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Q1.  The load waterplane of a ship 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 centimeter (MCT 1 cm) = 176.5 m

Calculate EACH of the following:

(a) The position of the longitudinal centre of floatation (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)