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In the figure shown, the heavy cylinder (radius R) resting on a smooth surface separates two liquids of densities 2ρ and 3ρ.

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In the figure shown, the heavy cylinder (radius R) resting on a smooth surface separates two liquids of densities 2ρ and 3ρ. Find the height ‘h’ for the equilibrium of cylinder.

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Balancing force on both sides Horizontal force acting on the cylinder can be assumed to be acting on the cross–sectional area in the vertical direction

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