Lami's theorem

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Lami's theorem in statics states that

if three coplanar forces are acting on a same point and keep it stationary, then it obeys the relation
\frac{A}{\sin(\gamma)}=\frac{B}{\sin(\beta)}=\frac{C}{\sin(\alpha)}
where A, B and C are the magnitude of forces acting at the point (say P), and the values of
α, β and γ
are the angles directly opposite to the forces C, B and A respectively.

Image:LamisTheorem.jpg

Lami's theorem is applied in static analysis of mechanical and structural systems.

[edit] See also

  1. Mathematics of Vectors
  2. Vectors in Mechanics
  3. TextBook 'Engineering Mechanics' by Beer & Johnson
  4. TextBook 'Physics' by Hayt & Kemmerly
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