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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