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CBSE Class 11-science Answered

Prove that the moment of a couple does not depend upon the point about which moments are taken.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Let us consider a couple acting on a rigid body at points A and B with position vectors with respect to origin O respectively.

and are the forces acting on points A and B respectively. 

The moment of couple = moment of force at A +moment of force at B                                                                  

But                   (using triangle law)

Therefore, eq. (1) becomes: moment of couple=
It is clear from the above equation that moment of couple is independent of origin, that is the point about which we have take the moment of forces.
Answered by | 04 Jun, 2014, 03:23: PM
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