Three forces acting on a rigid body are represented in magnitude, direction and line of action by the three sides of a triangle taken in order. The forces are equivalent to a couple whose moment is equal to___

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RRB JE ME CBT 2 Previous Paper 1: Held on 29 Aug 2019
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  1. Thrice the area of the triangle
  2. Twice the area of the triangle
  3. The area of the triangle
  4. Half the area of the triangle

Answer (Detailed Solution Below)

Option 2 : Twice the area of the triangle
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Concept:

F1 Krupalu 26.10.20 Pallavi D6

\(Moment = P × OC\)

And

\(Area\;of\;triangle = \frac{1}{2} × AB × OC\)

                            \( = \frac{1}{2} × P × OC\)

                            = \(\frac{1}{2}\)× moment

∴ Moment = Twice the area of a triangle

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