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Question

A uniform solid cylinder of density 8g/cm3 floats in equilibrium in a combination of two non-mixing liquids A and B with its axis vertical. The densities of liquids A and B are 0.7g/cm3 and 1.2g/cm3, respectively. The height of liquid A is hA=1.2cm. The length of the part of the cylinder with liquid B is hB=0.8cm and h=.2cm. Find the total force exerted by liquid A on the cylinder:
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Solution

Liquid A exerts horizontal forces on all area elements from all directions. By symmetry, the resultant of these horizontal forces is zero. So the total force exerted by liquid A on the cylinder is zero.

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