I will post this a second time, I dont think I was clear the first time. I really need some help on this. If we have a a charged object. Then the potential at all points on the obeject MUST be the same. If they are not, then the charged particles at the surface will move until the potential is the same at all points. I think I figured this part out, and I want you to verify if i am correct please. Lets say we are at some point on the surface, in my picture, the blue point, then the potential at that point, due to the potental of all the chrages around the surface should be exactly equal to the potental at any other point. I can choose my other point to be the olive point. Note that this olive point is coincides with the location of one of the charged particles. Then the potental at this point, due to the potentials of all the other charges, should equal to the SAME value as the blue dot. Is this correct? And also, if these two are NOT equal, then things will move until these two values are equal. In fact, the charges will move until this relationship is true between ALL points on the surface. So if we were at the olive point, despite the fact that the chrage at that spot does not contriubute to the potential, since the distance is zero, the sum of the potential due to the other charges will STILL equal the same value as any other spot on the surface, even though we had to neglect one of the charges since its distance is zero. Now, IF the potental is different, then the potential ENERGY is different. And things will move. But becuase they move, they will gain kinetic energy, and once they reach the new potential state, they will continue moving past that point, and exhibit simple harmonic motion. But because the electrons collide with eachother, and with the atoms, it will dampen out. And it will finally reach a point where everything is equal in terms of potential and potential energy.