An open vessel containing water is given a constant acceleration a in the horizontal direction. Then the free surface of water gets sloped with the horizontal at an angle
given by
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If the acceleration is towards right hand side, then the water will bulge at the back of vessel as shown in figure. Consider a horizontal liquid cylinder in the liquid of length L area of cross section A. let
and
be the heights of liquid column at the ends of cylinder from the surface of liquid as shown in figure. For translator motion of cylinder with acceleration a,


Or

Or 
Or 
From figure, 
Or 
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