Q$3.$ A $7-$m boom is held by a ball and socket at A and by two cables EBF and $DC$; cable EBF passes

around a frictionless hook at $B.$ A load is acting downward and having a magnitude of $3.xkN,$ where

$x$ is the last digit of your student number $($e$.$g$.$ the load is $3\mathrm{.}8$ kN if your number is $12345678$ A $).($a$)$

Draw free$-$body diagram of the boom. $($b$)$ Determine the tensions in the two cables.

Q$4.$ Determine the force and state the nature $($tension or compression$)$ in member $AC,BC,$ and

$BD$ of the truss shown.

$[10$ marks$]$