$A$ uniform rod of length $200\, cm$ and mass $500\, g$ is balanced on a wedge placed at $40\, cm$ mark. A mass of $2\, kg$ is suspended from the rod at $20\, cm$ and another unknown mass ' $m$ ' is suspended from the rod at $160\, cm$ mark as shown in the figure Find the value of 'm' such that the rod is in equilibrium. $\left( g =10\, m / s ^{2}\right)$