The moment of inertia of a uniform

eSaral Updated on: 04 Jan, 2023

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Question:
The moment of inertia of a uniform cylinder of length $\ell$ and radius $\mathrm{R}$ about its perpendicular bisector is I. What is the ratio $\ell / R$ such that the moment of inertia is minimum ?

1
$\frac{3}{\sqrt{2}}$
$\sqrt{\frac{3}{2}}$
$\frac{\sqrt{3}}{2}$

Correct Option: , 3

Solution:

The moment of inertia of a uniform

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