The moment of inertia of a uniform cylinder of length ℓ and radius R about its perpendicular bisector is I. What is the ratio ℓ / R such that the moment of inertia is minimum?

Question:

19.The moment of inertia of a uniform cylinder of length ℓ and radius R about its perpendicular bisector is I. What is the ratio ℓ / R such that the moment of inertia is minimum?

Options :

a) 3/√2
b) √3/2
c) √3/2
d) 1

Answer :

b) √3/2

Answer Steps :

Step1 :-

Step2 :-

Step3 :-

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