Equilibrium of a Rigid Body – Moments

2021 1 question

1. 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. ($g=10\ m/s^2$) [add image]