Problem $4(10$ pts $-$ extra credit$)$

For the truss in Fig. $4($with $x=$hat$(e{)}_1,y=$hat$(e{)}_2,$ and $z=$hat$(e{)}_3).$ Calculate:

$($a$)$ The support reaction forces at $A,B,$ and $C.$ Express the solution in the frame $E\{hat(e{)}_1,$hat$(e{)}_2,$hat$(e{)}_3\}.$ Note that

$B$ and $C$ are connected to the ground and wall by means of rigid struts but they are not part of the

truss. The truss has five members and four pins. $(5$ pts$)$

$($b$)$ The forces $($magnitude$)$ in all the members of the truss. Specify whether they are in tension or compres$-$

sion. $(5$ pts$)$

Fig. $4$