A flow net under a concrete dam is drawn. $($a$)$ Calculate and plot the water pressure distribution along the base of the dam. $($b$)$ Compute the resultant uplift force against the base of the dam and its point of application. $($c$)$ Compute the factor of safety against "boiling". $($d$)$ Compute the total discharge per unit length along the wall. The coefficient of permeability for the soil is $\backslash (8\backslash$times $10^\{-4\}\backslash$mathrm$\{$~cm$\}/\backslash$mathrm$\{$s$\}\backslash ).$