Static And Dynamic assignment #$1$

See the Figure below and answer the following questions. $.$ Show your solution step by step

Find the moment of force F about point $A-1$

Replace the $150$ N force shown with an equivalent for

$-2$ moment system at B

Find the moment of the force about the axis A$-$B $-3$ Determine the angle between the force and the line DB $-4$

Question $1$:

$$ The water in a tank is pressurized by air, and the pressure is measured by a multifluid manometer as shown in Figure below. The tank is located on a mountain at an altitude of $1400$ m where the atmospheric pressure is $90$ kPa $.$ Determine the air pressure in the tank if $h_1=0\mathrm{.}12m,h_2=0\mathrm{.}22m,$ and $h_3=0\mathrm{.}34$ m $.$ Take the densities of water, oil, and mercury to be $1000k\frac{g}{m^3},850k\frac{g}{m^3},$ and $13,600k\frac{g}{m^3},$ respectively.