Problem $1$: The bar ABD is supported by ball and socket joint at A $.$ The joint at D is like ball and socket, except that it is designed to allow displacement in the $+$ or $-$x direction. The force F is $2$ kN applied in the $-$j direction. Determine the tension in cable $CE$ and the reaction forces at A and D $.$

Ans: $A_x=5\mathrm{.}23kN,A_y=0,A_z=-1\mathrm{.}46kN,D_y=-1\mathrm{.}08kN,D_z=5\mathrm{.}46kN$