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Question

A thin uniform rod of mass 5 kg is rotating about an axis perpendicular to it's plane, passing through midpoint of the rod of length 4 m. Find the moment of inertia of the rod about this axis.

A
66.6 kg.m2
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B
6.66 kg.m2
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C
33.33 kg.m2
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D
3.33 kg.m2
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Solution

The correct option is B 6.66 kg.m2
Mass of rod (m) = 5 kg
length of the rod (l) = 4 m
MI of rod about an axis(z), which is to the plane of rod i.e xy plane will be:
Iz=ml212
Iz=5×4212=8012
Iz=6.66 kg.m2

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