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)

the horizontal component of the forces on the left and right side inclined faces will cancel each other

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

the weight of the section lettered A is supported by vertical component of forces acting on the inclined faces

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

force exerted by the liquid on the base of the vessel is greater than

(p_{0} + ρ g h)

A where

ρ

is the density of the liquid and A is base area of the vessel

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct options are
A the weight of the section lettered A is supported by vertical component of forces acting on the inclined faces
B force exerted by the liquid on the base of the vessel is greater than $(p_{0} + ρ g h)$ A where $ρ$ is the density of the liquid and A is base area of the vessel
C the horizontal component of the forces on the left and right side inclined faces will cancel each other
D net force exerted by liquid on the base of the vessel is in the vertical downward direction
The liquid in the vessel is in equilibrium. Only horizontal forces acting on the liquid are acting on the inclined faces. Thus they must be equal and opposite to each other to cancel.
Normal forces act from the bottom to top of the vessel. The weight of the inclined section could only be supported by these forces.
Since the horizontal force acting liquid cancel each other, so would the horizontal forces acting on vessel by liquid. Thus the net force exerted by liquid on base of vessel is vertically downwards.

Suggest Corrections

Similar questions

Q. 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)

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:

Join BYJU'S Learning Program