A scissors truss supports three forces at joints $B,C,$ and $D$ as shown in the figure below. The forces have

magnitudes $F_1=40$kip,$F_2=35$kip, and $F_3=20$kip. The truss is held in equilibrium by a pin at point

A and a roller at point $E.$ Note that sides ABC,CDE,AFD, and BFE are straight lines, and member CF is

vertical. Joint $F$ lies $s=30ft$ to the right and $h=10ft$ above joint $A,$ and joint $C$ lies $h=10ft$ above

joint F$.$ Use the method of joints to determine the force in each member of the truss, and indicate

whether they are in tension or compression.

Note: Express tension forces as positive $(+)$ and compression forces as negative $(-).$

Find: P$($ab$),$ P$($af$),$P$($bc$),$P$($bf$),$P$($cd$),$P$($cf$),$P$($de$),$P$($df$),$P$($ef$)$