Applied Mechanics and Graphic Statics
If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

Always reduce to a couple
Be in equilibrium
Always reduce to a resultant force
Both (A) and (C)

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Applied Mechanics and Graphic Statics
According to Law of Triangle of Forces

If the forces acting on a particle be represented in magnitude and direction by the two sides of a triangle taken in order, their resultant will be represented in magnitude and direction by the third
Three forces acting along the sides of a triangle are always in equilibrium
If three forces acting on a, point can be represented in magnitude and direction, by the sides of a triangle taken in order, these will be in equilibrium
Three forces acting at a point, can be rep-resented by the sides of a triangle, each side being in proportion to the force

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