Physics - Rotation Question with Solution | TestHub

A thin rod of total length $l$ and of mass m has variable linear density given by $\rho ={\rho }_0[1+(\mathrm{x}/l)]$, where x is the distance from one end. Calculate the moment of inertia (in $\mathrm{kg}{\mathrm{m}}^2$ ) about an axis perpendicular to the length of the rod and passing midway, at $\mathrm{x}=l/2$. (Take ${\rho }_0=1\mathrm{kg}/\mathrm{m},l=2\mathrm{m}$ )