Physics

Problem

The linear mass density of a thin rod AB of length

L

varies from A to B as

\lambda(x) = \lambda_0 \left(1 + \frac{x}{L}\right)

, where

x

is the distance from A. If

M

is the mass of the rod then its moment of inertia about an axis passing through A and perpendicular to the rod is : a.

\frac{5}{12} ML^2

\frac{7}{18} ML^2

\frac{2}{5} ML^2

\frac{3}{7} ML^2