A one-piece cylinder is shaped as in the Figure, with a core section protruding from the larger drum. The cylinder is free to rotate around the central axis shown in the drawing. A rope wrapped around the drum, of radius 2.70 m, exerts a force F1 to the right on the cylinder. A rope wrapped around the core, of radius 1.67 m, exerts a force F2 downward on the cylinder. Let F1 = 5.00 N, F2 = 6.70 N and the moment of inertia of the system I = 0.132 kg m2.
a) What is in N m the net torque acting on the cylinder about the rotation axis (which is the z axis in the Figure)? Note: CCW rotation is considered positive, i.e. the torque vector points in the positive z direction.
I can't figure out how to include the inertia into the torque equation T= F2r2 -f1r1. F2 is pointing in the counterclockwise direction and f2 is pointing in the clockwise direction.
b) What would be the magnitude of the rotational velocity of the cylinders at t = 9.30 s? Express your answer in rad/s
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