question_answer

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\[{{\lambda }_{o}}\], then the distance of the centre of mass from the lighter end is:

A) \[\frac{L}{2}-\frac{{{\lambda }_{o}}{{L}^{2}}}{4M}\]         

B)        \[\frac{L}{3}+\frac{{{\lambda }_{o}}{{L}^{2}}}{8M}\]

C) \[\frac{L}{3}+\frac{{{\lambda }_{o}}{{L}^{2}}}{4M}\]          

D) \[\frac{2L}{3}+\frac{{{\lambda }_{o}}{{L}^{2}}}{6M}\]