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

Exam Question

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

(b) The half ordinates of the waterplane area of a ship of 8200 t displacement, 90 m long are 0, 2.61, 3.68, 4.74, 5.84, 7.00, 7.30, 6.47, 5.35, 4.26, 3.16, 1.88 and 0 m respectively. It floats in sea water of 1.024 t/m3. Calculate the change in mean draught when moving into water of 1.005 t/m3. (10)

Reference Answer

### (a) Effects of Adding Mass on Draught and Trim
Adding a mass to a freely floating vessel has primary effects on its draught (bodily sinkage) and its trim (longitudinal inclination). These effects are governed by Archimedes' principle and the principles of moments.
**1. Effect on Draught:**
* **Governing Principle:** According to Archimedes' principle, a floating body displaces a weight of fluid equal to its own weight. When a mass is added to the ship, the total weight (displacement) of the ship increases.

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