Discover the Law of Levers: Uncovering Evidence and Documents | Prove It Now!

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Discussion Overview

The discussion revolves around the "Law of Levers," with participants seeking evidence and proofs related to this principle. The scope includes theoretical understanding, mathematical derivations, and practical applications of levers, particularly in contexts like hammers pulling nails.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant requests documents to prove the Law of Levers, indicating a desire for evidence or formal proofs.
  • Another participant asks for clarification on the specific Law of Levers being referenced and suggests sharing reading materials.
  • Some participants mention that the angular momentum theorem is established in textbooks and that the Law of Levers is a specific case of this broader principle.
  • There are discussions about the nature of "proof," with one participant questioning whether a mathematical proof or experimental validation is being sought.
  • One participant suggests that the equilibrium condition, where the net torque must be zero, is fundamental to understanding the Law of Levers, providing a mathematical expression related to torque.
  • Another participant introduces the principle of virtual work as a method to prove the Law of Levers, linking it to equilibrium conditions.
  • Several participants share links to external resources, including Wikipedia articles, to aid in understanding the topic.

Areas of Agreement / Disagreement

Participants express varying interpretations of what constitutes a "proof" of the Law of Levers, indicating that there is no consensus on the specific nature of the evidence being sought. Multiple competing views remain regarding the best approach to proving the law and the types of examples that illustrate its application.

Contextual Notes

There are limitations in the discussion regarding the definitions of "proof" and the assumptions underlying the application of the Law of Levers. The conversation reflects a range of interpretations and approaches without resolving these nuances.

avast2
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Does anyone has any documents to prove (law of lever)? Thank you!
 
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Can you give some links to the reading you've been doing on this question? What have you found so far? Can you state the "Law of Levers" that you are referring to?
 
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the angular momentum theorem is proved in textbooks. "law of lever" is a particular case
 
avast2 said:
Summary:: Prove law of lever

Does anyone has any documents to prove (law of lever)? Thank you!
There are far fewer keystrokes involved in clicking on Google than in composing a question on PF. I hope you did that first.
 
berkeman said:
Can you give some links to the reading you've been doing on this question? What have you found so far? Can you state the "Law of Levers" that you are referring to?

I searched some proof online but actually I want to find the proof of the kind of lever (such as Hammers pull the nails)
Thanh you!
I attach pictures ( - the proof that I had ; the kind of lever that I want to search the proof)
 

Attachments

  • Figure 2-2 The lever is balanced.jpg
    Figure 2-2 The lever is balanced.jpg
    6.6 KB · Views: 200
  • leverprf.gif
    leverprf.gif
    3.2 KB · Views: 172
  • bua-nho-dinh-chat-luong.jpg
    bua-nho-dinh-chat-luong.jpg
    20 KB · Views: 202
Last edited:
wrobel said:
the angular momentum theorem is proved in textbooks. "law of lever" is a particular case

Thanks, I will search the book,
 
avast2 said:
I attach pictures ( - the proof that I had ; the kind of lever that I want to search the proof)
What you are showing is not an actual 'proof'. It is an example of where that 'law' applies. The 'Principle of Moments' can be applied (look it up) to situations where there is a fulcrum (pivot) that can be identified and where two or more forces in equilibrium and where they are acting can be identified. See-saws are the easiest examples but the principle can also be applied to a hammer and other wrenches when the geometry of the two forces is not so obvious.
 
avast2 said:
I searched some proof online but actually I want to find the proof of the kind of lever (such as Hammers pull the nails)
Thanh you!
I attach pictures ( - the proof that I had ; the kind of lever that I want to search the proof)
This may help:
https://en.m.wikipedia.org/wiki/Lever

:cool:
 
avast2 said:
I searched some proof online but actually I want to find the proof of the kind of lever (such as Hammers pull the nails)
What exactly do you mean by "proof" or "prove" in this context? In physics, you prove theories/laws with experiments, but people tend not to use the word "prove" much. Do you mean a mathematical proof or derivation?

It's an odd question, which is why you aren't getting much help. Explaining your issue in detail may help us help you.
 
  • #10
Perhaps he means the "proof" of the laws of levers? It's just the equilibrium condition that the net troque must be 0. Take this figure from the corresponding Wikipedia article:

https://en.wikipedia.org/wiki/Lever#/media/File:Lever_Principle_3D.png

You take of course the gray point as the reference point here. Obviously the total torque here is
$$\tau=M_1 a-M_2 b$$
counting the component positive when pointing out of the paper. Thus the equilibrium condition ##\tau=0## tells you that ##M_1 a=M_2 b##.
 

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