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A 2.9-kg 12-cm-radius cylinder, initially at rest, is free to rotate about the axis of the cylinder. A rope of negligible mass is wrapped around it and pulled with a force of 20 N.

(a) Find the magnitude of the torque exerted by the rope.

(b) Find the angular acceleration of the cylinder.

(c) Find the angular velocity of the cylinder at t = 0.90 s.

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