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If I is moment of inertia of a disc abou...

If I is moment of inertia of a disc about an axis passing through its centre then find change in moment of inertia due to small change in its temperature `Deltat` (`alpha` is coefficient of linear expansion).

Text Solution

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Let `I=(MR^(2))/2" then "DeltaI=M/(2)2RDeltaR`
`(DeltaI)/I=(MRDeltaR)/(MR^(2)"/"2)=2(DeltaR)/R`
but `(DeltaR)/R=alphaDeltatrArr(DeltaI)/I=2alphaDeltaT andDeltaI=2IalphaDeltat`.
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