The graphic of |F||D|=1 is hyperbola or ellipse

[dedaNoe]

|F||D|=1 is the simplest form of the law of lever in equilibrium.
If |F|=|x-y| and |D|=x+y then |x^2-y^2|=1 is an real hyperbola.
In this case the interaction is repulsive.
If |F|=x-iy and |D|=x+iy then x^2+y^2=1 is an real ellipse or imaginary hyperbola.
In this case the interaction is attractive.

www.geocities.com/dedaNoe
www.geocities.com/dedaNoe/lever.pdf

 

[HallsofIvy]

Perhaps it would help us understand what in the world you are talking about if you told us what F and D mean!

 

[dedaNoe]

Yeah sure!

F is the force acting in D distance from the center of the lever.
The common version of the law of lever is:
|F||D|=|F_r||D_r|=1
here |F_r| is the sum of the forces from the rest of the system and
|D_r| is the sum of the distances from the rest of the system.

I have more on this on my page:
www.geocities.com/dedaNoe
section "Dynamics of the lever".

 

[Doc Al]

I think we've seen enough.