$(20$ points$)$ The C $-$clamp shown below has rectangular cross$-$section $A-$A that is $33$ mm tall by $9$ mm wide and the material is class $50$ gray cast iron. See Section $4\mathrm{.}9$ in Norton for help with curved beams. Ignore stress concentration factors. If the clamping force is $2\mathrm{.}2$ kN $,$ a$)(10$ points$)$ Determine maximum tensile stress in MPa.

b$)(10$ points$)$ Determine the factor of safety.