Problem $1.$ For the cantilever retaining wall shown in Figure $1,$ let the following data be given: Wall dimensions: $H=8m,x_1=0\mathrm{.}4m,x_2=0\mathrm{.}6m,x_3=1\mathrm{.}5m,x_4=3\mathrm{.}5m,x_5=0\mathrm{.}96m,D=1\mathrm{.}75m,=10$

Soil properties: ${}_1=16\mathrm{.}8k\frac{N}{m^3},\frac{O}{{?}_1^{\text{'}}}=36,{}_2=17\mathrm{.}6k\frac{N}{m^3},\frac{O}{{?}_2^{\text{'}}}=28,c_2^{\text{'}}=30k\frac{N}{m^2}$ Calculate the factor of safety with respect to overturning, sliding, and bearing capacity $($You should use Rankine theory for this problem.$)$

Figure $1$