A catamaran consists of the main canoe idealised as a rectangular box of 0.5m depth x...

 

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A catamaran consists of the main canoe idealised as a rectangular box of 0.5m depth x 0.8 m width x 3 m length and two outriggers also idealised as rectangular boxes of 0.3m x 0.3 m section and 1.5 m length such that their bases are in line with the base of the main canoe. The outriggers are 1.5 m from either side of the main canoe. The combined dry weight of the main canoe and outriggers is 1950 N. Boatman with goods totaling 5000 N in the canoe gives an overall centre of gravity G of canoe 0.1 m above the waterline. (a) Find the volume of sea water displaced assuming density is 1025 kg/m. (b) Find the total 2nd moment of area about the axis of roll at the waterline. (c) Find the metacentric height. A catamaran consists of the main canoe idealised as a rectangular box of 0.5m depth x 0.8 m width x 3 m length and two outriggers also idealised as rectangular boxes of 0.3m x 0.3 m section and 1.5 m length such that their bases are in line with the base of the main canoe. The outriggers are 1.5 m from either side of the main canoe. The combined dry weight of the main canoe and outriggers is 1950 N. Boatman with goods totaling 5000 N in the canoe gives an overall centre of gravity G of canoe 0.1 m above the waterline. (a) Find the volume of sea water displaced assuming density is 1025 kg/m. (b) Find the total 2nd moment of area about the axis of roll at the waterline. (c) Find the metacentric height.