﻿Wire or Tape including the Effect of Stiffness. 115 



components of. the tension at the points 2 and 1, then we 

 know that N 2 — Y l = wl. I£ T 2 and T x are the full tensions 





Y 









^ 





t 













r n - 





T *^s 



^?' 







c 



< 



1 









v l 













FIC. 



3. 





and li—y 2 —y l the difference in height between the points, 

 Ave have 



T 2 2 = w 2 c 2 + V 2 2 ; IV = w 2 c 2 + Y i 2 ; T, - T x = wL 

 ... T 2 2 -IV =Y 2 2 -V 1 2 ; 

 .-. (T 2 +T 1 >A = (V 2 +Y 1 )^; 



V, = 



TV* 

 2 



+ io 



(¥). ■ • <m 



and since io 2 r = T 2 2 -— V 2 2 we have 



-so-sm (>-*)' 



w 2 Z 2 



IK 



• • (28) 



as found by Professor and Captain Henrici. 



Now we have to a first approximation // = /cosf, so we 

 ma)' write 



and if this be substituted in equation (21) we have 



v 7'.' • 9 t» 



wrr sir £ 



241 2 t^ 1 2T - "/ -4'IV' 1 



n^ 4 sin' 2 X (J 7cos»g\ 



+ T 4 1 /i «•' cos f V "'' i/2 1 ^ 640 ~ ' ' : ' 2 ' 

 2 l\ 2T ) ~4T 2 2 1 



. (30) 



I 2 



