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Physics - Rotation Question with Solution | TestHub

PhysicsRotationCalculation of M.I.Easy2 minPYQ_2022

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Two circular loops $P$ and $Q$ of radii $r$ and $n r$ respectively are made from a uniform wire. Moment of inertia of $Q$ about its axis is four times that of $P$ about its axis. The value of $n$ is

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Solution:

Given, $I_{Q} = 4 I_{P}$ . Let $m$ be the mass per unit length of wire. $∴ m \times 2 πn r (n r)^{2} = 4 [(m 2 π r) r^{2}]$ Implies $n^{3} = 4$ $\Rightarrow n = 4^{1/3}$

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

⏱ 2mℹ️ Source: PYQ_2022

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