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Q.

The moment of inertia of a uniform thin rod of length L and mass M about an axis passing through a point at a distance of L/ 3 from one its ends and perpendicular to the rod is

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a

7ML248

b

ML212

c

ML29

d

ML23

answer is C.

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Detailed Solution

See fig The distance OC =L2−L3=L6Applying the theorem of parallel axisIC=IO+M(OC)2=ML212+ML62=ML29
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