II$.$ PROBLEMS

$(28$ points$)$ Solve for the reactions on the tailgate and determine the internal loadings that act on the section at point F from O$)$ if the crate weighs $120$ lb and the tailgate weighs $50$ lb $.$ Be sure to clearly indicate the direction of your assigned internal loadings in your FBD$.$

$3$ Points Extra Credit: To the nearest $\frac{1}{{16}^{\text{'}\text{'}}},$ determine the diameter of the single$-$sheared pin $A$ if the failure shear stress is $36$ksi and has a $2\mathrm{.}5$ factor of safety.