Class 4 (4th Engineer) SC&S 📅 Sep 2023

Exam Question

The centre of gravity of a ship of 5000 tonne displacement is 6 m above the keel and 1.5 m forward of midships. Calculate the new position of the centre of gravity if 500 tonne of cargo are placed in the t'ween decks 10 m above the keel and 36 m aft of midships. (16)

Reference Answer

### **Principle**
The fundamental principle for calculating the new position of the centre of gravity (CG) of a ship after adding, removing, or shifting mass is the **Principle of Moments**. The final moment of the system about any reference point is the algebraic sum of the individual moments of the initial ship and the added masses about the same reference point. The new position of the CG is then found by dividing this total moment by the total final mass (displacement).
This calculation must be performed independently for the vertical and longitudinal axes.
* **Vertical Centre of Gravity (KG):** Calculated by taking moments about the Keel (K).

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