Choose the only incorrect statement from the following:

The position of the centre of mass of a system of particles does not depend upon the internal forces between particles.

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The centre of mass of a solid may lie outside the body of the solid.

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A body tied to a string is whirled in a circle with a uniform speed. If the string is suddenly cut, the angular momentum of the body will not change from its initial value.

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The angular momentum of a comet revolving around a massive star, remains constant over the centire orbit.

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Solution

The correct option is C A body tied to a string is whirled in a circle with a uniform speed. If the string is suddenly cut, the angular momentum of the body will not change from its initial value.
The only incorrect statement is (c). Since no external torque acts on the body even after the string is cut, the angular momentum will remain unchanged.

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Similar questions

A body tied with string revolves uniformly in a circle. How does the angular momentum of the body change from its initial value if the string is cut suddenly?

Q. A particle revolves uniformly along a circle on a smooth horizontal table by means of a string connected to it. Does angular momentum of the particle change from its initial value if string is cut suddenly? What is the value of angular momentum?

Q. a body of mass 500g tied to a string of length of 1m is revolved in the vertical circle with a constant speed.find the minimum speed at which there will not be any slack on the string?

Q. A stone of mass

m

, tied to the end of a string, is whirled around in a horizontal circle (neglect the force due to gravity). The length of the string is reduced gradually keeping the angular momentum of the stone about the centre of the circle constant. Then the tension in the string is given by

T - A r^{n}

, where

A

is constant,

r

is the instantaneous radius of the circle and

n = . . . . . . . . . . . .

Q. Choose the correct statement.
(A) The position of centre of mass of a system is dependent on the choice of co-ordinate system.
(B) Newton's second law of motion is applicable to the centre of mass of the system.
(C) When no external force acts on a body, the acceleration of centre of mass is zero.
(D) Internal forces can change the state of centre of mass.

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