278 -32- 



the ha If -momentum s ^ , 





or 



1 o-w2 



o o 



df 

 o 



(3»11) s^ = - — - I da 



Vl + fo 





' - ka-V4 



da , 



a - ka 



U3lng (3»6). The first term on the right hand side of 

 (3. 11) is the downward momentum due to the rigid wall, and 

 the second term is the upward momentum due to gravity. 

 Again taking k = .2, using the approximation 



. a df /doc a 



Jl + f ^ = 1 + ■^- , ^' = 1 - ^^ , and evaluating 



o 

 o 



these integrals numerically, we get the following expression 

 for the full moment'om s; 



,3.12, --1^ - ^)^ ^^ |.704.^ 



See appendix III for the numerical evaluations. 

 3« The stabilized position . 



By the principle of stabilization, the maxlmvun peak 



