Applied Mechanics and Graphic Statics
The resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’, is

P² + Q² + 2PQ tan θ
√(P² + Q² + 2PQ cos θ)
P² + Q² + 2P sin θ
P² + Q² + 2PQ cos θ

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

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