A $6"$x$8"$ wood column $($use actual $5\mathrm{.}5"7\mathrm{.}5"$ dimensions$)$ made of Redwood is loaded in compression $($parallel to the grain$)$ and is $15ft$ tall $.$

a$.$ Determine the maximum force the column can support due to crushing. $($Hint: use Sc value from the table.$)$

b$.$ Determine the maximum force the column can support due to buckling.

c$.$ Which failure mode $($crushing or buckling$)$ governs the design of the column?