Lami's theorem

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In physics, Lami's theorem is an equation relating the magnitudes of three coplanar, concurrent and non-collinear forces, which keeps an object in static equilibrium, with the angles directly opposite to the corresponding forces. According to the theorem, screw hindi videos on youTube

where A, B and C are the magnitudes of the three coplanar, concurrent and non-collinear forces, , which keep the object in static equilibrium, and α, β and γ are the angles directly opposite to the forces.[1]

Illustration of Lami's theorem

Lami's theorem is applied in static analysis of mechanical and structural systems. The theorem is named after Bernard Lamy.[2]

Proof[edit]

As the forces must balance , hence by making all the forces touch its tip and tail we can get a triangle with sides A,B,C and angles . By sine rule,[1]

See also[edit]

References[edit]

  1. ^ a b Dubey, N. H. (2013). Engineering Mechanics: Statics and Dynamics. Tata McGraw-Hill Education. ISBN 9780071072595.
  2. ^ "Lami's Theorem - Oxford Reference". Retrieved 2018-10-03.

Further reading[edit]