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Q3) The following particulars apply to a ship of 160 m length when floating in water of density 1025 kg/m³ at an even keel draught of 8 m.

displacement = 16000 tonne

centre of gravity above the keel (KG)  = 8.8 m

centre of buoyancy above the keel(KB) = 4.5 m

waterplane area  = 2200 m²

centre of floatation from midships (LCF) = 4 m aft

second moment of area of the waterplane

about a transverse axis through midships = 2.5 x 10⁶ m⁴

(a) Calculate the moment to change trim by 1 cm ( MCT 1cm). (6)

(b) The ship now has the following changes of loading:

250 tonne added with its lcg 10 m aft of midships;

100 tonne removed with its lcg at midships;

80 tonne moved 40 m aft.

Calculate the new end draughts of the ship. (10)