A one-piece cylinder has a core section protruding from the larger drum and is f

Question

A one-piece cylinder has a core section protruding from the larger drum and is free to rotate around its central axis. A rope wrapped around the drum of radius 1.08 m exerts a force of 3.21 N to the right on the cylinder. A rope wrapped around the core of radius 0.53 m exerts a force of 7.19 N downward on the cylinder.

A one-piece cylinder has a core section protruding from the larger drum and is free to rotate around its central axis. A rope wrapped around the drum of radius 1.08 m exerts a force of 3.21 N to the right on the cylinder. A rope wrapped around the core of radius 0.53 m exerts a force of 7.19 N downward on the cylinder. What is the magnitude of the net torque acting on the cylinder about the rotation axis? Answer in units of N-m.

Explanation / Answer

The torques are in the same ( clockwise ) direction and so just add

1.08 * 3.21 + 0.53 * 7.19 = 7.28 Nm

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