Fluid Statics
Example 7:

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

Solution :

Horizontal force on the vertical plane acting at h/3 m above the hinge

              

Vertical force on horizontal plane acting at 0.5 m from the hinge

             

Fig. Ex7

Take moments about the hinge and equate.

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

Answer:h= 2.732 m.

 
 
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