Earth's spin produces about a milligee acceleration at the equator, pushing outward and opposing the one gee from the Earth's mass. The Ringworld's 770 miles per second produces one gee, "pushing" outward from the center. Its mass is negligible by comparison; if not spinning, as described (scrith base a few km thick) it would have a tiny fraction of a gee toward the surface from both sides, tapering off and tilting as you approach an edge.
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