Find tension in cables with forces acting on them.

AI Thread Summary
To determine the tension in cables AC and BC due to a 300 N weight, the system is analyzed assuming a frictionless pulley at point D. The total horizontal force at point C is calculated to be 289.778 N, while the total vertical force is 77.646 N. The initial approach involved halving the horizontal force to find tensions in the cable sections, but this method raises concerns about its accuracy. Further clarification and guidance on resolving the forces acting on the cables is sought. Understanding the correct application of force balance and trigonometric functions is essential for solving the problem accurately.
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Homework Statement



LOOK AT ATTACHED IMAGE FOR DIAGRAM OF QUESTION

Assuming the pulley at D to be frictionless, determine the force values in cable members AC and BC due to the 300 N weight force for the system depicted in Fig. 3.


Homework Equations



F=ma (or F=mg)
Sin cos and tan functions

Not sure what else would be relevant here.


The Attempt at a Solution



I made the tension of the wire with the weight attached to be 300N (the force of the weight). From this i found:

Total horizontal force at C = 289.778N
Total vertical force at C = 77.646N

At first I thought that if i halved the horizontal force (289.778/2 = 144.889) then I could use that to find each section separately, but I have a gut feeling that it won't work that way... Help??
 
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