Physics

Problem

A thin bar of length

L

has a mass per unit length

\lambda

, that increases linearly with distance from one end. If its total mass is

M

and its mass per unit length at the lighter end is

\lambda_0

, then the distance of the centre of mass from the lighter end is: a.

\frac{L}{2} - \frac{\lambda_0 L^2}{4M}

\frac{L}{3} + \frac{\lambda_0 L^2}{8M}

\frac{L}{3} + \frac{\lambda_0 L^2}{4M}

\frac{2L}{3} - \frac{\lambda_0 L^2}{6M}