# Chapter 6

**1. In a vessel of 8800 tonnes displacement and KG 6.2m, 200 tonnes of cargo was loaded in the lower hold 1.7m above the keel. Find the final KG**.

Solution:

Given:-

Weight = 8800t, Original KG =6.2m, Cargo loaded = 200t, KG = 1.7m

Final W – 9000 t Final VM 54900 tm

**Final KG = (Final VM/ Final W)**
Final KG = (54900 / 9000)
= 6.1m

Here ‘VM’ stands for vertical moments.

**2. 600 tonnes of cargo were discharged from a vessel from the upper 11m above the keel. In the original KG displacement were 6m and 12600 tonnes, calculate the KG.**

Solution:-

Given:- Weight =12600 t Original KG =6m Cargo discharged = 600 t,

Cargo discharge 11 m above the keel

Final Weight =12000 t Final VM =69000tm

**Final KG = (Final VM / Final Weight)**

Final KG = ( 69,000 / 12000)

= 5.75m

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**3. In a vessel of 9900 tonnes displacement and KG 4m, a heavy lift of 100 tonnes is loaded on the UD (KG 15m ). Find the final KG**

### Solution:

Final W 10000t Final VM =41000tm

**Final KG = (Final VM / Final Weight)**
Final KG = ( 41000 / 10000 )
= 4.11m.

**4. 500 tonnes of cargo of discharge from the lower the lower hold (KG 3m ) of a vessel whose displacement and KG before discharging were 11500 tonnes and 6.3m . Find the final KG.**

Solution:

Given:-

Weight = 11500t Initial KG = 6.3m Cargo discharged = 500t, KG =3m

Final W =11000t Final VM =70950tm

**Final KG = (Final VM / Final Weight)**
Final KG = (70,950/11000)
=6.45m

**5. 500 tonnes of cargo was shifted 15 meters vertically downwards in a vessel of 10000 tonnes displacement. Find the effect it has on the KG of the vessel and whether KG increases or decreases.**

Solution:

Given:-