The moment of inertia of a uniform

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. 1

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

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

  4. $\frac{\sqrt{3}}{2}$


Correct Option: , 3

Solution:

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