Physics - Rotation Question with Solution | TestHub

A lamina is made by removing a small disc of diameter$2\mathrm{R}$from a bigger disc of uniform mass density and radius$2\mathrm{R}$, as shown in the figure. The moment of inertia of this lamina about axes perpendicular to the plane of the lamina and passing through the points$\mathrm{O}$and$\mathrm{P}$is${\mathrm{I}}_{\mathrm{O}}$and${\mathrm{I}}_{\mathrm{P}}$​ respectively. If the ratio$\frac{{\mathrm{I}}_{\mathrm{P}}}{{\mathrm{I}}_{\mathrm{O}}}=\frac{\mathrm{m}}{\mathrm{n}}$, where$\mathrm{m}$and$\mathrm{n}$are the smallest integers, then what is the value of$\mathrm{m}+\mathrm{n}$?