97-41 
90 
80 
60 
~o 
%      50 
40 
30 
20 
10 
368  Mr.  J.  Morrow  on  the  Lateral  Vibration 
its  length),  the  frequency  is  given  by  a  formula  of  the  type 
and  the  ratio  ]/a/ya  is  given  by 
In  the  following  paragraphs  the  values  of  /3  are  given  for 
all  positions  of  the  load  and  for  ratios  of  mass  of  load  to  mass 
of  bar  varying  from  zero  to  1*0. 
§  22.  Bar  supported  at  both  ends. — In  this  case  the  values 
of  /3  have  been  obtained  from  the  last  equation  of  §  16.  They 
are  given  in  Table  I.  and  represented  graphically  in  figure  1. 
If  the  ratio  of  mass  of  load  to  that  of  bar  cannot  be  expressed 
