A triangular gate have equal side $1$ m as shown in a figure below. It is at the bottom of a tank with $60$

degree inclined angle. Compute ;

$($a$)$ Hydrostatic force F acting at the gate

$($b$)$ Location of foice $F$

$($c$)$ Reaction force $R$ at location $A$ to open the gate, the weight of the gate is $3\mathrm{.}0$ kN $.$

$($d$)$ When oil with

sp$.$gr $0\mathrm{.}90$ is put on top of water with $0\mathrm{.}70$ m thickness, compute hycirostatic, Fnew.

ts location Fnew same as F$?$

$(10$ marks$)$