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Question

A spool is pulled horizontally by two equal and opposite forces in a frictionless surface as shown in figure. Which of the following statements are correct ?
120408_e2119deef530405b8f0b77a5879bd1b9.png

A
The centre of mass moves towards left.
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B
The centre of mass remains stationary.
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C
The centre of mass moves towards right.
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D
The net torque about the centre of mass of the spool is zero.
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Solution

The correct option is A The centre of mass remains stationary.
The torques produced by the forces should be equal and opposite if the spool is slipping and not rolling. As no frictional force is acting, the center of mass of the spool remains stationary. Thus option B is correct.

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