$(25$ points$)3)$ A stock spring is shown in Figure below. It is made from $0\mathrm{.}072-$in$-$diameter music wire and has $4\frac{1}{2}$ body turns with straight torsion ends. The coil outside diameter is $(19/32)$ in$.$

Static Force F is $5$ lbf $.$ Determine the Static factor of safety.

If the spring is cycling between maximum loading of $5$ lbf to a minimum loading of $1$ lbf determine the Fatigue factor of safety based on the Gerber Theory.