Class 4 (4th Engineer) SC&S 📅 Feb 2024

Exam Question

(a) What are the effects of adding mass to draught and trim of a ship? (6)

(b) A ship of 7000 t displacement has a water plane area of 1500 m2. In passing from sea water into river water of 1005 kg/m3 there is an increase in draught of 10 cm. Find the density of the sea water (10)

Reference Answer

### Part (a): Effects of Adding Mass on Draught and Trim
Adding a mass to a ship affects its overall draught (bodily sinkage) and its trim (the difference between forward and aft draughts). The effects are distinct and depend on the mass added and its location.
#### 1. Effect on Draught (Bodily Sinkage)
* **Principle**: When a mass `w` is added to a ship, the total displacement `Δ` increases by that amount. According to Archimedes' principle, the weight of the ship must equal the weight of the water it displaces. To support this new, larger weight, the ship must sink deeper into the water to displace a greater volume.

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