The equations of equilibrium for a non-concurrent force system are:

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  1. ∑Fy = 0
  2. ∑Fx​ = 0, ∑Fy​ = 0
  3. ∑Fx​ = 0
  4. ∑Fx​ = 0, ∑Fy = 0 and ∑M = 0

Answer (Detailed Solution Below)

Option 4 : ∑Fx​ = 0, ∑Fy = 0 and ∑M = 0
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Detailed Solution

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Explanation:

Equations of equilibrium for Non-concurrent force System: A non-concurrent force system will be in equilibrium if the resultant of all forces and moments is zero.

  • ΣFx = 0, ΣFy = 0 and ΣM = 0

Equations of equilibrium for concurrent force System: For the concurrent forces, the lines of action of all forces met at a point and hence the moment of those forces about that point will be zero or ΣM = 0 automatically.

  • ΣFx = 0 and ΣFy = 0
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