Question

state and prove lamis therom​

Answer 1

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Answer 2

Lami's theorem states that, if three concurrent forces act on a body keeping it in Equilibrium, then each force is proportional to the sine of the angle between the other two forces.

Lami's theorem states that, if three concurrent forces act on a body keeping it in Equilibrium, then each force is proportional to the sine of the angle between the other two forces.

Let P, Q, R be the 3 concurrent forces in equilibrium as shown in fig. (a)

Since the forces are vectors, we can move them to form a triangle as shown in fig. (b)

Applying sine rule we get

P/(sin(180−α))=Q/(sin(180−β))=R/(sin(180−θ))P/(sinα)=Q/(sinβ)=R/(sinθ)...... Hence Proved

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