Lami's Theorem | Example-1 | Engineering Mechanics

LAMI'S THEOREM :
Lami's theorem is a principle in statics and engineering mechanics that deals with the equilibrium of forces acting on a body. It is named after the Italian mathematician, physicist, and engineer Guillaume Lami.
Lami's theorem applies to the case of a body or object that is in static equilibrium under the influence of three concurrent coplanar forces. These forces are typically represented as vectors, and the theorem states that for such a body to be in equilibrium, the following relationship must hold:
F1/sin(α) = F2/sin(β) = F3/sin(γ)
In this equation:
F1, F2, and F3 are the magnitudes of the three forces.
α, β, and γ are the angles between each of the forces and the plane of the other two forces.
NOTE: Lami's theorem is a useful tool in solving problems related to the equilibrium of forces, especially when three forces are acting on an object, and you need to find the conditions for equilibrium. It helps ensure that the object is not in translational motion and has no net moment (torque) acting on it.

[@abirmitra2767]

Amazing explanation 🎉

[@easyscienceprep7445]

Thank you

[@jamesohara9152]

Absolutely brilliant - that is a super easy way to solve this system of 3 forces. Thank you.

[@easyscienceprep7445]

Thank you.

[@DevSingh12610]

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