Ring AROUND the Earth?

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This video is about what would happen if we built a giant ring around earth – what would happen to the ring, that is. Would if fall? Collapse? Start spinning?

REFERENCES:
Why Isn’t It Faster to Fly West? Video https://www.youtube.com/watch?v=3gNkgj9h2oM
Physics Girl Quarter Shrinking: https://www.youtube.com/watch?v=d2TDXKfBaMQ
Symmetry Breaking: https://en.wikipedia.org/wiki/Symmetry_breaking
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https://www.youtube.com/watch?v=4xSPlQUejd8