Question about System of Forces

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Forces can act through any point in space, not just the origin, as long as the accompanying couple is adjusted accordingly. A force can be represented at any coordinate, such as (97,6,300000), but this changes the nature of the couple involved. If the force and couple are co-planar, the couple can be eliminated by using two equal and opposite forces. This allows for flexibility in the magnitude and direction of the forces, provided the distance between them is modified. Ultimately, the system can be simplified by balancing the forces in the couple against the applied force.
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Hi Trickster_00! :smile:
Trickster_00 said:
We have ∑ri x Fi ≠ 0, so why does the force act through the origin?

it can act through anywhere

you could write it as a force acting through (97,6,300000) if you wanted to, but the accompanying couple would be different :wink:

(btw, if the force and the couple were co-planar, you could choose to make the couple vanish)
 
oh, I see you've asked about that in another thread …
Trickster_00 said:
Untitled.png

it's because we can always replace a couple by two equal and opposite forces in the same plane as the couple …

so we can make the two forces any magnitude we like, and in any direction in that plane that we like, so long as we adjust the distance between the two forces …

so make one of the two forces (in the couple) equal and opposite to the given force …

then they cancel, leaving only the other force in the couple :wink:​
 
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