Question
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 = $M\left( {{{{R^2}} \over 4} + {{{L^2}} \over {12}}} \right)$. If such a cylinder is to be made for a given mass of a material, the ratio ${L \over R}$ for it to have minimum possible I is
I = $M\left( {{{{R^2}} \over 4} + {{{L^2}} \over {12}}} \right)$. If such a cylinder is to be made for a given mass of a material, the ratio ${L \over R}$ for it to have minimum possible I is