COUPLE OF FORCE



COUPLE OF FORCE
DEFINITION
Two forces which are equal in magnitude but opposite in direction and not acting along the same line constitute a couple.Two forces forming couple 

Consider two equal and opposite forces F and -F acting oppositely along parallel lines on two points A and B as shown below:
Let and are their position vectors with respect to origin.





Magnitude of torque is given by:
= r F sinq
Where q is the angle between and .
rsinq is the perpendicular distance between the line of action of the two forces. Let it is denoted by d.
Thus the magnitude of the torque of couple will be:
= Fd
Where d is called the moment arm of the couple.
Now
the magnitude of the couple = Magnitude of any of the forces forming couple X moment arm of couple
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