Finding the weight supported and at what angle

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SUMMARY

The discussion focuses on calculating the maximum weight supported by a pulley system involving ropes BCA and CD, with a maximum tensile force (Tmax) of 125 N. The angle Phi is given as 55.0 degrees, and the goal is to determine the maximum weight (Wmax) of the crate and the angle theta for equilibrium. Participants emphasize the need to analyze the forces in both x and y components to solve the problem effectively.

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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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