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Two concentric rings of uniform density at every point Are placed on a flat surface. Now since the centre of mass of a uniform Ring is its geometrical centre, the distance between the centers of Mass of the two rings are zero. Thus according to newtons law of Gravitation the attraction between themes (or at least tends to be) infinite, Making it impossible to pull one ring radially out from the other. However, as We know, this is not true. Why?

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