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Question

Three identical uniform rods each of length 1m and mass 2kg are arranged to form an equilateral triangle. What is the moment of inertia of the system about an to axis passing through one corner and perpendicular to the plane of the triangle:

A
4kgm2
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B
3kgm2
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C
2kgm2
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D
3/2kgm2
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Solution

The correct option is B 3kgm2
I=ml23+ml23+ml212+m(3l2)2=2mc23+[mc212+3ml24]=2ml23+10ml212=18ml212=3ml22=3kgm2Hence,theoptionBisthecorrectanswer.

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