Class 4 (4th Engineer) SC&S 📅 Jun 2023

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/m 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 (6 Marks)
**1. Effect on Draught:**
Adding a mass to a ship increases its total weight, and consequently, its displacement. According to Archimedes' principle, a floating body displaces a weight of fluid equal to its own weight. To support the additional mass, the ship must displace a greater weight of water. This is achieved by increasing the volume of the underwater portion of the hull.
* **Bodily Sinkage:** The ship sinks deeper into the water, resulting in an increase in the mean draught.

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