QS Branson — Transverse Vibrations of Helical Springs. 



The above table makes it seem very probable that the fre- 

 quency of vibration of a spring would be approximately con- 

 stant through a long range of lengths, if it conld be so made 



T 



that =- would be constant along the linear part of the length- 



tension curve, or in other words if x in the equation T=mL+ai 

 conlcl be made zero. Spring 7 was made with this end in view. 

 It differed from all the other springs made by having its turns 



T. 



n. 











»- 













55- 













50- 







y 







45- 

 4.0- 

 35- 













3o- 













25- 













20- 



- 19.0 . 











15- 



-IS J f 











10- 



- 16 f X 



^^^^ )enith-/rrfMrncy < 



urvr. 







5- 



its f 















17.0 . 1 









, L 



20 22 24 26 28 JO ii 



wound so tightly together that they did not become entirely 

 separated until loaded with about 30 grams. The winding of 

 this spring was more difficult than that of the others, and it was 

 not nearly so uniform, but its frequency w T as very constant, 

 differing only by one-twentieth of a vibration per second when 

 its length was increased from 15 cm. to 32 cm. 



The results for spring 7 are given in Table YIII, and the 

 values are plotted in fig. 7. 



