the upper end of the cable. From the symmetry of the functions t, a , r] , $ 

 about <t> = t/2, it is clear that this condition will occur when the tensions at 

 the two ends of the cable are equal and when the configuration of the cable 

 is completely symmetric about a line parallel to the direction of motion. 



Solutions of Equation [5b], and pertinent values obtained therefrom 

 are listed in Table 1 and are graphically presented in Figure 3- 



The cable configurations that are found by solution of Equation [5b] 

 are optimum configurations with respect to tension in one end of the cable 



32 



30 

 28 































/f = 



D.5 















































































26 

































0.3 







24 







































22 

 20 

 18 

































/0-2 













































































16 



































0.1 





12 









































10 

 8 

 6 



4 



































/O.C 



5 





































0.03 





































0.02 





































0.01 





^ 





































10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 



O - degrees 



Figure 3a - Variation of <t> with <t> and f . 



Figure 3 - Values Obtained for Optimum Cable Configurations 

 for High-Speed Towing 



