(a) Define longitudinal center of gravity (LCG) and longitudinal center of buoyancy (LCB).
(6)
(b) A ship 120m long floats at draughts of 5.50m forward and 5.80m aft; MCT 1 cm 80 tonne m, TPC 13, LCF 2.5m forward of midships. Calculate the new draughts when a mass of 110 tonne is added 24m aft of midships.
(10)
Reference Answer
### (a) Definitions **(i) Longitudinal Center of Gravity (LCG)** The Longitudinal Center of Gravity (LCG) is the longitudinal coordinate of the ship's center of gravity (G). It represents the point along the ship's length through which the total weight of the ship is considered to act vertically downwards. * **Reference Point:** The LCG is measured horizontally from a fixed reference point, typically the Aft Perpendicular (AP), Forward Perpendicular (FP), or midships (Amidships).
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