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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