How can you explain how a balance works vectorially?

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Discussion Overview

The discussion revolves around the mechanics of a balance scale, specifically how it operates under different angles and weights. Participants explore the vectorial explanation of forces acting on the balance, questioning the adequacy of vector analysis in describing its behavior when tilted.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant describes a balance with equal weights and asserts that it remains horizontal due to equal forces acting on it.
  • Another participant questions the assertion that a tilted balance would tend to level, seeking clarification on this idea.
  • A participant claims to have conducted personal experiments supporting the notion that a balance tends to level, suggesting that basic physics supports this observation.
  • One participant proposes that the asymmetrical forces from the central support when tilted may influence the balance's behavior, indicating a non-ideal scenario in practical experiments.
  • Another participant disagrees with the notion that a balance will not level when weights are equal, stating that basic physics dictates it should balance, but acknowledges that vector analysis may not adequately explain the phenomenon.
  • A further claim is made that when unequal weights are applied, vector analysis suggests the balance should behave differently than it does in practice, reinforcing the idea that vectors may not fully capture the mechanics of a balance.

Areas of Agreement / Disagreement

Participants express disagreement regarding the behavior of the balance when tilted, with some asserting it should level while others challenge this view. The discussion remains unresolved, with multiple competing perspectives on the adequacy of vector analysis in explaining the balance's operation.

Contextual Notes

Participants highlight limitations in vector analysis for explaining the balance's behavior, particularly under non-ideal conditions, but do not reach a consensus on the underlying mechanics.

eosphorus
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you have a balance with 1kg weight in each 1 meter long arm

when its horizontal each 10 N force * 1 m long will balance so the balance won't move

but when you lean the balance 45º the vertical force will be cos 45 * 10 N in each arm so the balance should stay in that position since the forces are equal but it tend to level horizontal

can anyone explain this please
 
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All I can do is ask where you got the idea that a balance in such a situation would tend to leve!
 
its not only what basics physics say but besides i have tested it myself in case that basic physics were wrong
 
I am betting it has to do with the force between the ballance and the central support. I am guessing, that in your (non-ideal) experiment the force from the support is no longer symmetrical once the balance is tilted.
 
im afraid i disagree basic physics says a balance will balance or level with equal weights in its arms

the problem is that you can't prove it vectorially what doesn't mean the balance won't level simply vectors fail to explain a simple physical process
 
besides if you put 1kg in one arm and 2 kg in the other arm and aply vectors the balance will tend to put vertical according to vectors but balances don't behave that way

i insist vectors fail to explain how a balance works
 

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