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Q3. A ship of length 150 m has the following hydrostatic particulars when floating at an even keel draught in sea water of density 1025 kg/m3

waterplane area = 2000 m2

displacement =13500 tonne

longitudinal metacentric height (GML) =165 m

centre of flotation from midships (LCF) =2.4 m aft

The ship in the above condition grounds on a rock which may be assumed to be at a point 60 m forward of midships and settles such that the end draughts are 6.35 m aft and 5.65 m forward.

Calculate the original draught of the ship.