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Question 3.4: A vessel with a weight of 50 × 10^6 N tilts at an angle of 5......

A vessel with a weight of 50 × 10^{6} N tilts at an angle of 5° when a jockey weight of 300 × 10³ N is moved 8 m across the deck from the centreline. What is the metacentric height of the vessel?

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2 π radians = 360° so 1 radian = 57.3°.
A tilt of 5° equals 5/57.3 = 0.087 radians

GM = ({}_{W_{J}}/{W}) \times {dx}/{d\theta } = (300 \times {10^{3}}/{50} \times 10^{6}) \times {8}/{0.087}

GM = 0.55 m

This indicates a reasonable stability: GM is usually not large (see section 3.4).

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