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The two conditions of equilibrium are:

1. Concurrent Equilibrium the sum of vector forces through a point is zero.

2. Coplanar equilibrium, the sum of forces in a plane is zero and the sum of the torques around the axis of the plane is zero.

These two conditions are similar to Ohms Laws in Electricity: Ohms Node Law the sum of the currents at a node is zero and Ohms Voltage law, the sum of the voltages around a loop is zero.

These equilibrium conditions reflect the Quaternion mathematics that controls physics.

Quaternions consist of a scalar or real number and three vector numbers.

Equilibrium is the Homogeneous condition of a quaternion equation: the sum of the scalars or real numbers must be zero AND the sum of the vector numbers must also be zero. Thus there are TWO Conditions for Equilibrium. However if we were to use quaternions as nature does, then Equilibrium would be simplified to the zero quaternion condition.

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Related Questions

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The conditions that determine whether a system is in stable, unstable, or neutral equilibrium depend on how the system responds to disturbances. In stable equilibrium, the system returns to its original state after a disturbance. In unstable equilibrium, the system moves further away from its original state after a disturbance. In neutral equilibrium, the system remains in its new state after a disturbance.


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