InterviewSolution
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InterviewSolution
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A disc of radius R and thickness R/6 has moment of inertia / about an axis passing through its centre and perpendicular to its plane. Disc is melted and recast into a solid sphere. The moment of inertia of a sphere about its diameter isA. `(I)/(5)`B. `(I)/(6)`C. `(I)/(32)`D. `(I)/(64)` |
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Answer» Correct Answer - A `(4pi)/(3)R_(1)^(3)=Axxt` `(4pi)/(3)R_(1)^(3)=piR^(2)(R)/(6)` `R_(1)^(3)=(1)/(8)R^(3)` `R_(1)=(1)/(2)R` `I_(1)=(2)/(5)MR_(1)^(2)=(2)/(5)M((R)/(2))^(2)` `=(2)/(5)(MR^(2))/(4)` `=(1)/(5)=(MR^(2))/(2)=(I)/(5)` |
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