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Question

Two thin rod of mass m and length l are joined together to make a L shaped structure. Find out moment of inertia of structure about an axis passing through their common joining point and perpendicular to the plane of structure.

A
ml212
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B
ml23
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C
2ml23
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D
ml26
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Solution

The correct option is C 2ml23
Both rod oa and ob are joined at common point o.
So, moment of Inertia of rod oa about xx
Ioa=ml23
and moment of inertia of rod ob about xx
Iob=ml23

Moment of inertia of L shaped structure is given by Inet=Ioa+Iob
Inet=ml23+ml23
Inet=23ml2

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