Finding the Net Torque on a Rotating Cylinder

AI Thread Summary
The discussion revolves around calculating the net torque on a rotating cylinder subjected to two forces. The first force of 4.41 N acts on a drum with a radius of 1.14 m, while the second force of 8.94 N acts downward on a core with a radius of 0.54 m. The user attempts to find the torques by multiplying the radius by the respective forces and subtracting the clockwise torque from the counterclockwise torque. However, the calculations yield incorrect results, leading to confusion about the correct approach. Clarification on the torque equations and proper application of the forces is needed to resolve the misunderstanding.
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Homework Statement



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 1.14 m exerts a force of 4.41 N to the right on the cylinder. A rope wrapped around the core of radius 0.54 m exerts a force of 8.94 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.

Homework Equations



Torque(net)=Torque 1-Toque 2
Torque=rFsin(phi)

The Attempt at a Solution


I attempted to find the 2 Torques by multiplying the radius by the given forces. I then subtracted the negative force going clockwise (F1) from the positive force going counter clockwise.
 
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I have the same problem. The one I have is that r = 1.18m, F = 3.33 N for T1, I got -(3.33)(1.18) = -3.9294 (CW = negative). My T2 is (0.42)(6.7) = 2.814. And I do T1 + T2 = R2T2 - R1T1 = -1.1154. And I got it wrong. I also tried to square T1 and T2 since it says magnitude, but it doesn't work either. PLEASE HELP!
 
I am still completely lost on this problem.
 
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