- #1
taxidriverhk
- 11
- 0
Homework Statement
[Ans: FA = -206i + 188j lb, T = 131 lb]
Homework Equations
Since it's assumed that the system is in equilibrium, so I assume that ΣF=0 and ΣM=0
The Attempt at a Solution
I tried to draw a free-body diagram for the system, and set up three equations below:
(I don't know the direction of FA yet, so I assume that both components are in positive direction)
ΣFx = FAx + Tcos45° + Tcos30° = 0
ΣFy = FAy - 150 - W + Tsin45° + Tsin30° = 0
ΣMz [Moment centered at A] = (16)(-150 - W) + (40)(Tsin30° + Tsin45°) + (6)(Tcos30° + Tcos45°) = 0
When I solved the third equation to find tension T, it didn't give me the right answer, I am not sure which part I did wrong, maybe I missed some forces on the free-body diagram, so I made a wrong equation of ΣMz?
Any hints or approaches are much appreciated.