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A thin circular loop of radius R rotate...

A thin circular loop of radius R rotates about its vertical diameter with an angular frequency `omega` . Show that a small bead on the wire loop remains at its lowermost point for `omegalesqrt(g//R)` . What is the angle made by the radius vector joining the centre to bead with the vertical downward direction for `omega=sqrt(2g//R)` ? Neglect friction .

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