# Minimum Velocity Required to move in a circle!

A small bead of mass $$m$$ can move on a smooth circular wire (radius $$R$$) under the action of a force $$F =\frac{Km}{r^2}$$ only directed (denote constant $$r$$ as the position of bead from $$P$$ and $$K$$) towards a point $$P$$ with in the circle at a distance $$\frac{R}{2}$$ from the center.

What should be the minimum velocity of bead at the point of the wire nearest the center of force $$(P)$$ so that bead will complete the circle?

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