Q$3)[8$ points$]$ An overhead Transmission line $2$cm diameter and $300$m span. The Tension in the conductor is $40$ KN $,$ the conductor weight is $1K\frac{g}{m}.$ find the following:

a$.$ sag with no ice covering.

b$.$ find the allowable ice covering $($ thickness of ice$),$ If the vertical allowable sag is $5$ m $,$ when the horizontal wind pressure is $380\frac{N}{m^2}$ and the conductor covered with ice with weight $8920\frac{N}{m^3}$