Problem (4.18): A vessel has a length of 60 m, width 12 m and a displacement of 19620 kN. When a weight ot294.3 KN is rolled off transversely across the deck through a distance of 6.5 m, the vessel thts through5°. The second moment of area of the water line section about its fore-and-oft axis is 75 per cent of that of the circumscribing rectangie. The center of buoyancy is 2.75 m below the water line. Find: (i) The metacentric height (ii) The position of center of gravity of the vessel. Take specific weight of sea water 10.104 kN/m

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.117P: The concrete dam shown in cross section holds back fresh water (=1000kg/m3). Determine the resultant...
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Problem (4.18): A vessel has a length of 60 m, width 12 m and a displacement of 19620 kN. When a
eight of294.3 KN is rolled off transversely across the deck through a distance of 6.5 m, the vessel
mts through S°. The second moment of area of the water line section about its fore-and-oft axis is 75
per cent of that of the circumscribing rectangle. The center of buoyancy is 2.75 m below the water
line. Find:
(i) The metacentric height
(ii) The position of center of gravity of the vessel.
Take specific weight of sea water 10.104 kN/m*
[Ans. (i) 1.1145 m (ii) 0.53 m below water surface]
Transcribed Image Text:Problem (4.18): A vessel has a length of 60 m, width 12 m and a displacement of 19620 kN. When a eight of294.3 KN is rolled off transversely across the deck through a distance of 6.5 m, the vessel mts through S°. The second moment of area of the water line section about its fore-and-oft axis is 75 per cent of that of the circumscribing rectangle. The center of buoyancy is 2.75 m below the water line. Find: (i) The metacentric height (ii) The position of center of gravity of the vessel. Take specific weight of sea water 10.104 kN/m* [Ans. (i) 1.1145 m (ii) 0.53 m below water surface]
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