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A bob of mass m is suspended by a light ...

A bob of mass m is suspended by a light string of length L. It is imparted a horizontal velocity `v_(0)` at the lowest point A such that it completes a semi-circular trajectory in the vertical plane with the string becoming slack on reaching the topmost point C, figure, Obtain an expression for (i) `v_(0)` (ii) the speeds at points B and C, (ii) the ration of kinetic energies `(K_(B)//K_(C))` at B and C.
Comment on the nature of the trajectory of the bob after it reahes the poing C.

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A bob of mass m is suspeded by a light string of length L . It is imparted a horizontal velocity v_(0) at the lowest point A such that it completes a semicircular trajectroy in the vertical plane with the string becoming slack only on reaching the topmost point C . Thisis shown in figure .Obtain a expression for (i) v_(0) (ii) the ratio of the kinetic energies (K_(B)/(K_(C ))) at B and C . Comment on the nature of the trajectroy of the bob after it reaches the point C .