Problem $3$:

Force $F$ is applied to member $AB$ and has coordinate direction angles of $=120$ and $=35.$ The connection at point $B$ is a smooth collar which allows translation and rotation in the direction of the line $CD.$ The connection at point $A$ is also a smooth collar however, member $AB$ is connected to this collar with a ball and socket joint. Determine the $x,y,$ and $z$ components of all the reactions at points A and $B.$