$($a$)$ For the wall dimensions given, check the overturning and sliding stabilities of the gravity wall given. Assume a cohesionless bakfill sloping at $10$ to horizontal, and a wall back at $70$ with the horizontal, and wall friction angle of $20.$

$($b$)$What will be the increment in lateral earth forces when dynamic pressures are effective in a seismic zone? $($Assume $k_v=0\mathrm{.}3)$

$($c$)$ Show the point of application of the lateral earth forces.

$($d$)$ What will be the factor of safety against sliding in seismic condition?

Base soil:

$=20k\frac{N}{m^3}$

${}^{\text{'}}=35$

$c=30$kPa