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Why is the parallelogram rule for the addition of forces as it is? 
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#1
Mar114, 09:49 AM

P: 2

Why is the parallelogram rule for the addition of forces as it is?
I feel it must have some deep origin and pointing to something fundamental. Though I know this problem may have no answer: God design it as such. But I wonder how the first person came up with this rule, where does his/her intuition come from? Are there something that addition of forces simply must obey due to logic itself? Are there active research going on that is investigating this? 


#2
Mar114, 10:26 AM

P: 1,411

Would you accept vector addition as being the logic?



#3
Mar114, 10:36 AM

P: 29

It is likely that it arose because, at the time this was being developed, probably at the time of people like Stevens (1548  1620) most mathematics was carried out geometrically. So the parallelogram construction was the natural mode of working.



#4
Mar114, 10:37 AM

P: 29

Why is the parallelogram rule for the addition of forces as it is?
Whoops, autocorrect jumped in. I mean Stevenus .



#6
Mar114, 01:12 PM

Thanks
P: 1,948

All the parallelogram rule does is to enforce that the addition of two vectors actually add their components.



#7
Mar114, 06:50 PM

Sci Advisor
Thanks
PF Gold
P: 1,908

Historically it was an observation about ropes. The rule is equivalent assuming the rule of linear superposition of forces ... that is, application of one force does not interfere with any other. This means that forces form a linear vector space.
The rule dates back to at least the first century BC; it appears in Heron's "Mechanics". But it is probably older. Philosophers have written on it: file:///C:/Users/Peter/Downloads/1548242481PB.pdf 


#8
Mar114, 09:04 PM

P: 2




#10
Mar214, 09:29 PM

Sci Advisor
Thanks
PF Gold
P: 1,908

Ooops  the full text is available here: http://www.ehu.es/ojs/index.php/THEO...icle/view/1548



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