Equilibrium of a Rigid Body – Moments

2021 1 question

1. 1 System of Particles and Rotational Motion Medium
   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. ($g=10\ m/s^2$)
   
   A $\frac{1}{3}\ kg$ B $\frac{1}{6}\ kg$ C $\frac{1}{12}\ kg$ D $\frac{1}{2}\ kg$
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