Write the condition for rotational equilibrium and translational equilibrium.

(N/A) For a system to be in equilibrium,it must satisfy both translational and rotational equilibrium conditions.
$1$. Translational Equilibrium: The net external force acting on the system must be zero.
$\sum \vec{F}_{ext} = 0$
This implies that the linear acceleration of the center of mass of the system is zero.
$2$. Rotational Equilibrium: The net external torque acting on the system about any point must be zero.
$\sum \vec{\tau}_{ext} = 0$
This implies that the angular acceleration of the system is zero.