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Q3. The following particulars apply to a ship of 140 m length when floating in water of density 1025 kg/m³ at an even keel draught of 7 m.

Displacement = 14200 tonne

Centre Of gravity above the keel (KG)= 8.6 m

Centre Of buoyancy above the keel (KB) = 4.25 m

Waterplané area = 2049m2

Centre Of flotation from midships (LCF)= 4.5m aft

Second moment of area of the waterplane about a transverse axis through midships = 2.332  106 m4.

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

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

143 tonne added with its lcg 10.5 m aft of midships

80 tonne removed with its lcg at midships

60 tonne moved 40 m aft

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