and at s = i as 



T 8-i = T U + ^l S = i ^ 



where 



%-, = T D + p. g £ stn 



dynamic tension 

 Therefore, the ratio, stalic tenslon at upper end' can be 



written at the lower- end as 



T s=Q _ *_o + At1s=0 [2' 



T u Tu T u 



and at the upper end as 



T c= 



s=x 



1 + 



^|s=i [24] 



Differentiating Equation [19] and substituting the results 

 in Equation [20] yields 



CD P CD r - l 



AT = AE r- — ^rr sin cot cos r- s .^J 



a sin E£ a 

 a 



The change in tension, AT, at any point along the cable for the 

 fixed end case can be computed from Equation [25]. 



LOWER END FREE TO MOVE 



If a body of mass H is attached to the lower end of the 

 cable, the boundary condition, applying Newton's Law, can be 

 written as 



