QUESTION $3$

$3\mathrm{.}1$ The structure in Figure $3$ is designed so that three cables AC$,$ BD and BE support a rod OAB. Each of the cables is unique. In addition, the rod is pinned to a ball and socket at A$.$ A cylinder of weight $400$ kg is attached to the structure as shown in the illustration. Take note of the coordinate system and the geometry of the cables and the rod.

$3\mathrm{.}1\mathrm{.}1$ Determine the tension in cables AC$,$ and BD and BE$.($Draw a free body diagram$).$

$3\mathrm{.}1\mathrm{.}2$ Determine the $x,y$ and $z$ components of the support reaction force resultant at the ball and socket at $O.$

$(3)$

Figure $3$: Simple structure ui verit inu supporieu dy a vall anu sucket and three cables.

$[15]$