$\backslash$table$[[$SKMM $2313$ Mechanics of Fluids $1,$Semester $1$ Session $2018/2019],[$Test $1,$Duration: $1$ hour $30$ minutes$]]$

Please write in PEN and answer ALL questions in English.

Question $1$

A parabolic gate with equation $y=0\mathrm{.}25x^2$ is shown in Figure Q$1.$ The gate is $2$ m wide and pivoted at $O.$ If $D$ and $H$ is $2$ m and $3$ m respectively, determine the required horizontal force, $P$ to hold the gate in equilibrium.

Ans: $P=34\mathrm{.}8kN$

$(5$ marks$)$

Figure Q$1$