1
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Question

# Find the M.I. of a thin uniform rod about an axis perpendicular to tis length and passing through a point which is at a distance "l3" from one end. Then the radius of gyration about that axis.

A
l3
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B
l2
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C
l4
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D
l6
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Solution

## The correct option is A l3Let R be radius of gyrationMoment of inertia through centre of rod is Ml212Moment of inertia through a point at a distance is l3 from one end is equal to a distance of l6 from the centre of rod isMl212+M(l6)2=Ml29Ml29=MR2R=l3

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