Rotational Motion Question 125

Question: A thin wire of length L and uniform linear mass density ρ is bent into a circular loop with centre at O as shown. The moment of inertia of the loop about an axis XY is

Options:

A) ρL38π2

B) ρL316π2

C) 5ρL38π2

D) 3ρL38π2

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Answer:

Correct Answer: D

Solution:

[d] L=2πrr=L2π,m=ρL

lxy=32mr2

=32ρL(L2π)2=38ρL3π2



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