How Is Tension Distributed in a Scaffold Supported by Wires with Uneven Loads?

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In the discussion about tension distribution in a scaffold supported by wires with uneven loads, a 200-N scaffold is supported by two wires, with a 650-N box placed 3.0m from the left end of an 18m scaffold. The user is struggling to calculate the tension in each wire, as their attempts yield results that do not match the provided answer choices. The suggestion is to analyze the torques about the left end, ensuring that clockwise torques are considered negative and counterclockwise torques positive. This approach will help in correctly calculating the tension in the right wire, which is essential for solving the problem accurately. Understanding torque balance is crucial for determining the correct tension values in this scenario.
cheryl morgan
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A 200-N scaffold is held up by a wire at each end. The scaffold is 18m long. A 650-N box sits 3.0m from the left end. What is the temsion in each wire?

I have worked this problem several times but none of my answers are close to the choices I have on my paper. I tried it like this FT= -200(9) + 650(3) this is for the right side and FT=200(9)+ 15(650) for the left but it is not correct.

The choices for the answers are A)left wire=640N;right wire+210N B)left wire+195N; right wire=975N C) Left wire=295N;right wire=1000N D)left wire=520N; right wore=130N.

Mine do not come close to any of the answers. What have I done wrong. I greatly appreciate your help on this problem. Thank you
 
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cheryl morgan said:
I tried it like this FT= -200(9) + 650(3) this is for the right side
Redo this. What are the torques about the left end? They must add to what? (Be sure to call clockwise torques negative and counterclockwise torques positive.) That should allow you to solve for the tension on the right end.
 
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