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Q4. A ship of displacement 11000 tonne has a length 120 m and an even keel draught of 5.5 m in sea water of density 1025 kg/m³.

The area of the waterplane is 1440 m² and the second moment of area of the waterptane about a transverse axis through midships is 1.2 x 106 m4 with the LCF at midships. The ship has a full depth empty rectangular compartment having a length 12 m and breadth 10 m. The centre of the compartment is on the centretine of the ship 40 m forward of midships. Calculate the end draughts after the compartment is bilged.

Note: For the purposes of calculating the MCT1cm it can be assumed that GML= BML. (16)