Problem $7$: A cut slope is to be made in saturated undrianed clay. The undrained shear strength, $Cu=26k\frac{N}{m^2}$ and unit weight, $=18\mathrm{.}5k\frac{N}{m^3}.$ The slope makes an angle $=55$ with the horizontal.

$($a$)$ Determine the maximum depth upto which the cut can be made

$(3$ points$)$

$($b$)$ Find the depth of cut if the desired factor of safety is $2\mathrm{.}5$

$(3$ points$)$