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Factors Affecting Pressure

In the follow...

Question

In the following figure shown, a liquid is filled into a height $h$ and the liquid by the walls of the vessel are shown by arrows, the force being everywhere perpendicular to the walls of the vessel. For this situation mark out the correct statement(s)

The horizontal component of the forces on the left and right side include faces will cancel each other.

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The weight of the section lettered

A

is supported by vertical component of forces acting on the include faces

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Force exerted by the liquid ion the base of the vessel is grater then

{(ρ}_{0} + ρ g h) A

where

ρ

is the density of the liquid and

A

is base area of the vessel

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Net force exerted by liquid on the base of the vessel is in the vertical downward direction

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Solution

The correct options are
A The horizontal component of the forces on the left and right side include faces will cancel each other.
B The weight of the section lettered $A$ is supported by vertical component of forces acting on the include faces
C Force exerted by the liquid ion the base of the vessel is grater then ${(ρ}_{0} + ρ g h) A$ where $ρ$ is the density of the liquid and $A$ is base area of the vessel
D Net force exerted by liquid on the base of the vessel is in the vertical downward direction
The free body diagram is shown in the figure ,m is the mass of entire liquid in vessel .As the liquid is in equilibrium ,net force int he liquid in any direction has to be zero. From above statement we can say that the option (a) is correct .
or liquid contained in the section lettered ,vertical component of force acting on the inclined face is equal to atmospheric pressure force and weight of liquid .Force on the base is atmospheric force plus weight in section B From above statement we can say option b,c,d are also correct

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Similar questions

Q. In the following figure shown, a liquid is filled into the vessel up to a height h and the forces exerted against the liquid by the walls of the vessel are shown by arrows, the force being everywhere perpendicular to the walls of the vessel. For this situation, mark out the correct statement(s)

Q. The vessel shown in the figure has two sections of area of cross section

A_{1}

and

A_{2}

. A liquid of density

ρ

fills both the section upto a height

h

in each. Consider atmospheric pressure

P_{0}

also. Find
(a) the pressure at the base of vessel
(b) the force exerted by the liquid on the base of the vessel
(c) the downward force exerted by the walls of the vessel at the level

B

The vessel shown in the figure has two sections of areas of cross-section $A_{1}$ and $A_{2}$ . A liquid of density p fills both the sections, up to a height h in each .

Neglect atmospheric pressure.

1) The pressure by the liquid on the base of the vessel is 2h pg

2) The force exerted by the liquid on the base of the vessel is 2h pg $A_{2}$

3) The weight of the liquid is < 2h pg $A_{2}$

4) The walls of the vessel at the level X exert a downward force hpg $(A_{2} - A_{1})$ on the liquid

Q. To what height should a cylindrical vessel be filled with a homogeneous liquid to make the force with which the liquid pressure on the sides of the vessel equal to the force exerted by the liquid on the bottom of the vessel?

Q. The height to which a cylindrical vessel be filled with a homogeneous liquid, to make the average force with which the liquid presses the side of the vessel equal to the force exerted by the liquid on the bottom of the vessel is equal to:

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In the following figure shown, a liquid is filled into a height h and the liquid by the walls of the vessel are shown by arrows, the force being everywhere perpendicular to the walls of the vessel. For this situation mark out the correct statement(s)

In the following figure shown, a liquid is filled into a height $h$ and the liquid by the walls of the vessel are shown by arrows, the force being everywhere perpendicular to the walls of the vessel. For this situation mark out the correct statement(s)