How do I solve this physics exercise (Equilibrium)?

[Tapias5000]

Homework Statement

Determine the force required on each cable to sustain the load of 500lb

Relevant Equations

Σfx=0, Σfy=0, Σfz=0

I tried to solve it and I got the following, is it correct?

 

[PhanthomJay]

Looks ok.

Insofar as 2 of the cables are in the horizontal plane, then the 500 pound vertical load must all be carried by the vertical comp of cable CD. And with that 3-4-5 triangle, 3 fourths of it or 375 pounds , must go horizontally to the other 2 cables, and their being symmetric, that’s half again or 187.5 borizontally to each, or cable tension root 10/3 times that. Saves a few lines. At least on this one.

 

[Tapias5000]

Looks ok.

Insofar as 2 of the cables are in the horizontal plane, then the 500 pound vertical load must all be carried by the vertical comp of cable CD. And with that 3-4-5 triangle, 3 fourths of it or 375 pounds , must go horizontally to the other 2 cables, and their being symmetric, that’s half again or 187.5 borizontally to each, or cable tension root 10/3 times that. Saves a few lines. At least on this one.

Are my answers correct?

 

[haruspex]

Are my answers correct?

Near enough. I get 197.64...

 

[Tapias5000]

Near enough. I get 197.64...

ooh... maybe then only decimals are involved in the procedure... well I'll settle for that