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RRB Junior Engineer / DMS / CMA 2019 · Question 3506 of 3719

Which of the following states that, "If a body is in equilibrium, under the action of three concurrent forces, each force is proportional to the sine of the angle between the other two forces"?

  1. AParallelogram law of forces
  2. BVarignon's theorem
  3. CTransmissibility of forces
  4. DLami's theoremCorrect

Answer: D. Lami's theorem

Explanation

Explanation: 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: Important Points Varignon’s Principle of moments (or the law of moments): It states, “If a number of coplanar forces are acting simultaneously on a particle, the algebraic sum of the moments of all the forces about any point is equal to the moment of their resultant force about the same point .” ​ = sin α A ​ = sin β B ​ sin γ C i.e. R × r = F 1 × r 1 + F 2 × r 2

Source: RRB JE 2019 (CBT 2) (ME) Previous Year Paper (31 Aug 2019) — prepp.in solved-paper PDF (answer key with explanations) · reliable-secondary

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