Do you have to use Lami's theorem for a three force system every time you are solving for the smallest force possible or can you take 90-the opposite angle?
Lami’s theorem is obtained from the Sine Rule for triangles. If you represent the forces as lines as in free-body diagrams, and translate them in such a manner that the head of one touches the tail of another, you will notice that when there are three forces, if they cancel each other, they will form a triangle. If they do not cancel each other, they will form an open curve. The Sine Rule is applicable only for triangles and not for all polygons. Thus, Lami’s theorem is applicable for three forces, but not for any number of forces.
Lami’s Theorem states: “If three coplanar forces acting on a point produce the effects of equilibrium, then each of them are proportional to the sine of the angle between the other two."
Looking at the figure, mathematically the above definition can be expressed as:
Do you have to use Lami's theorem for a three force system every time you are...
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