Page 109 - statbility for masters and mates

Final KG 97
Exercise 11
1 A ship has a displacement of 1800 tonnes and KG 3 m. She loads 3400 tonnes of cargo (KG 2.5m), and 400 tonnes of bunkers (KG 5.0 m). Find the ®nal KG.
2 A ship has a light displacement of 2000 tonnes and light KG 3.7 m. She then loads 2500 tonnes of cargo (KG 2.5 m), and 300 tonnes of bunkers (KG 3 m). Find the new KG.
3 A ship sails with displacement 3420 tonnes and KG 3.75 m. During the voyage bunkers were consumed as follows: 66 tonnes (KG 0.45 m) and 64 tonnes (KG 2 m). Find the KG at the end of the voyage.
4 Ashiphasdisplacement2000tonnesandKG 4m.Sheloads1500tonnes of cargo (KG 6 m), 3500 tonnes of cargo (KG 5 m), and 1520 tonnes of bunkers (KG 1 m). She then discharges 2000 tonnes of cargo (KG 2.5m) and consumes 900 tonnes of oil fuel (KG 0.5m) during the voyage. Find the ®nal KG on arrival at the port of destination.
5 A ship has a light displacement of 2000 tonnes (KG 3.6m). She loads 2500 tonnes of cargo (KG 5 m) and 300 tonnes of bunkers (KG 3 m). The GM is then found to be 0.15 m. Find the GM with the bunkers empty.
6 Ashiphasadisplacementof3200tonnes(KG 3m,andKM 5.5m)She then loads 5200 tonnes of cargo (KG 5.2 m). Find how much deck cargo having a KG 10 m may now be loaded if the ship is to complete loading with a positive GM of 0.3 m.
7 A ship of 5500 tonnes displacement has KG 5 m, and she proceeds to load the following cargo:
1000 tonnes KG 6 m 700 tonnes KG 4 m 300 tonnes KG 5 m
She then discharges 200 tonnes of ballast KG 0.5 m. Find how much deck cargo (KG 10 m) can be loaded so that the ship may sail with a positive GM of 0.3 metres. The load KM is 6.3 m.
8 A ship of 3500 tonnes light displacement and light KG 6.4 m has to load 9600 tonnes of cargo. The KG of the lower hold is 4.5 m, and that of the tween deck is 9 m. The load KM is 6.2 m and, when loading is completed, the righting moment at 6 degrees of heel is required to be 425 tonnes m. Calculate the amount of cargo to be loaded into the lower hold and tween deck respectively (Righting moment W GM sin heel.)
9 Ashiparrivesinportwithdisplacement6000tonnesandKG6m.Shethen discharges and loads the following quantities:
Discharge 1250 tonnes of cargo 675 tonnes of cargo 420 tonnes of cargo Load 980 tonnes of cargo 550 tonnes of cargo
KG 4.5 metres KG 3.5 metres KG 9.0 metres KG 4.25 metres KG 6.0 metres