Condition for Equilibrium using Force Polygon

Theorem

Let $\SS$ be a system of forces $\SS$ act at a point.

Let $\SS$ give rise to a force polygon $A_0 A_1 \ldots A_n A_0$.

Then $\SS$ is in equilibrium if and only if $A_n$ and $A_0$ coincide.

Proof

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Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): force polygon