Two Rings Attracting

This question was inspired by a suggestion from Legend of Physics

There are two identical uniform circular rings of radius 1 1 and mass 2 π 2 \pi . The rings are parallel and coaxial, and they are separated by a distance of 1 1 .

What is the magnitude of the gravitational force exerted by one ring on the other?

Note: Universal gravitational constant G = 1 G = 1


The answer is 13.25.

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