Section: Fluid Mechanics | Marks: 2
A container of square cross-section is partially filled with a liquid of density 1 ρ . The cylinder is intended to float in another liquid of density 2 ρ as shown in the figure. The distance between metacentre and centre of buoyancy is sub I V , where I and sub V are area moment of inertia of the cross-section and submerged volume, respectively. Neglect the weight of the container. Which one of the following is the correct condition for stability?
- A. 2 1 1 2 1 0 6 b h h b ρ ρ ρ ρ − − >
- B. 2 1 1 2 1 0 6 b h h b ρ ρ ρ ρ − + >
- C. 2 1 1 2 1 0 6 b h h b ρ ρ ρ ρ + − >
- D. 2 1 1 2 1 0 6 b h h b ρ ρ ρ ρ + + >
Answer: A. 2 1 1 2 1 0 6 b h h b ρ ρ ρ ρ − − >