Note: Include FBD diagrams to solve each problem. Ensure that your work is clearly labeled and legible.

Q$\mathrm{.}1)$ A crate weighing $200$ lb $.$ is hanging from the space truss shown below. Members $AB,BD,$ and $AD$ form an equilateral triangle ABD $($all angles are $60$ degrees$).$ Member $AB$ is parallel to $x-$axis and member $DC$ is parallel to $y-$axis. Determine the force in each member of the truss, and state if the member is in tension or compression.