Wednesday, 6 March 2019

6 COUPLES AND FORCE-COUPLE SYSTEMS

If two parallel forces (separated by a distance d)have same magnitude but are opposite, their force resultant will be zero but their resultant moment will not. This pair of forces is called a couple. These two forces will create a rotation instead of translation or linear movement.


MOMENT OF A COUPLE


Similar with how moment is computed, couples can be computed using two methods:

1. Scalar formulation which defines defines the magnitude of the couple as

                                   

2.Vector formulation using the principle of cross product in the computation
                                     

Scalar formulation is limited on two-dimensional plane or coplanar forces but vector formulation is used for both two-dimensional and three-dimensional planes.

Also, the principle of moments would be followed (The resultant moment of a couple can be determined by taking the summation of  moments from the couples).









EXAMPLE 3: RESULTANT COUPLE MOMENT FOR SPATIAL  COUPLES
EXAMPLE 4: RESULTANT COUPLE MOMENT FOR SPATIAL  COUPLES

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