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...condition of a system in which competing influences are balanced.
Your weight is the gravitational attraction force between you and the Earth and not a property of mechanical equilibrium. Mechanical equilibrium is a state in which a momentum coordinate of a particle, rigid body, or dynamical system is conserved.
When the object is at rest with respect to the frame of reference chosen.
It measures the maximum displacement of a particle in the wave from the equilibrium position. The equilibrium position is also known as the resting position. When displacement of the particle equal to the amplitude, we say that it is at the amplitude, where it is furthest from its equilibrium position.
In First condition of equilibrium the sum of all forces is zero.
When a body or a system is in equilibrium, there is no net tendency to change. Everything is equal.
Consider two equal and opposite forces acting along different lines of the body, which causes the body to rotate, although first condition is fulfilled but body is still moving. Thus, we need another condition for equilibrium that is the second condition of equilibrium.
The equilibrium condition requires the sum of the forces on the body to be zero.
In neutral equilibrium, displacement in either direction would not affect the potential energy of the particle, therefore, the graph would be horizontal.
A rapid linear motion of a particle or of an elastic solid about an equilibrium position.
Vertigo
The sum of the vectors of the forces must be zero.