SECTION A 1. A 175 m long. 24 m beam ship has a displacement of 36 000 tonne. The hull form is a semi- ellipsoid in the lower part, extending vertically upward so to feature a 18 m depth, as shown in Figure 1. The cross-section features a semi-ellipse shape in the lower part and a rectangle shape in the upper part. The semi-ellipse has a height of & m. (a) Calculate the waterplane arca coefficient Cwp. (5 marks) (b) Calculate the block coefficient Ca. (5 marks) (c) Calculate the midship coefficient CM. (5 marks) (d) Determine the vertical center of buoyance of the ship. (10 marks) Note that: . Density of sea water is approximately 1025 kg/m'. Volume of an ellipsoid is calculated as V = = mabe, area of an ellipse is A=xab, where a, b and c are the concerned radius and axes in longitudinal, transverse and vertical direction, respectively. . Vertical centroid of a solid semi-ellipsoid lies on the axis of symmetry of ac from the base ellipse as shown in Figure 2 Note: Question 1 continues on page 2. Figure 1 & 2 appears in page 2. MA4856 8 m Figure 1