a) A vertical gate of width B and height H retains water on one side upto its top edge. Find the depths of two
horizontal lines which divide the gate into three portions such that the total pressure on each portion is equal. Also
locate the position of the centre of pressure for each of the three portions. Hence show that if a gate is divided into
N such portions each of which is subjected to equal total pressure then the height of each portion is given by
hr=H[√(r/N)]
and the depth of centre of pressure for each portion below the top of the gate is given by
in attachment
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