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View Full Version : The graphic of |F||D|=1 is hyperbola or ellipse


dedaNoe
Sep2-04, 06:45 AM
|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
Sep2-04, 08:18 AM
Perhaps it would help us understand what in the world you are talking about if you told us what F and D mean!

dedaNoe
Sep3-04, 06:29 AM
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
Sep3-04, 09:08 AM
I think we've seen enough.