A crate is supported by a structure consisting of two cables, $AB$ and $AC,$ and a strut $AD.$ The tension developed in each cable cannot exceed the tensile capacity of

$447N,$ determine the largest weight of the crate that can be supported. Also, determine the force developed along strut AD$.($Hint: Assume that the tension in one of

the cables, like AC$,$ reaches the tensile capacity; solve for all forces and check if the tension in the other cable is less than the tensile capacity. If this condition is not

satisfied, start with the tensile capacity assumption for the other cable and repeat the solution$).$

$F_{AD}$ :

$N($Use positive sign if it is tension; Use negative sign if it is compression$)$

$W$ :