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The document contains fluid mechanics problems related to hydrostatic forces and pressure on submerged objects. It includes calculations for a submerged car door, a swimming pool's walls, a rectangular plate in a channel, and a V-shaped water trough. Each problem requires determining forces and pressure centers based on given dimensions and conditions.

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0% found this document useful (0 votes)
64 views2 pages

Sheet

The document contains fluid mechanics problems related to hydrostatic forces and pressure on submerged objects. It includes calculations for a submerged car door, a swimming pool's walls, a rectangular plate in a channel, and a V-shaped water trough. Each problem requires determining forces and pressure centers based on given dimensions and conditions.

Uploaded by

Hazem Ali
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Alexandria University Naval Architecture &

Faculty of Engineering Marine Engineering Dept.


2nd Year Sheet (5)
Fluid Mechanics (I) 8 - 2021

1. Consider a heavy car submerged in water in a lake with a flat bottom. The
driver’s side door of the car is 1.1 m high and 0.9 m wide, and the top edge of the
door is 8 m below the water surface. Determine the net force acting on the door
(normal to its surface) and the location of the pressure center if (a) the car is well-
sealed and it contains air at atmospheric pressure and (b) the car is filled with
water.

2. Consider a 4-m-long, 4-m-wide, and 1.5-m-high aboveground swimming pool that


is filled with water to the rim. (a) Determine the hydrostatic force on each wall
and the distance of the line of action of this force from the ground. (b) If the
height of the walls of the pool is doubled and the pool is filled, will the
hydrostatic force on each wall double or quadruple? Why? Answer: (a) 44.1 kN

3. A 4-m-high, 5-m-wide rectangular plate blocks the end of a 4-m-deep freshwater


channel, as shown in the figure below. The plate is hinged about a horizontal
axis along its upper edge through a point A and is restrained from opening by a
fixed ridge at point B. Determine the force exerted on the plate by the ridge.

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4. The two sides of a V-shaped water trough are hinged to each other at the bottom
where they meet, as shown in the figure below, making an angle of 45° with the
ground from both sides. Each side is 0.75 m wide, and the two parts are held
together by a cable and turnbuckle placed every 6 m along the length of the
trough. Calculate the tension in each cable when the trough is filled to the rim.
Answer: 5510 N

Good Luck
Dr. Tamer Hamed
Eng. Mah. Ibrahim
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