- #1
Northbysouth
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- 2
Homework Statement
If the weight of the boom is negligible compared with the applied 45-kN load, determine the cable tensions T1 and T2 and the force acting at the ball joint at A.
Homework Equations
The Attempt at a Solution
I have successfully calculated the tensions in T1 and T2 to be 71.1512 kN and 60.749kN respectively.
But I've been having a lot of difficulty calculating the forces at point A. My attempt is as follows:
ƩFx = 0
-T2 + T1cos(θx) + Ax
θx = arccos(9/15.81) where 15.81 is the length of the cable T1
Ax = 60.749 - 71.1512cos(55.304)
Ax = 20.2481
ƩFy = 0
θy = arctan (15/9)
θy = 59.036
0 = t1cos(59.036) - 45 + Ay
Ay = 8.393
ƩFz = 0
θz = arctan(10.2956/12) where 10.2956 is the length from A to C.
θz = 40.62857
0 = Az - 71.1512cos(40.62857)
Az = 53.999
A = [itex]\sqrt{}20.2481^2 + 8.393^2 + 53.999^2[/itex]
A = 58.278
It says my answer is wrong and I don't see where I'm going wrong. Help would be greatly appreciated.