186 



THE BELL SYSTEM TECHNICAL JOURNAL, JANUARY 1952 



and: 



2CYx = 1 - (1 - ilfi2)(l - k') {1 -\-[k- Mn(l + k)(l - fc")]'l 



- Muil - Mn){l + kf{l- /c'" 



-\-[k - r - Mi2(l + /<;)(1 



(33) 



/v")f 



Region IV — Complete initial heel series. A complete initial heel series 

 impHes that when the heel has come to rest, the front is still away from 

 the stop. When the front finally meets its stop, the situation is identical 

 with that just prior to the zero impact except that the energy content of 

 the system is lower. The pattern must then repeat with diminished 

 amplitudes. For this region we recognize two groups of cases. The first 



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Fig. 9 — Relative maximum rebound amplitude for M12 = 1/6. 



