A vertical gate$/$partition structure inside an open tank separates an unknown fluid $($on the

left$)$ from gasoline $($on the right$).$ The gate is hinged at the bottom and is prevented from

opening by the stop located at the bottom of the partition. The width of the gate is $12$ m $.$

On the left side of the gate, the unknown fluid has a depth of $3$ m $,$ and a manometer

consisting of two gage fluids is attached to the left side of the tank. The specific gravity of the

upper gage fluid, SG$1,$ is $0\mathrm{.}4,$ and the specific gravity of the lower gage fluid, SG$2,$ is $0\mathrm{.}7.$ The

manometer readings are given as:

$d1=10cm,d2=25cm,d3=20cm,d4=20cm,d5=20cm$

$d6=40cm,d7=30cm,d8=20cm,d9=20cm,$

On the right side of the gate, the gasoline has a depth of $4$ m and the right side of the tank is

inclined.

A$)$ What is the specific weight of the unknown fluid in the tank on the left side of the

gate?

B$)$ What is the force of the stop acting on the gate?

C$)$ BONUS: At what depth does the gate begin to open if more of the unknown fluid is

added to the left side of the tank?

Show all of your work. Include correct units in the final answer. You may use PPM$,$ MOM or

both $-$ it is up to you. Note: you do not need to re$-$sketch the entire figure in your solution.