Strength of Materials
A number of forces acting at a point will be in equilibrium if

Their total sum is zero
Sum of resolved parts in any two perpendicular directions are both zero
All of them are inclined equally
Two resolved parts in two directions at right angles are equal

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Strength of Materials
According to principle of moments

if a system of coplanar forces is in equilibrium, then their algebraic sum is zero
the algebraic sum of the moments of any two forces about any point is equal to moment of theiwesultant about the same point
positive and negative couples can be balanced
if a system of coplanar forces is in equilibrium, then the algebraic sum of their moments about any point in their plane is zero

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