Lami's Theorem | Principle | Formula

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The theorem of Lami is related to the system of forces such as the magnitude of three coplanar, concurrent and non-colinear forces which keep a body in static equilibrium. 

Lami's Theorem
Lami's Theorem


Lami's theorem statement:


Lami's theorem states that if three concurrent, coplanar, or non-colinear forces acting at a point which is in equilibrium, then each force is proportional to the sine angle between the other two forces. 

Now we consider the three forces A, B and C acting on a rigid body or particle and all forces making respective angles α, β and γ with each other as we have shown in the above figure.

Now we can represent the Lami's theorem in mathematically :


A / sinα  = C / sinγ = B / sinβ

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