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UPSC Civil Service Exam Questions

Q1:

The moment of inertia of a given rectangular area is minimum about

A its longer centroidal axis

B its polar axis

C its axis along the diagonal

D its shorter centroidal axis

ANS:D - its shorter centroidal axis

It will be a longer centroidal axis.

This is because MI = sum of mass elements with their distance squares.

Distance squares sum will be minimum if the axis of rotation/reference is taken as LONGER centroidal axis.



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