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A solid cylinder of diameter 5.0 m has a height of 6.0 m. Find the meta-centric height of the cylinder if the specific gravity of the material of cylinder 0.45 and it is floating in water with its axis vertical. State whether the equilibrium is stable or unstable.

A solid cylinder of diameter 5.0 m has a height of 6.0 m. Find the meta-centric height of the cylinder if the specific gravity of the material of cylinder 0.45 and it is floating in water with its axis vertical. State whether the equilibrium is stable or unstable. Correct Answer -0.61 m

BG=Centre of pontoon – Centre of immersed portion=0.3-0.45*0.3=1.65 Metacentric height=I/∀ -BG I=π*r⁴=π*2.5⁴ ∀=π*r*r*h=π*2.5*2.5*6 Metacentric height=-0.61.

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