Finding the weight supported and at what angle

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The discussion revolves around calculating the maximum weight a crate can support using a pulley system with two ropes, BCA and CD, each having a maximum tensile strength of 125. The angle Phi of rope segment BC with the floor is given as 55 degrees, while the angle theta for rope segment CD needs to be determined for equilibrium. Participants suggest breaking down the forces into components and using an x-y coordinate system to analyze the forces at play. The challenge lies in incorporating the maximum tensile strength into the calculations effectively. A clear understanding of vector sums and equilibrium conditions is essential for solving the problem.
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Homework Statement


http://session.masteringengineering.com/problemAsset/1119613/27/1119613_001.jpg

Rope BCA passes through a pulley at point C and supports a crate at point A. Rope segment CD supports the pulley and is attached to an eye anchor embedded in a wall. Rope segment BC creates an angle of Phi = 55.0 with the floor and rope segment CD creates an angle theta with the horizontal. If both ropes BCA and CD can support a maximum tensile force Tmax = 125 , what is the maximum weight Wmax of the crate that the system can support? What is the angle theta required for equilibrium?


Homework Equations


Not sure

The Attempt at a Solution


I think I need to break it down in the components and go from there, but I am not sure how to factor in the max tensile strength. I would like to use and x-y coordinate system starting at the pulley with positive x going left and positive y going up.
 
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Vector sum of AC and BC equal to CD.
|AC|=|BC|
 
Last edited:
Sorry, but could you give me a little more direction?
 
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