A cylinder of 2.8 kg, 12 cm radius, primarily at rest, is free to rotate around the axis of the cylinder. A rope of negligible mass is wrapped around it and pulled having a force of 15 N.
(i) Determine the magnitude of the torque applied by the rope.
(ii) Determine the angular acceleration of the cylinder.
(iii) Determine the angular velocity of the cylinder at t = 0.70 s.