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

A bob of mass m suspended by a light string of length L is whirled int

1.	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
Answer» Solution :(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.