Higher hinge height $(\frac{?}{4})$ :

Unknown

Take the acceleration due $10$ gravity as $9\mathrm{.}81\frac{m}{s^2}$ and the density of water as $1000k\frac{g}{m^3}.$

QUESTION $1(A)$

Determine the magnitude of the hydrostatic force $($to the nearest Newton$)$ due to depth of water $H_1.$

Report your answer in Newtons and use this rounded value in subsequent calculations.

The hydrostatic force $(F_1)=(6)$ N

QUESTION $1(B)$

Determine the magnitude of the hydrostatic force $($to the nearest Newton$)$ due to depth of water $H_2.$

Report your answer in Newtons and use this rounded value in subsequent calculations.

The hydrostatic force $(F_2)=(6)$ N

QUESTION $1($C$)$

Determine the magnitude of the resultant hydrostatic force $($to the nearest Newton$)$ acting on one gate.

Report your answer in Newons and use this rounded value in subsequent calculations.

QUESTION $1(0)$

Determine the height $($above the base of the gate$)$ of the resultant hydrostatic force $($to the nearest mm$)$

Report your answer in $mm$ and use this rounded value in subsequent calculations.

The height of the resultant force $(h_{\text{r}\text{e}\text{d}})=$ min

QUESTION $1(E)$

Determine the magnizude of the contact fonce to the nearest Newton$)$ acting between the gates.

Report your answer in Newons and use this rounded value in subsequent calculations.

The contact force $(F_{\text{c}\text{o}\text{m}\text{t}\text{a}\text{r}\text{t}})=6.N$

QUESTION $1(F)$

Determine the magnitude of the resultant reaction force $($to the nearesi Newton$)$ developed in the hinges of one gate.

Report your answer in Newtons and use this rounded value in subsequent calculations.

The force at the hinges of one gate $(F_{\text{h}\text{e}\text{r}\text{g}\text{e}\text{s}})=6.N$

QUESTION $1(G)$

If the reaction force that develops in the top and botiom hinge is to be balanced, determine the height of the top hinge above the base of the gate.

Repor your answer in mm$.$

The height of the top hinge $(h_t)=\mathrm{.}6,$ in mim

YOUR PRQQRESS ON DUESTION $1$

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Consider the set of lock gates shown in the image below and the associaled table of dimensions.

In this question you are asked to perforn a hydrostatic analysis of the gates. In this analysis you may assume the following.

there is no friction force developed between the gates at their contact point. The only force transmitted from one gate to the other is the direct bearing force.

the resultant hydrostatic force, the contact force between gates and the resultant hinge reaction force are all coplanar. The level of this plane, is the level at which the resultant hydrostatic force develops.

Table of dimensions

Channel width $($IV$)$: $,4294mm$

$\backslash$table$[[$Gate length $(l)$:$,2454mm$