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Q2. A ship of 31500 tonne displacement floating in sea water has 900 tonne of bunker fuel of density 800 kg/m³ in double bottom tanks which are pressed up full.

In this condition the metacentric height is 0.25 m and the ordinates of the statical stability curve corresponding to this displacement are as follows:

The oil is transferred to a deep tank 5 m long by 20 m wide, situated on the ship's centreline.

The centre of gravity of the fuel after transfer is 7.0 m above the original centre of gravity of the oil.

Calculate EACH of the following for the new condition:

(a) the final effective metacentric height;

(b) the angle that the ship heels to;

(c) the dynamical stability at 20° angle of heel.