Civil Engineering MCQAE Level Civil Engineering

Lami theorem applies to three concurrent coplanar forces in equilibrium and states that each force is proportional to the:

Engineering MechanicsLami Theorem Three ForcesMEDIUM

Choose the correct answer

A

Sine of the angle opposite to it (sine of the angle between the other two forces)

B

Sum of the other two forces

C

Cosine of the angle between itself and one other force

D

Algebraic sum of components

Correct Answer

A. Sine of the angle opposite to it (sine of the angle between the other two forces)

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Lami's theorem: for three concurrent forces F1, F2, F3 in equilibrium: F1/sin(alpha) = F2/sin(beta) = F3/sin(gamma), where alpha = angle between F2 and F3 (opposite to F1), beta = angle between F1 and F3, gamma = angle between F1 and F2. Useful for finding unknown forces when all three are concurrent and two angles are known.

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