Moment couple (opposite direction on same line)

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SUMMARY

The discussion centers on calculating the moment of a couple formed by two forces acting in opposite directions along the same line. The formula for the moment of a couple is defined as Moment couple = d * F, where 'd' represents the perpendicular distance between the lines of action of the forces. The participants clarify that since the forces are collinear and opposite, they cancel each other out, resulting in no net moment unless there is a defined distance between them.

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yecko
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DF47BF0A-A189-4B78-B537-1750C7C82952.jpeg
1. Homework Statement

It is a part of the question in my homework and I extract this out just for the part i m confused(in the picture above)

Homework Equations


Moment couple=d*F
[d is the difference in point of application (=sqrt41) or the perpendicular distance of the forces(=0) ?]

The Attempt at a Solution


As the forces on the same straight line in oppsite direction, I think they will cancel out each other...
Yet, I am not sure if there would be moment formed by the couple...

Thanks
 
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yecko said:
As the forces on the same straight line in oppsite direction, I think they will cancel out each other...
This is good intuition, but if you are unsure you should back it up with mathematics.
 
This is my mathematical prove
image.jpg
 

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