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

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The discussion revolves around seeking documents and proofs related to the Law of Levers, particularly in practical applications like using hammers. Participants emphasize the need for clarity on what constitutes "proof," suggesting that it may refer to mathematical derivations or experimental validations rather than traditional proofs. The Principle of Moments is highlighted as relevant, with examples like see-saws and hammers illustrating the concept. Links to Wikipedia articles are provided for further reading on the topic, including the equilibrium condition of torque. Overall, the conversation aims to clarify and deepen understanding of the Law of Levers and its applications.
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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)
 

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  • Figure 2-2 The lever is balanced.jpg
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  • bua-nho-dinh-chat-luong.jpg
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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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