How Do You Calculate Tension in Ropes Supporting a Painter on a Board?

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To calculate the tension in the ropes supporting a painter on a board, consider the forces acting in both the x and y directions, ensuring they sum to zero. The mass of the painter (70 kg) and the board (15 kg) must be included in the calculations. Torque plays a crucial role in maintaining equilibrium, particularly since the painter's position affects the tension distribution between the two ropes. The tension in the rope closer to the painter will be greater due to the imbalance created by his weight. Understanding these principles is essential for accurately determining the tensions in the ropes.
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Homework Statement


Basically, this is the problem,
A 70 kg painter is painting the wall of a building. He stands on a horizontal board of length 6.4 m and mass 15 kg, suspended from vertical ropes attached to each end. If the painter stands 1.2 m from one end of the board, what would the tensions in the ropes be?


Homework Equations


I know that the sum of all forces in the x direction must add to zero, as well as the sum of the forces in the y direction.


The Attempt at a Solution


I tried to, using a coordinate system, account for the mass of the board, as well as the human, but i simply do not know how to calulate the Tension of the ropes, both the rope far away and the rope close to the man. I do know that the tension closer to the man would be greater. Any help please?
 
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Can you show the equations you have set up for forces in the y direction?

Also, you will need to consider torque to solve this problem.
 
Try thinking of it this way. If tou were walking along a see saw starting at the center--it wouldn't take long before you tipped over. Now imagine you have people on each end pushing if needed to maintain equilibrium. Who has to push, and who should pull?

Hint: Only one has to push. Tension is different--you cannot push, only pull. So any tendency to tip over has to be canceled by the difference in pulls, the sum of the pulls must equal the overall weight.

Edit: sorry redbelly, was working on mine, when yours was posted.
 
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