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Question

A wall of length ι support water to a height H as shown in figure Choose the correct statement(s) Take ρ as the density of water
330663_554f4924946f4833b8bbfac99a2c5c57.png

A
the force exerted by water on the wall per unit length is 12ρgH2
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B
the force exerted by water on the wall is 12ρgH2ι
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C
the point of application of the resultant force acts 23H below the free surface
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D
the point of application of the resultant force acts H3 below the free surface
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Solution

The correct options are
A the force exerted by water on the wall per unit length is 12ρgH2
B the force exerted by water on the wall is 12ρgH2ι
C the point of application of the resultant force acts 23H below the free surface
The pressure at the base of the dam is ρgh
The force per unit length of the damis equal to the area of the pressure diagram Fι=12(ρgH)H=12ρgH2
or F = 12ρgH2ι
The point of allication of the resultant force passes through the centroid of the pressure diagram i.e. at H3 from the base or 23H from the top

1095141_330663_ans_0e9c7996b3294005b42012ad2568c6f5.png

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