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Q7. The load waterplane of a ship 120 m long, floating in sea water of density 1025 kg/m³, is defined by the following half-breadths given in Table Q1.

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

Displacement = 8450 tonne

Center of buoyancy above the keel (KB) = 3.21 m

Moment to change trim by one centimeter = 101.5 tm

Calculate EACH of the following:

(a) The position of the longitudinal center of flotation (LCF) from midships;

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

(c) The height of the ship's center of gravity above the keel.