Applied Mechanics and Graphic Statics
A system of coplanar forces is in equilibrium when

Force polygon closes
Funicular polygon closes
All the forces are concurrent
Both force polygon" and funicular polygon close

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Applied Mechanics and Graphic Statics
A point subjected to a number of forces will be in equilibrium, if

Algebraic sum of the forces is zero
Sum of resolved parts in any two directions at right angles, are both zero
Two resolved parts in any two directions at right angles are equal
Algebraic sum of the moments of the forces about the point is zero

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