The boundary condition at the load is given in the form 



(at')2 ^^' 



Bu 



^ = 



(2) 



A secondary boundary condition Is that the displacement of the suspension point is 

 known for all time. 



In the above equations, u(x, t) is the displacement at time t of a point on the 

 cable originally located at a distance x from the suspension point. Hence the second 

 boundary condition is that 



u(o, t) is known for t > 0. 

 The following nomenclature applies: 



c p cS 

 ■^c 



PcSL 



and 



M 



2 E 



c = — 

 P. 



'•-r 



B = 



2M 



(3) 



(4a) 



(4b) 



(4c) 



(4d,e) 



(4f) 



p - density of the cable 



S = material cross-sectional area of the cable 



E = modulus of elasticity of the cable 



K = constant of friction on the cable due to the surrounding water 



Notations are defined where they first appear and are summarized for convenience 

 on a foldout page at the back of the report. 



