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Question

Find the moment of inertia of an equilateral triangular lamina of mass 1 kg and having sides 3 m about the axis passing through its centre of mass and perpendicular to the plane of triangular lamina.

A
0.75 kg-m2
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B
1.5 kg-m2
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C
1 kg-m2
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D
3 kg-m2
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Solution

The correct option is A 0.75 kg-m2

Given:
Sides of the equilateral triangular lamina ;a=3 m
Mass of triangular lamina ;m=1 kg

M.O.I of equilateral tringular lamina about the axis passing through its centre of mass;
Icom=ma212
=1×3212 kg-m2
=0.75 kg-m2

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