Br on son — Transverse Vibrations of Helical Springs. 



T. 

 

 20 

 40 

 60 

 80 

 100 



Mass of 



Table V. 



la L 46 





12-18 





12-18 



13-63 





13-63 



15-10 





15-08 



16-56 





16-55 



18-03 





18-03 



1953 





19-51 



of 4a = 3 



769 





4b = 3 



783 





Springs 4« and 45 are certainly similar enough for the pur- 

 poses of this investigation. The relation between the length 

 and tension was determined with 45 and the relation between 

 the length and frequency with 4a. Table VI and fig. 6 give 

 these results. 











Table VI. 









, Spring 



46 ( 



, 







-Spring 4a 







T. 





L. ' 



L. 



Observed 



n. Calculated 



n. Difference 









12-18 



13 



9 



82 



10 



•21 



-0-39 



20 





13-63 



14 



12 



56 



12 



•72 



— 0*16 



40 





15-08 



15 



14 



45 



14 



•55 



— 1-10 



60 





16-55 



16 



15 



92 



15 



•96 



— 0-04 



80 





18-03 



17 



17 



11 



17 



•11 



000 



100 





19-51 



18 



18 



09 



18 



07 



+ 0-02 



120 





21-00 



19 



18 



91 



18 



88 



+ 0-03 



140 





22-50 



20 



19 



61 



19 



•58 



+ 0-03 



160 





24-00 



22 



20 



75 



20 



72 



+ 0-03 



180 





25-51 



24 



21 



63 



21 



63 



o-oo 



200 





27-05 



26 



22 



31 



22 



36 



— 0-05 



220 





28-66 



28 



22 



85 



22 



98 



-0-13 



240 





30-23 



30 



23 



26 



23 



48 



— 0-22 



260 





32-03 



32 



23 



58 



23 



92 



— 0-34 



280 





33-90 



34 



23 



81 



24 



30 



— 0-49 



300 





35-90 



36 



23 



88 



24 



63 



— 0-75 



320 





38-38 



38 



24 



02 



24 



92 



— 0-90 



340 





40-83 



40 



24 



02 



25 



18 



— 1-16 



360 





43-80 



42 



24 



01 



25 



42 



-1-41 



380 





46-60 



44 



23 



88 



25 



63 



-1-75 



400 





50-00 



46 



23 



76 



25 



81 



— 2-05 









48 



23 



•60 



25 



99 



— 2-39 









50 



23-44 



26-14 



-2-70 



Data used in the calculations for spring 4a : 







M 



= 3-769 







m = 



13-50 





L, 



= 17 







n l = 



17-11 





L 2 



= 24 







n 2 : 



21-63 





y 



= — 0-596 









x 1 



— — 



155-6 



