A vessel has a length of 56 m, width of 8 m and a displacement of 12 x 106 N when wholly submerged in sea water (mass density 1025 kg/m³). When a weight of 0.15 x 106 N is rolled off transversely across the deck through a distance of 5 m, the vessel tilts through 3°. The second moment of area of the water line section about its fore-and-aft axis is 75 percent of that of the circumscribing rectangle, and the centre of buoyancy is 1.6 m below the water line. Make calculations for the metacentric height and the position of the centre of gravity of the vessel.
A vessel has a length of 56 m, width of 8 m and a displacement of 12 x 106 N when wholly submerged in sea water (mass density 1025 kg/m³). When a weight of 0.15 x 106 N is rolled off transversely across the deck through a distance of 5 m, the vessel tilts through 3°. The second moment of area of the water line section about its fore-and-aft axis is 75 percent of that of the circumscribing rectangle, and the centre of buoyancy is 1.6 m below the water line. Make calculations for the metacentric height and the position of the centre of gravity of the vessel.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A vessel has a length of 56 m, width of 8 m and a displacement of 12 x 106 N when wholly
submerged in sea water (mass density 1025 kg/m³). When a weight of 0.15 x 106 N is rolled
off transversely across the deck through a distance of 5 m, the vessel tilts through 3°. The
second moment of area of the water line section about its fore-and-aft axis is 75 percent of
that of the circumscribing rectangle, and the centre of buoyancy is 1.6 m below the water
line. Make calculations for the metacentric height and the position of the centre of gravity
of the vessel.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13c7082b-0b73-488b-b5c7-43e0d0d6f1d3%2F0b8efe36-c523-4459-9e0b-48f0e951b9e9%2Fox97oss_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A vessel has a length of 56 m, width of 8 m and a displacement of 12 x 106 N when wholly
submerged in sea water (mass density 1025 kg/m³). When a weight of 0.15 x 106 N is rolled
off transversely across the deck through a distance of 5 m, the vessel tilts through 3°. The
second moment of area of the water line section about its fore-and-aft axis is 75 percent of
that of the circumscribing rectangle, and the centre of buoyancy is 1.6 m below the water
line. Make calculations for the metacentric height and the position of the centre of gravity
of the vessel.
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