One equation for three interactions->

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Discussion Overview

The discussion revolves around a proposed equation that relates forces, masses, and charges through a generalized form of Archimedes' law of lever. Participants explore its implications across different scenarios, including gravitational and electrostatic interactions, while seeking to understand the nature of force in these contexts.

Discussion Character

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

Main Points Raised

  • One participant presents an equation that connects forces, masses, and charges, suggesting it can be tested under specific conditions where one or more variables are set to zero.
  • Another participant questions whether the original equation is simply a restatement of the moments of forces, noting that one case leads to Newton's law of universal gravitation and another to Coulomb's law of static electricity.
  • A different participant interprets the formulation as suggesting a "square of force" that relates to the products of masses or charges, expressing interest in how this concept might relate to their own research.
  • There is a query about whether G^2 refers to the square of the gravitational constant, with a follow-up discussion on its implications as a force-mass ratio.
  • Participants discuss the feasibility of conducting experiments to determine the ratio of force over mass, with some expressing that the actual size of the ratio may not be critical as long as it remains consistent within a closed system.

Areas of Agreement / Disagreement

Participants express various interpretations of the proposed equation and its implications, leading to multiple competing views. The discussion remains unresolved regarding the exact nature and significance of the formulations presented.

Contextual Notes

Participants reference specific cases and their implications without fully resolving the mathematical steps or assumptions involved in the proposed equation.

Who May Find This Useful

Readers interested in the relationships between force, mass, and charge, as well as those exploring foundational concepts in physics, may find this discussion relevant.

deda
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In most general sense the Archimedes' law of lever could be written this way:

[tex]\frac{F_1}{F_2}=\frac{GM_1+kQ_1}{GM_2-kQ_2}=\frac{D_2}{D_1}[/tex]
-------------------------------------------------
F=force
Q=charge
M=mass
D=equi.distance
G and k are some proportionales

Consequentially
-------------------------------------------------
[tex]\frac{F_1}{D_2}=\frac{F_2}{D_1}=\sqrt{\frac{G^2M_1M_2}{D_1D_2}-\frac{k^2Q_1Q_2}{D_1D_2}+kG\frac{M_2Q_1-M_1Q_2}{D_1D_2}}[/tex]

Try this equation for this three cases:
1)[tex]Q_1=Q_2=0[/tex]
2)[tex]M_1=M_2=0[/tex]
3)[tex]M_1=Q_2=0[/tex]
and tell me what they mean!

No matter how right my physics is it will not see day light.
That makes me really blue.:frown:
 
Physics news on Phys.org
well come on...*...any body got some thing to post?
 
Moment of Force?

Aren't you just stating the moments of forces?

One of your case leads to Newton's law of universal gravitation.

another leads to Coulomb's law of static electricity.

I am still figuring out the third case.
 
Square of Force

After further analyses, these are what I think your formulations are:

You are claiming that there exist in the physical laws of nature, a square of force, that is proportional to the product of two different masses or the product of two different electric charges.

F^2=Gm1m2 and/or F^2=kq1q2

In my research I came across [tex]F^2[/tex]. But I could not understand what it means. Now with your ideas, I will try them to see if they will help me explain the [tex]F^2[/tex] in my research. Thanks.
 


Originally posted by Antonio Lao
After further analyses, these are what I think your formulations are:

You are claiming that there exist in the physical laws of nature, a square of force, that is proportional to the product of two different masses or the product of two different electric charges.

F^2=Gm1m2 and/or F^2=kq1q2

In my research I came across [tex]F^2[/tex]. But I could not understand what it means. Now with your ideas, I will try them to see if they will help me explain the [tex]F^2[/tex] in my research. Thanks.
first in the 1st case
F1F2=G2M1M2
not as you wrote F^2=Gm1m2.
it's because:
F1=GM1
and
F2=GM2
 
G Squared?

Is G^2 the square of the gravitational constant?
square of 6.67x10^(-8) dyne cm^2/gm^2?
 
Last edited:


Originally posted by Antonio Lao
Is G^2 the square of the gravitational constant?
square of 6.67x10^(-8) dyne cm^2/gm^2?
It's simply a force-mass ratio.
Some N over some kg.
 
Can We Find This Ratio?

Can we do an experiment to find this ratio of force over mass?
 
probably...
yes.

but any way its actual size doesn't really matter as long as you keep it same for every force-mass pair in the closed system.
 
  • #10
Thanks. Now I can sleep peacefully.
 
  • #11
dedaNoe,

Can you take a look at Antonio's thread "Is Simultaneity an Illusion?" page two?

Your force/mass ratio might be what I need, and am having trouble with.

thanks!

LPF
 

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