Problem $1(10$ pts$)$

Consider Fig. $1$ and:

$($a$)$ Draw the free$-$body diagram of the whole frame. $(2$ pts$)$

$($b$)$ Calculate the reaction forces at A and $C.$ Express the results in the base $E\{hat(e{)}_1,$hat$(e{)}_2\}.(3$ pts$)$

$($c$)$ Draw the free$-$body diagram for each member $(AB$ and $BC)[$exploded view$].(2$ pts$)$

$($d$)$ Calculate the forces at $B.$ Express them in the member $AB$ and using the reference frame $E\{hat(e{)}_1,$hat$(e{)}_2\}.(3$ pts$)$