a$)$ The idealized structure depicted in Figure $1$ features a lightweight, translucent roof

system covering an open$-$air concert stage, spanning $50$ meters from support A to

support C$.$ Evaluate the reaction forces at supports A and $C$ of the cable structure,

considering the negligible weight of the cable. Additionally, propose a suitable

method to calculate the sag, represented as $,$ in the cable at the point where a $50kN$

lighting rig is attached, and assess the potential tension in the cable along its entire

length. Considering a snow load of $2k\frac{N}{m}$ across the initial $10$ meters of the cable

$($from the left$)$ and $1k\frac{N}{m}$ across the subsequent $10$ meters, reflecting an uneven

distribution due to prevailing winds during a snowstorm, assess the potential tension

in the cable if the total length of the cable is $20$ meters.

$($C$5)[$CO$2-$PO$5](10$ Marks$)$

Figure $1$