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  • 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 the trajectory of the particle if the string is cut at (a) Point B?

A bob of mass m suspended by a light string of length L is whirled into a vertical circle as shown in Fig. 6.11. What will be the trajectory of the particle if the string is cut at

(a) Point B?
(b) Point C?
(c) Point X?

Answers (1)

The centripetal force is provided by the string which moves the object in a circular motion. The tension of the string is balanced by the tangential velocity of the particle. When the string is cut, the centripetal force becomes zero. So, the bob now moves under the influence of gravitational force in the direction of tangential velocity.

a) string cut off at B: tangential velocity in the downward direction, bob moves along the vertical path under the influence of gravity.

b) string cut off at c: bob has a horizontal component of velocity, it moves In half parabolic path.

c) string cut off at x: the component of velocity makes angle θ with the horizontal, bob reaches to a certain height and then adopts a parabolic path.

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