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Q1. The load waterplane of a ship is 144 m long, floating in sea water of density 1025 kg/m³, is defined by the half ordinates given in Table Q1:

The following particulars are obtained from the ship’s hydrostatic curves:

displacement = 13640 tonne

centre of buoyancy above the keel (KB) = 3.84 m

moment to change trim by one centimetre (MCT 1cm) = 176.5 tm

Calculate EACH of the following:

(a) the position of the longitudinal centre of flotation (LCF) from midships; (6)

(b) the second moment of area of the waterplane about a transverse axis through the centroid; (6)

(c) the height of the ship’s centre of gravity above the keel (KG). (4)