Physics

Problem

A non-uniform rod of length

L = 2\,\text{m}

lies along the

x

-axis with one end at

x = 0

. Its linear mass density varies as

\lambda = (2 + x)\,\text{kg/m}

. Calculate the Moment of Inertia of the rod about an axis passing through

x = 0

and perpendicular the rod.