Let us direct the x-axis from the bow to the stern.
Let the center of gravity of the vessel have a coordinate xk, and the cargo xg.
Weights of the vessel and cargo: mk and mg.
Coordinate of the general center of gravity of the vessel and cargo:
x1 = (mkxk + mhxg) / (mk + mg).
When the load moves along the x-axis at a distance a, the coordinate of the center of gravity will be written as:
x2 = (mkxk + m (xg + a)) / (mk + mg).
x2 – x1 = (mkxk + m (xg + a)) / (mk + mg) – (mkxk + mgxg) / (mk + mg) = mga / (mk + mg).
The difference between the coordinates of the center of gravity of the system before and after the movement of the load is not zero.
Answer: The position of the center of gravity moves when moving the load.
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