Hydraulics and Fluid Mechanics in ME
The resultant upward pressure of a fluid on a floating body is equal to the weight of the fluid displaced by the body. This definition is according to

Equilibrium of a floating body
Archimedes’ principle
Buoyancy
Bernoulli’s theorem

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Hydraulics and Fluid Mechanics in ME
A vertical wall is subjected to a pressure due to one kind of liquid, on one of its sides. Which of the following statement is correct?

The pressure on the bottom of the wall is maximum
The pressure on the wall at the liquid level is zero, and on the bottom of the wall is maximum
The pressure on the wall at the liquid level is minimum
The pressure on the bottom of the wall is zero

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Hydraulics and Fluid Mechanics in ME
The discharge through a large rectangular orifice is given by (where H1 = Height of the liquid above the top of the orifice, H2 = Height of the liquid above the bottom of the orifice, b = Breadth of the orifice, and Cd = Coefficient of discharge)

Q = (2/3) Cd × b × √(2g) × (H2 - H1)
Q = (2/3) Cd × b × √(2g) × (H23/2 - H13/2)
Q = (2/3) Cd × b × √(2g) × (H22 - H12)
Q = (2/3) Cd × b × √(2g) × (H21/2 - H11/2)

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