Problem $1(6$ points$)$ For the given retaining wall at a normally consolidated site as shown in Figure $1$ below, determine: a$)$ Total lateral earth force on the wall at rest $($no wall movement$),P_0(1$ point$)$; b$)$ Total lateral earth force on the wall for Rankine active case $($wall is moving away from the soil$),P_a(1$ point$)$; c$)$ Total lateral earth force on the wall for Rankine passive case $($wall is moving toward the soil$),$ point$)$; d $)$ The locations of the resultants $P_0,P_a,$ and $P_p(3$ points$)$

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