A bob of mass m suspended by a light string of length L is whirled into a vertical circle as shown in figure. What will be X the trajectory of the particle if the string is cut at
(a) Point B
(b) Point C
(c) Point X

Explanation

(a) If the string is cut at Parabola any point, then velocity of body of mass m is along the tangent Parabola to the circle. Tangent at point B is vertically downward so the trajectory of the particle is the straight line.
(b) Tangent at point C is A Straight line horizontally towards right. So the trajectory of the particle is the parabola.
(c) Tangent at point X makes some angle with the horizontal. Again bob will follow a parabolic path with vertex higher than C.