A ship is floating at drafts 5.5m F and 6.0m A. The following cargo is then loaded: 97 tonnes centre of gravity 8m forward of amidships 20 tonnes centre of gravity 40m aft of amidships 28 tonnes centre of gravity 20m aft of amidships The draft is now 5.6 metres F and 6.1 metres A. Find the position of the cen tre of flotation relative to amidships.

A ship is floating at drafts 5.5m F and 6.0m A. The following cargo is then loaded:

97 tonnes centre of gravity 8m forward of amidships

20 tonnes centre of gravity 40m aft of amidships

28 tonnes centre of gravity 20m aft of amidships

The draft is now 5.6 metres F and 6.1 metres A. Find the position of the cen tre of flotation relative to amidships.

Reference: Ship Stability for Masters & Mates (6^th edition), Exercise – 16.14

 

Solution:

Let,

COF is ‘x’ m AFT of amidship

97 * (8+x) = 20*(40-x) + 28(20-x)

=> 776 + 97x = 800 – 20x + 560 – 28x

=> x = 4.027

COF is 4.027 m AFT of amidship