Determine the force $P$ needed to hold the $4$-$\mathrm{m}-$ wide gate in the position shown.

The rectangular barge of Fig. is known to be $15 \mathrm{~m}$ long. A load having a mass of $900 \mathrm{~kg}$ is added to the barge causing it to sink $10 \mathrm{~mm}$. How wide is the barge? (A) $6 \mathrm{~m}$ (B) $9.2 \mathrm{~m}$ (C) $7.5 \mathrm{~m}$ (D) $0.62 \mathrm{~m}$

A large, open tank contains water and is connected to a 6-ft-diameter conduit as shown in the given figure. A circular plug is used to seal the conduit. Determine the magnitude, direction, and location of the force of the water on the plug.

A force $P=300 ~\mathrm{kN}$ is needed to just open the gate of Fig. with $R=1.2 \mathrm{~m}$ and $H=4 \mathrm{~m}$. How wide is the gate? (A) $2.98 \mathrm{~m}$ (B) $3.67 \mathrm{~m}$ (C) $4.32 \mathrm{~m}$ (D) $5.16 \mathrm{~m}$

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?

At what height $H$ will the rigid gate, hinged at a central point as shown in Fig., open if $h$ is: (a) $0.6 \mathrm{~m}$ ? (b) $0.8 \mathrm{~m}$ ? (c) $1.0 \mathrm{~m} ?$

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

Find the force $P$ needed to hold the $3 -\text{m}$-wide rectangular gate as shown if: (a) $l=2 \mathrm{~m}$ (b) $l=4 \mathrm{~m}$ (c) $l=5 \mathrm{~m}$

The rigid gate, $O A B$, of the given figure is hinged at $O$ and rests against a rigid support at $B$. What minimum horizontal force, $P$, is required to hold the gate closed if its width is $3 \mathrm{~m}$? Neglect the weight of the gate and friction in the hinge. The back of the gate is exposed to the atmosphere.

The rectangular gate shown in Fig. is $3 \mathrm{~m}$ wide. The force $P$ needed to hold the gate in the position shown is nearest: (A) $24.5 ~\mathrm{kN}$ (B) $32.7 ~\mathrm{kN}$ (C) $98 ~\mathrm{kN}$ (D) $147 ~\mathrm{kN}$

The pressure in the foothills of the Rockies near Boulder, Colorado is $84 ~\mathrm{kPa}$. The pressure, assuming a constant density of $1.00 ~\mathrm{~kg} / \mathrm{m}^3$, at the top of a nearby $4000$-$\mathrm{m}$-$\mathrm{high}$ mountain is closest to: (A) $60~ \mathrm{kPa}$ (B) $55 ~\mathrm{kPa}$ (C) $50 ~\mathrm{kPa}$ (D) $45 ~\mathrm{kPa}$

Find the force $P$ required to hold the gate in the position shown in Fig. The gate is $5 \mathrm{~m}$ wide.

What $P$ is needed to hold the $4$-$\mathrm{m}$-wide gate shown in Fig. closed?

A 12-in.-diameter pipe leaves a reservoir of surface elevation 300 at elevation 250 and drops to elevation 150, where it terminates in a 3-in.-diameter nozzle. If the head lost through line and nozzle is 30 ft, calculate the flow rate.