A plane gate of uniform thickness holds back a depth of water as shown. Find the minimum weight needed to keep the gate closed.

A triangular access port must be provided in the side of a form containing liquid concrete. Using the coordinates and dimensions shown, determine the resultant force that acts on the port and its point of application.

A gate, in the shape of a quarter-cylinder, hinged at $A$ and sealed at $B$, is $3 \mathrm{~m}$ wide. The bottom of the gate is $4.5 \mathrm{~m}$ below the water surface. Determine the force on the stop at $B$ if the gate is made of concrete; $R=3 \mathrm{~m}$.

Semicircular plane gate $A B$ is hinged along $B$ and held by horizontal force $F_{\mathrm{A}}$ applied at $A$. The liquid to the left of the gate is water. Calculate the force $F_{\mathrm{A}}$ required for equilibrium.

Determine the capacity, in liters, of the punch bowl shown if $R=250 \mathrm{~mm}$.

In Fig. P2.55, gate $AB$ is $5 \ \text{ft}$ wide into the paper, and stop $B$ will break if the water force on it equals $9200 \ \text{lbf}$. At what depth $h$, this condition will reach?

The flow of water from a reservoir is controlled by a $5$ - $\mathrm{ft}$-wide $\mathrm{L}$-shaped gate hinged at point $A$, as shown in the figure. If it is desired that the gate open when the water height is $12\ \mathrm{ft}$, find the mass of the required weight $W$.

A rectangular container of water undergoes constant acceleration down an incline as shown. Determine the slope of the free surface using the coordinate system shown.

Consider the two-fluid manometer shown. Calculate the applied pressure difference.

A partitioned tank as shown contains water and mercury. What is the gage pressure in the air trapped in the left chamber? What pressure would the air on the left need to be pumped to in order to bring the water and mercury free surfaces level?

A 3-m-high, 6-m-wide rectangular gate is hinged at the top edge at A and is restrained by a fixed ridge at B. Determine the hydrostatic force exerted on the gate by the 5-m-high water and the location of the pressure center.

Consider a double-fluid manometer attached to an air pipe shown. If the specific gravity of one fluid is 13.55 , determine the specific gravity of the other fluid for the indicated absolute pressure of air. Take the atmospheric pressure to be 100 kPa.

A rectangular gate (width $w=2 \mathrm{~m}$ ) is hinged as shown, with a stop on the lower edge. At what depth $H$ will the gate tip?

Gate $A B$ in Fig. P2.62 is $15\ \mathrm{ft}$ long and $8\ \mathrm{ft}$ wide into the paper and is hinged at $B$ with a stop at $A$. The water is at $20^{\circ} \mathrm{C}$. The gate is 1 -in-thick steel, $\mathrm{SG}=7.85$. At what water depth $h$ for which the gate will starts to fall?