An inclining test is performed on a vessel with a displacement of 10 000 tonnes and...

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An inclining test is performed on a vessel with a displacement of 10 000 tonnes and a KM (metacentric height) of 7 meters. Throughout the test, various masses are loaded aboard, as indicated in Table 1. It's important to note that these masses are not considered part of the ship's lightweight. For this test, all the vessel's tanks are either entirely full or completely empty. The inpline is induced by using four weights, each weighing 5 tonnes, as illustrated in Figure 1. The measurements taken during the test are detailed in Error! Reference source not found.. Task: Your objective is to determine both the lightweight of the vessel and the vertical centre of gravity (measured from the baseline) of the lightweight. Figure 1. Order of shifting weights during in the inclining test. Table 1. Masses on board the ship. Item Inclining masses Fuel oil Fresh water Ballast water Misc. 2 3 4 5 6 7 Mass [t] Z [m] 20 12 8 150 100 Table 2. Measurements of heel from the inclining test. Test # Lever (m) Heel (deg) 0 0.000 1 1.032 200 50 Mass (t) 0 10 20 10 0 10 20 10 0 0 10 10 10 9 10 6 11.5 0 -10 -10 -10 0 2.086 1.011 0.022 -1.011 -2.064 -1.054 -0.022 An inclining test is performed on a vessel with a displacement of 10 000 tonnes and a KM (metacentric height) of 7 meters. Throughout the test, various masses are loaded aboard, as indicated in Table 1. It's important to note that these masses are not considered part of the ship's lightweight. For this test, all the vessel's tanks are either entirely full or completely empty. The inpline is induced by using four weights, each weighing 5 tonnes, as illustrated in Figure 1. The measurements taken during the test are detailed in Error! Reference source not found.. Task: Your objective is to determine both the lightweight of the vessel and the vertical centre of gravity (measured from the baseline) of the lightweight. Figure 1. Order of shifting weights during in the inclining test. Table 1. Masses on board the ship. Item Inclining masses Fuel oil Fresh water Ballast water Misc. 2 3 4 5 6 7 Mass [t] Z [m] 20 12 8 150 100 Table 2. Measurements of heel from the inclining test. Test # Lever (m) Heel (deg) 0 0.000 1 1.032 200 50 Mass (t) 0 10 20 10 0 10 20 10 0 0 10 10 10 9 10 6 11.5 0 -10 -10 -10 0 2.086 1.011 0.022 -1.011 -2.064 -1.054 -0.022