Problem $1.$ STATICS

Two cables are attached to point A in order to

support member AD$.$ A force of $4$ kip is also

acting on point $A$ in the $y-z$ plane as shown.

Assume the compressive force in member AD is

directed along the $y-$axis. A free$-$body diagram

is required for full credit.

a$)$ Write forces vec$(F_{AB})$ and vec$(F_{AC})$ as Cartesian

vectors

b$)$ Determine the tension in each of the

cables and the force in member AD$.$