYQ_2021

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Two rings of radius ' $R$ ' and ' $n R$ ' made of same material have the ratio of moment of inertia about an axis passing through its centre and perpendicular to the plane is $1 : 8$ . The value of ' $n$ ' is (mass per unit length $= λ$ )

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Answer:

Solution:

$I_{1} = \frac{1}{2} MR^{2} I_{2} = \frac{1}{2} (nM) (nR)^{2} = \frac{1}{2} n^{3} MR^{2} ∴ \frac{I _{1}}{I _{2}} = \frac{1}{n ^{3}} = \frac{1}{8} ∴ n^{3} = 8 or n = 2$

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

⏱ 2mℹ️ Source: PYQ_2021

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