Problem $6$: The distribution of soil loading on the bottom of a concrete slab is shown. Replace this loading with an equivalent system.

$6\mathrm{.}1)$ Determine the magnitude and direction of the equivalent resultant force on the slab due to the soil loading.

$6\mathrm{.}2)$ Determine the location $\stackrel{}{x}$ of the resultant force, measured from point $O,$ for the system to be equivalent to the original.