The algebraic sum of moments of the forces forming couple about any point in their plane is

The algebraic sum of moments of the forces forming couple about any point in their plane is

Right Answer is:

Equal to the moment of the couple

SOLUTION

The algebraic sum of moments of the forces forming a couple about any point in their plane is equal to the moment of the couple.

Varingon’s theorem states that if many coplanar forces are acting on a body, then the algebraic sum of moments of all the forces about a point in the plane of the forces is equal to the moment of their resultant about the same point.

The algebraic sum of moments of the forces forming couple about any point in their plane is

The moment of the resultant force about point O is given as,

Mo = (F1a) + (F2b) + (F3c) + M1 + M2

Hence the algebraic sum of moments of the forces forming a couple about any point in their plane is equal to the moment of the couple.

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