and 



y, = distance the center of buoyancy is below the 

 center of gravity. 



The total moment then is: 



M = -p- (x^^ - X ^)6e + Wy, 60, 

 3 b a ^b 



and the spring constant becomes: 



Expressed in traditional naval architecture terminology, this reduces 

 to: 



where 



GM = metacentric height. 



4. 



Coll€ 



jcted Results. 



KH^^ = KH 



31 





•^11 



- -^12 = 



= "^13 = 









•^22 = 



- Pg[\ - 



a-" 







■^23 



= ■^32 = 



^Pgt^a 



' - ^'^ 









■^33 = 



3 ■■ b 



- %^i * 



Wy^ 



• 



(A-9) 



78 



