The calculation is:
According to the diagram (next delivery)
TCE = TCE (CE / CE) = TCE(0.134 i + 0.500j + 0.0 k)/ (0.1342 + 0.5002 + 0.002 )1/2
TCE = 0.259TCE i + 0.966TCE j + 0.0 TCE k
W = -300N j
A = Ax i + Ay j + 0.0 k
B = Bx i + By j + 0.0 k
Forming the ecuations:
(I)...ΣFx=0: Ax + Bx + 0.259TCE= 0
(II)...ΣFy=0: Ay + By + 0.966TCE - 300 = 0
(III)...ΣFz =0: Az = 0
ΣMc = 0: (-0.5 i + 0.0j -0.4 k)X(-300j) + (-1.0 i)X(Axi + Ay) +
+ (-1.0 i + 0.0j -0.8 k)X(Bx i + By j) =
= 0.5(300)k - 0.4(300)i + (-Ay k+Az j)+ (-0.8Bx j - By k + 0.8By i)
separating:
(IV)...ΣMx = 0: -0.4(300) + 0.8 By = 0
(V)...ΣMy = 0: Az -0.8 Bx = 0
(VI)...ΣMz = 0: 0.50(300) - Ay - By = 0
Solving: By = 150N, Ay = 0, TCE = 155.3N, Bx = 0, Ax = -40.2N (on the contrary )