The net force must all be equal to zero (0) for an object to be in mechanical equilibrium, in order for the sum of all forces to be equal to each other.
In Classical mechanics, mechanical equilibrium can be defined as a phenomenon in which the net force acting on a physical object or body is equal to zero because it is at rest or in an unaccelerated motion.
A net force can be defined as the vector sum of all the forces that are acting on a physical object or body. This ultimately implies that, a net force is a single (one) force which substitutes the effect of all the forces that are acting on a physical object or body when it is in mechanical equilibrium.
In this context, we can infer and logically deduce that the net force must all be equal to zero (0) for an object to be in mechanical equilibrium, in order for the sum of all forces to be equal to each other.
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