﻿Coupled 
  Vibrations 
  : 
  Unequal 
  Masses 
  or 
  Periods. 
  73 
  

  

  Table 
  I. 
  — 
  Masses 
  20 
  : 
  1 
  and 
  lengths 
  equal 
  

  

  Coupling 
  

  

  Bridle 
  Droop 
  

  

  Actual 
  Droop 
  

  

  Frequency 
  

  

  =(i 
  

  

  for 
  total 
  length 
  

  

  Eatio 
  

  

  7- 
  

  

  Pendulum 
  length. 
  

  

  229 
  cm. 
  

  

  p:q 
  = 
  V(l+j3). 
  

  

  Per 
  cent. 
  

  

  

  cm. 
  

  

  

  

  

  o-o 
  

  

  00 
  

  

  1-00 
  

  

  1 
  

  

  0-05 
  

  

  109 
  

  

  1025 
  

  

  2 
  

  

  010 
  

  

  20-8 
  

  

  105 
  

  

  3 
  

  

  0151 
  

  

  29-9 
  

  

  1-07 
  

  

  4 
  

  

  207 
  

  

  397 
  

  

  110 
  

  

  5 
  

  

  0265 
  

  

  48-1 
  

  

  112 
  

  

  10 
  

  

  060 
  

  

  85-9 
  

  

  1-27 
  

  

  20 
  

  

  1-53 
  

  

  138-6 
  

  

  1-59 
  

  

  30-4 
  

  

  3-00 
  

  

  171-8 
  

  

  200 
  

  

  Table 
  II. 
  — 
  Masses 
  5 
  : 
  1 
  and 
  lengths 
  equaL 
  

  

  Coupling 
  

  

  Bridle 
  Droop 
  

  

  Actual 
  Droop 
  

  

  Frequency 
  

  

  =(3 
  

  

  for 
  total 
  length 
  

  

  Ratio 
  

  

  7- 
  

  

  Pendulum 
  length. 
  

  

  229 
  cm. 
  

  

  p:g= 
  V(l+/3). 
  

  

  Per 
  cent. 
  

  

  

  cm. 
  

  

  

  

  

  

  

  

  

  1-00 
  

  

  1 
  

  

  0-027 
  

  

  60 
  

  

  1014 
  

  

  2 
  

  

  0058 
  

  

  133 
  

  

  1-029 
  

  

  52 
  

  

  0-141 
  

  

  28-2 
  

  

  1-07 
  

  

  94 
  

  

  0-259 
  

  

  47-1 
  

  

  112 
  

  

  25-5 
  

  

  1 
  

  

  114-5 
  

  

  1-414 
  

  

  395 
  

  

  2 
  

  

  152-7 
  

  

  1-732 
  

  

  48-8 
  

  

  3 
  

  

  171-8 
  

  

  2 
  

  

  Table 
  III. 
  — 
  Masses 
  

  

  equal 
  and 
  lengths 
  

  

  3:4. 
  

  

  Coupling 
  

  

  Bridle 
  Droop 
  

  

  Actual 
  Droop 
  

  

  

  Frequency 
  

  

  — 
  R 
  

  

  for 
  total 
  length 
  

  

  

  Ratio 
  

  

  — 
  P 
  

  

  7- 
  

  

  Pendulum 
  length. 
  

  

  229 
  cm. 
  

  

  

  p.q. 
  

  

  Per 
  cent. 
  

  

  

  cm. 
  

  

  

  

  

  

  

  

  

  

  

  1154 
  

  

  5-5 
  

  

  01 
  

  

  208 
  

  

  

  116 
  

  

  10-3 
  

  

  0-2 
  

  

  38-2 
  

  

  

  1-175 
  

  

  22-4 
  

  

  05 
  

  

  76-3 
  

  

  

  1-29 
  

  

  36-5 
  

  

  1 
  

  

  114-5 
  

  

  

  1-48 
  

  

  59-9 
  

  

  2-6 
  

  

  165-4 
  

  

  

  2-00 
  

  

  63-2 
  

  

  3 
  

  

  171-8 
  

  

  

  2-11 
  

  

  