Find tension in cables with forces acting on them.

[proctortom]

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??

 

[PhanthomJay]

image not attached.