Can three forces in equilibrium have unequal magnitudes?

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Trickster_00
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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:
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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:​