The speed of the stone is increased beyond the maximum permissible value, and the string breaks suddenly, which of the following correctly describes the trajectory of the stone after the string breaks:
(a) the stone moves radially outwards,
(b) the stone flies off tangentially from the instant the string breaks,
(c) the stone flies off at an angle with the tangent whose magnitude depends on the speed of the particle.

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Solution

The correct option is (b) the stone flies off tangentially from the instant the string breaks.

When a stone tied to a string is made to move in a circular path, the speed of the stone at any instant will be tangential to the path of the stone. The instant at which the string breaks, the stone will start to move along the tangent in the direction of the velocity at that instant, due to its inertial property.

therefore, option $b$ is correct.

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If, in Exercise 5.21, the speed of the stone is increased beyond the maximum permissible value, and the string breaks suddenly, which of the following correctly describes the trajectory of the stone after the string breaks:
a) the stone moves radially outwards,
b) the stone flies off tangentially from the instant the string breaks,
c) the stone flies off at an angle with the tangent whose magnitude depends on the speed of the particle ?

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