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

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SUMMARY

The discussion centers on the "Law of Levers," specifically seeking documents and proofs related to its application, such as in the use of hammers. Participants clarify that the law is a specific case of the broader "Principle of Moments," which applies to systems in equilibrium. They emphasize that proving the law involves understanding the equilibrium condition where the net torque is zero, and they provide links to relevant resources, including Wikipedia articles on levers and the principle of virtual work.

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  • Understanding of the "Law of Levers" and its applications.
  • Familiarity with the "Principle of Moments" in physics.
  • Basic knowledge of torque and equilibrium conditions.
  • Ability to interpret mathematical proofs and derivations in physics.
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  • Research the "Principle of Moments" and its applications in various mechanical systems.
  • Study the concept of torque and its role in equilibrium conditions.
  • Explore the principle of virtual work and its implications in physics.
  • Review mathematical proofs related to the "Law of Levers" for deeper understanding.
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Students of physics, educators teaching mechanics, engineers involved in design and analysis of lever systems, and anyone interested in the practical applications of the Law of Levers.

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