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Dynamical stability 223
Exercise 22
1 A ship of 10 000 tonnes displacement has righting levers as follows: Heel 10 20 30 40
GZ (m) 0.09 0.21 0.30 0.33
Calculate the dynamical stability to 40 degrees heel.
2 When inclined, a ship of 8000 tonnes displacement has the following righting levers:
Heel 15 30 45 60
GZ (m) 0.20 0.30 0.32 0.24 Calculate the dynamical stability to 60 degrees heel.
3 A ship of 10000 tonnes displacement has the following righting levers when inclined:
Heel 0 10 20 30 40 50 GZ (m) 0.0 0.02 0.12 0.21 0.30 0.33 Calculate the dynamical stability to 50 degrees heel.
4 A box-shaped vessel 42 m 6 m 5 m, is ¯oating in salt water on an even keel at 3 m draft and has KG 2 m. Assuming that the KM is constant, calculate the dynamical stability to 15 degrees heel.
5 A box-shaped vessel 65 m 10 m 6 m is ¯oating upright on an even keel at 4 m draft in salt water. GM 0.6 m. Calculate the dynamical stability to 20 degrees heel.