A mass `m` is moving inside a vertical circular track of radius R. There is no friction. Find the minimum speed `(v_(min))` at which `m` will round the circle without losing contact with the track. Suppose `v = 0.775 v_(min)`. The mass will move up to certain point P where it will lose contact with the track. Find the angular heightr of the track.

Answer

`sqrt(5)g, sin^(-1) 1//3`