Tell me what have I found?

  • Thread starter deda
  • Start date
In summary, the conversation discusses the basic rules of levers, including the 3rd Newton's law and its special case. It also presents equations for calculating force when caused by mass or charge, along with the constants involved. The final equation, sqrt{L * K * (Q1 * M2 - M1 * Q2) / (D1 * D2)} * (D1 + D2), is proposed as a representation of charge-mass interaction at the equilibrium point.
  • #1
deda
185
0
One of the basic rules of lever are:
1) F1 * D1 = F2 * D2
F = force; D=distance; 1 and 2 are for states 1 and 2 or objects 1 and 2;
The 3rd Newton's law is a special case when D1 = -D2.
1) can be transformed into:
2) F1 / D2 = F2 / D1 = (F1 + F2) / (D1 + D2)
2.1) F1 * F2 = sqr(F1 + F2) * D1 * D2 / sqr(D1 + D2)
If F is caused by mass it's
3) F1 = L * M1 and F2 = L * M2
as masses attract.
If F is caused by charge it's
4) F1 = K * Q1 and F2 = - K * Q2
as charges repel.
- K and L are constants;
If both
5) F1 = L * M1 + K * Q1 and F2 = L * M2 - K * Q2

6) (L * M1 + K * Q1) * (L * M2 - K * Q2) = F1 * F2 = sqr(F1 + F2) * D1 * D2 / sqr(D1 + D2)

7) sqrt{L * L * (M1 / D1) * (M2 / D2) - K * K * (Q1 / D1) * (Q2 / D2) + L * K * (Q1 * M2 - M1 * Q2) / (D1 * D2)} * (D1 + D2) = (F1 + F2)

If Q1 = Q2 = 0 then sqrt{L * L * (M1 / D1) * (M2 / D2)} * (D1 + D2)= Gravity force = Total force in the system

If M1 = M2 = 0 then sqrt{- K * K * (Q1 / D1) * (Q2 / D2)} * (D1 + D2)= Coulombian force = Total force in the system

So what represents sqrt{L * K * (Q1 * M2 - M1 * Q2) / (D1 * D2)} * (D1 + D2)?
 
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  • #2
addition

All the above magnitudes are with respect to the equilibrium point.
 
  • #3
Could it be charge - mass interaction?
 

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