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Question

A uniform rectangular lamina is shown in figure. Find the moment of inertia Icom about z axis which passes through its centre and perpendicular to its plane. Here b=10 m, l=20 m & M=12 kg.


A
100 kg-m2
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B
1200 kg-m2
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C
400 kg-m2
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D
500 kg-m2
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Solution

The correct option is D 500 kg-m2
For a rectangular lamina, the moment of inertia about an axis passing through its COM & to the plane of lamina is given by:
Icom=Ml212+Mb212
Putting the given values,
Icom=12×20212+12×10212
Icom=500 kg-m2

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