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Q2. For a ship of 6000 tonne displacement floating in water of density 1025 kg/m³, the KG is 5.5 m. A centre double bottom tank 14 m in length, 6.4 m wide and 1.6 m deep is now half filled with oil of density 900 kg/m³. A mass of 120 tonne is lifted from a quayside by means of the ship's lifting gear. The top of the derrick is 18 m above the keel.

If the KM in the final condition is 7.8 m, calculate EACH of the following:

(a) the final effective metacentric height; (13)

(b) the maximum outreach of the derrick if the angle of heel is not to exceed 5^o. (3)