Table 1. Linearized Spring Constants of Various Types and Sizes of Nylon Rope. 



Static Load 

 (\vt. of ALVIN in water) 



4'/2-inch Plimoor 



8-inch Plimoor 



4V2-inch Samson 

 2-in-l 



L = free, unloaded length of rope in feet 



System Natural Frequency 



The linearized spring constant can be expressed as 

 4^ (rope, static load) 



8-inch Samson 

 2-in-l 



(12) 



where 



and 



lA - constant based on the type of rope and static load point. Various 



values of \p are given in table 1. 

 L = free, unloaded length of rope (feet) 



Using eq. (12), the equation for natural frequency becomes, 



. _- /ir__^/T: 



"Vat, VmZ. 



(13) 



and m is given by eq. (7). 



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