As I said this problem dates back to Newton so lets look at the solution to it under Newton + fictional forces (Mach space)

It was done by no less than Richard Feynman and is a classic masterpiece called the wobbling plate solution

http://www.stuleja.org/vscience/osp/contents/physicsClub/feynmanPlate.html#applet

(http://www.stuleja.org/vscience/osp/contents/physicsClub/sol.pdf)

I leave you to walk thru the proof if you want.

Now I understand you are exchanging energy but the energy in the plate oscillates wildly between alot of potential energy versus alot of kinetic energy so somehow the exchanges would be required to have a law to know how much of each and here in lies your problem with those sorts of real world motions in your finite world.


I believe in "Evil, Bad, Ungodly fantasy science and maths", so I am undoubtedly wrong to you.