Q6
(a) Describe how the distribution of mass within the ship affects the rolling period.
(6)
(b) The righting moments of a ship at angles of heel of 0, 150, 300, 450 and 600 are 0, 1690, 5430, 9360 and 9140 kNm respectively. Calculate the dynamical stability at 600.
(10)
Reference Answer
### (a) Effect of Mass Distribution on Rolling Period The distribution of mass within a ship has a direct and significant effect on its rolling period. This relationship is primarily governed by the ship's mass moment of inertia about its longitudinal axis and its transverse metacentric height (GM). **1. Fundamental Concepts:** * **Rolling Period (T):** This is the time taken for a vessel to complete one full oscillation, for instance, from its maximum heel to port, over to its maximum heel to starboard, and back to the maximum port heel.
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