The crate of weight W is suspended from the cable system shown. Determine the force in each

Question:

The crate of weight W is suspended from the cable system shown. Determine the force in each segment of the cable, i.e., AB, AC, CD, CE, and CF. Hint: First analyze the equilibrium of point A, then using the result for AC, analyze the equilibrium of point C.
Units Used:
kip = 1000 lb

Given:
W = 500 lb
a = 10 ft
b = 24 ft
c = 24 ft
d = 7 ft
e = 7 ft
θ1 = 20 deg
θ2 = 35 deg