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Q1. A ship of length 180 m floats at its load draught with a displacement of 50000 tonne in sea water of density 1025 kg/m³ .

The longitudinal centre of buoyancy (LCB) is 1.80 m aft of midships.

In this condition, the forward of the ship displaces 23000 tonne and has a centre of displaced volume (lcb) 33.00 m forward of midships. This part of the ship is to be replaced with a new forward half of similar length, but having new immersed cross section areas, to the same load draught, as given in Table Q1.

For the new condition, calculate EACH of the following:

(a) The displacement of the ship; (6)

(b) The longitudinal position of the ship’s centre of buoyancy. (10)