Figure 8 Derivation of conditions for stability
Figure 8 (a) shows a body of total weight W floating on even keel. The centre of gravity G may be shifted sideways by moving a jockey of weight Wj across the width of the body. When the jockey is moved a distance xj, as shown in Figure 8(b), the centre of gravity of the whole assembly moves to G'. The distance GG', denoted by xg, is given from elementary statics as