Physics - Rotation Question with Solution | TestHub

${\mathrm{I}}_0$ is the moment of inertia of a rod about an axis through its centre of mass and perpendicular to the length whose linear density varies as $\lambda =\mathrm{ax}$ where a is a constant and x is the position of an element of the rod relative to its left end. The length of the rod is $\ell$. If ${\mathrm{I}}_0={\mathrm{I}}_0=\frac{\mathrm{a}{\ell }^4}{\mathrm{P}}$. Find the value of P .