Question

A ship of 8153.75 tonnes displacement has KM8m, KG7. 5m, and has a double bottom tank 15m10m2m which is full of salt water ballast. Find the new GM if this tank is now pumped out till half empty.

Note. The mass of the water pumped out will cause an actual rise in the position of the ship’s centre of gravity and the free surface created will cause a virtual loss in GM. There are therefore two shifts in the position of the centre of gravity to consider.

In Figure the shaded portion represents the water to be pumped out with its centre of gravity at position g. The original position of the ship’s centre of gravity is at G.