$4-$ The structure composed of two cables and a plate$-$like connection is to withstand a vertical

load of $3000$ N $.$ The plate with a thickness of $2$ mm has a circular hole with a diameter of

$D.$ The cables and the plate are made of steel with a tensile strength of ${}_{\text{f}\text{a}\text{i}\text{l}}=200$MPa and

a factor of safety S$.$F $=1\mathrm{.}5$ is considered. $($a$)$ Determine the minimum cross$-$sectional area of

the loaded cables. $($b$)$ Calculate the maximum diameter of the hole within the plate to

withstand the load $[2$ Marks$].$