Assuming $H=4\mathrm{.}5m,=20k\frac{N}{m^3},{}^{\text{'}}=36,$ and $=18,$ calculate the distribution of earth pressure, and the magnitude and location of the resultant force per unit width of the wall for the following cases:

a$)$ Using Rankine's theory for the active condition and log spiral failure surface $($by Caquot and Kerisel$)$ for passive condition.

b$)$ Using Coulomb's theory for both active and passive condition.

c$)$ Comment on the previous results. Which solution will you choose for active and passive condition, respectively?