﻿74 
  Prof. 
  Barton 
  and 
  Miss 
  Browning 
  on 
  

  

  The 
  graphs 
  referred 
  to 
  are 
  given 
  in 
  fig. 
  1. 
  

  

  We 
  may 
  now, 
  from 
  the 
  data 
  in 
  the 
  same 
  tables, 
  plot 
  

   graphs 
  with 
  the 
  values 
  of 
  the 
  frequency 
  ratios 
  p 
  : 
  q 
  as 
  ordi- 
  

   nates, 
  the 
  abscissae 
  being 
  the 
  corresponding 
  values 
  of 
  the 
  

   coupling 
  7. 
  

  

  These 
  are 
  shown 
  in 
  fig. 
  2, 
  separate 
  graphs 
  being 
  plotted 
  

   for 
  mass 
  ratios 
  1, 
  5, 
  and 
  20 
  and 
  lengths 
  equal, 
  and 
  also 
  for 
  

   lengths 
  3 
  : 
  4 
  and 
  masses 
  equal. 
  

  

  y 
  

  

  t 
  

  

  70 
  

  

  

  

  

  

  

  

  60 
  

  

  

  

  

  

  

  

  

  

  

  

  

  

  50 
  

  

  

  

  

  

  

  ^•\ 
  

  

  

  

  

  

  

  

  

  

  

  

  

  

  *?\ 
  

  

  40 
  

  

  

  

  

  

  

  

  

  

  

  t 
  

  

  j 
  

  

  30 
  

   20 
  

  

  10 
  

  

  

  

  

  

  1 
  

  

  

  

  

  

  

  

  

  

  

  

  

  

  1 
  

  

  i 
  

  

  I 
  

   1 
  

  

  

  

  

  

  

  r 
  

  

  \ 
  

  

  1 
  

  

  

  

  

  

  

  

  

  i 
  

   i 
  

  

  ; 
  

  

  0-5 
  i 
  1-5 
  2 
  2-5 
  37? 
  

  

  Droop 
  ■*■ 
  Length. 
  

  

  Fig. 
  1. 
  — 
  Couplings 
  and 
  Droop. 
  

  

  With 
  the 
  separate 
  frequencies 
  equal 
  and 
  a 
  given 
  coupling, 
  

   it 
  may 
  be 
  noted 
  that 
  the 
  greater 
  the 
  inequality 
  of 
  the 
  masses 
  

   the 
  greater 
  is 
  the 
  inequality 
  of 
  the 
  frequencies 
  of 
  the 
  result- 
  

   ing 
  superposed 
  vibrations 
  of 
  the 
  coupled 
  system. 
  

  

  