condition to complete the circular trackwhat should be theminimun velocity to be given at bottom

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If the velocity of the particle is in the range of √2Rg and √5Rg it leaves the circle performing a parabola ||If the velocity of the particle more than or equal to √5Rg it completes the circular path||If the velocity the particle is less than or equal to √2Rg it performs oscillation

The min. velocity for completing the circle is √5Rg, where R is the distance from the centre of the circle at the bottom. The tension in the string should be greater then 1 at the top and velocity of the blog is greater than or equal to the √1Rg at the top of the circle.