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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

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 surfaceThe 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=12ρgH2or F = 12ρgH2ιThe 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

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