Fluid Statics
Example 8:
               

As shown in figure what would be the height of water level h when the gate will automatically tip?

Solution :

The gate will tilt when the centre of pressure acts above the hinge.

                  

Depth of the centre of pressure,

The tipping condition is 0.67h = (h-1)

[Note that the width of the plate (perpendicular to the plane of paper) is taken as unity.]

Answer: 3.03m.

 
Fig. Ex8
           
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