NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

The structure ABCD given in the following figure is designed to support a finite mass hanging from a cable, DF$,$ attached to the structure at point D:

where x $=2$ m$,$ y $=3\mathrm{.}5$ m$,$ and z $=3\mathrm{.}5$ m

The structure is mounted to the ground by a hinge at B and a roller at C and is also supported by a horizontal cable, AE$,$ attached to the wall. The mass of the object hanging from cable DF is $196$ kg$.$ The tension in the support cable AE is $1500$ N$.$ It is desired to determine the force that each individual member will experience under the given loading conditions in order to decide what type of material to use to build the structure.

Calculate the force in member BC of the truss. $($You must provide an answer before moving to the next part.$)$

The force in member BC of the truss is