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The couple and the other two force systems in free body diagrams can be easily simplified.

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The couple and the other two force systems in free body diagrams can be easily simplified.

(a) Statement is wrong

(b) Statement is right

(c) Statement is right if we remove ‘couple’ part

(d) Statement is right if we remove ‘force’ part

The question was asked by my college professor while I was bunking the class.

My question is from Different Free Body Diagrams topic in division Equilibrium of a Rigid Body of Engineering Mechanics

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Correct option is (b) Statement is right

The best I can explain: Both of them are vector quantities. And both of them can be easily simplified. If taken in the vector form then the task is even easier. Thus it is not necessary for the force or the couple to be vector only, even if the magnitude is taken, the simplification is done in the 2D.

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