(Solved): 6-58. The space truss is supported by a ball-and-socket joint at \( D \) and short links at \( C \) ...

6-58. The space truss is supported by a ball-and-socket joint at \( D \) and short links at \( C \) and \( E \). Determine the force in each member and state if the members are in tension or compression. Take \( \mathbf{F}_{1}=\{200 \mathbf{i}+300 \mathbf{j}-500 \mathbf{k}\} \mathrm{lb} \) and \( \mathbf{F}_{2}=\{400 \mathbf{j}\} \mathrm{lb} \)