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Jun29-06, 01:41 AM
You said " uniform vertical gravitational field (g)". This is key.
Surprisingly enough, if one calculates the forces applied to the cube and to the sphere thru volume integration, one finds that the forces have the application point in the symmetry centers of the two respective objects, directed perpendicular to the surfaces of the two balance platters.
This is something that I believe was taught in 9-th grade physics. So the problem reduces to a simple algebraic equation in a and r.
What does this have to do with relativity?
You are not able to answer without to offend? In accordance with Mermin's statement the potential energies of the cube and of the sphere are different!
sine ira et studio