• The Longitudinal Centre of Gravity (LCG) is the point along the length of the vessel where the total weight of the ship is considered to act vertically downward.
• It represents the balance point of the ship's weight distribution and is measured as a distance forward or aft of the midship.

Longitudinal Centre of Buoyancy (LCB):

• The Longitudinal Centre of Buoyancy (LCB) is the point along the length of the vessel through which the total buoyant force, acting vertically upward, is considered to act.
• It represents the balance point of the underwater volume of the ship and is also given as a distance forward or aft of the midship.

$$Common \space interval \space (h) \space = \space {{L} \over h} \space = \space {{120} \over 10} \space = \space 12 $$

$$Displacement \space = \space \rho \times {{h} \over 3} \times \sum ∇ \space tonne $$

$$=1.025\times{{12}\over3}\times2388$$

$$Displacement \space = \space 9790.8 tonne$$

Centre of buoyancy from midship (LCB)

$$LCB\:=\:h\times({{\sum M_{A}+\sum M_{F}}\over\sum\nabla})$$

$$=12\times({{2130-2542}\over2388})$$

$$LCB \space = \space -2.07m fwd$$