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Moment of inertia of a cylinder of mass ...

Moment of inertia of a cylinder of mass M, length L and radius R about an axis passing through its centre and perpendicular to the axis of the cylinder is `I = M ((R^2)/4 + (L^2)/12)`. If such a cylinder is to be made for a given mass of a material, the ratio `L//R` for it to have minimum possible I is :

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