Why is the parallelogram rule for the addition of forces as it is?

[zexott]

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?

 

[256bits]

Would you accept vector addition as being the logic?

 

[bhillyard]

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.

 

[bhillyard]

Whoops, autocorrect jumped in. I mean Stevenus .

 

[adjacent]

Use the Edit button to correct it.

 

[dauto]

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

 

[UltrafastPED]

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/1548-24248-1-PB.pdf

 

[zexott]

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/1548-24248-1-PB.pdf

Ah, observation of ropes, that's how their intuition comes. Now it seems conceivable for me. Your information is very detailed and now I guess I can trace it down. Thank you so much! And thank you all for your time and attention!

 

[adjacent]

file:///C:/Users/Peter/Downloads/1548-24248-1-PB.pdf

Don't you have a web link?

 

[UltrafastPED]

Ooops - the full text is available here: http://www.ehu.es/ojs/index.php/THEORIA/article/view/1548