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A thin circular loop of radius R rotates...

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 `omega` `le` `sqrt g / R`. What is the angle made by the radius vector joining the centre to the bead with the vertical downward direction for `omega` = `sqrt 2g / R` ? Neglect friction.

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