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 the axis XX' is :

Question:

16.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 the axis XX’ is :

Options :

a) ρL^3/8π^2
b) ρL^3/16π^2
c) 5ρL^3/16π^2
d) 3ρL^3/8π^2

Answer :

d) 3ρL^3/8π^2

Answer Steps :

Diagram :-

Step1 :-

Step2 :-

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