Equilibrium in math is when you have two expressions that are equal to each other. generally the notation for this is the = sign.
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yes. Equilibrium can either be static i.e no movement or dynamic i.e movement is allowed. The main determining factor for equilibrium is that all forces acting at a point or points add up to zero.
The equilibrium point of a pendulum is when it does not oscillate and is quite stable. It does not count if you interfere with the movement of the pendulum (eg.: by holding it).
Math
math 7