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A pulley of radius 2 m is rotated about ...

A pulley of radius 2 m is rotated about its axis by a force `F = (20 t-5 t^2)` newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is `10 kg m^2`, the number of rotations made by the pulley before its direction of motion is reserved, is

A

less than 3

B

more than 3 but less than 6

C

more than 3 but less than 9

D

more than 9

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