Equilibrium of Cylinder with two liquids at either side

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Homework Statement



(Please refer to the attachment given)

In the figure shown, the heavy cylinder (radius R) resting on a smooth surface separates two liquids of densities [tex] 2\rho [/tex] and [tex]3\rho[/tex] . The height h for the equilibrium of cylinder must be:

[tex] a) \frac{3R}{2} [/tex]

[tex] b) R \sqrt{\frac{3}{2}} [/tex]

[tex] c) R \sqrt{2} [/tex]

[tex] d) R \sqrt{\frac{3}{4}} [/tex]

Homework Equations



Basic Equations of hydrostatics

The Attempt at a Solution



This Problem is a little confusing. I think we have to consider the components of the pressures at various points on the cylinder, but I am not too sure how.Besides the above question, how would the cylinder move in the given state of inequilibrium?
 

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Answers and Replies

  • #2
Doc Al
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Hint: Consider imaginary vertical walls just touching both sides of the cylinder. Now examine the forces acting on those walls.
 
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