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Which of the following theorem state that the algebraic sum of the moment of a system of coplanar forces about a moment centre in their plane is equal
Question

Which of the following theorem state that the algebraic sum of the moment of a system of coplanar forces about a moment centre in their plane is equal to the moment of their resultant force about the same moment centre?

A.

Varignon’s theorem

B.

Triangle law of forces

C.

Lami’s theorem

D.

Parallelogram law of force

Correct option is A


Varignon’s Theorem states: "The moment of a resultant force about a point is equal to the algebraic sum of the moments of all individual forces acting on the system about the same point."
Mathematically,
MR = ∑Mi
where MR​ is the moment of the resultant force and Mi​ are the moments of individual forces.
Information Booster:
· Used in structural and mechanical engineering for moment calculations.
· Helps simplify complex force systems.
· Used in determining centroid and center of gravity.
· Helps in the calculation of torque in machines.

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