A rod length `L` and mass `M` is placed along the `x`-axis with one end at the origin, as shown in
Channel: Doubtnut
Date: 26/01/2020

A rod length `L` and mass `M` is placed along the `x`-axis with one end at the origin, as shown in the figure above. The rod has linear mass density `lamda=(2M)/(L^(2))x,` where `x` is the distance from the origin. Which of the following gives the `x`-coordinate of the rod\'s center of mass?