There are few specific equations that need to be considered:
∑ F̅ = 0
Here in this equilibrium state, the rigid body will have no effects with external forces.
∑ F̅x= 0
∑ F̅y = 0
∑ F̅z= 0
In these three equations there will be no moment as the result out of any direction x, y or z.
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