		       2   7

			  2 .

     _2ਭ:.1 ୠ  ⠭  ⭨	ࡥ,
		     1ᥪ㭤,  䨪஢ , ⠭-
		     1.

     2 ࠡ:3 1祭  ⥫쭮 , 業-
		  1 ﭨ ७  筮 १⮢  -
		  1  ७,  ஢ઠ  ண  
		  1⮭  ⥫쭮 .

		     _I.  ⭨ ࡥ.

      ࠡ 砥  ⥫쭮 .   -
, ᯥਬ⠫쭮 ஢ ࠢ ⮢  -
   

			    J7e 0= 40			       (1)

 J -  樨 ⥫;  7e0 - 㣫 ᪮७;
    40 - 㬬  ஥権   饭 ⮢ 譨
	    ᨫ.
      .1.	奬᪨  ਡ,     ண
㤮 ᫥ ࠢ (1).  뢠 ⭨ ࡥ-
.  ⭨ ⮨    ভ,  ९  㫪
  㣫   . 㫪   誨 ࠧ ࠤ-
ᮢ (2r41 0 2r420) ᠦ   .   ९  訯-
, ⠪   ⥬  ᢮   ਧ-
⠫쭮 .  樨 ਡ  , । -
९  ভ 樫᪨  ⭮ .  
  ਪ९  誨,   ஬ , ॡ襭
१ , 襭 ଠ ⭮ .
     ᫨, ⠢   誨,  ਯ   㧮 2
  2h0,   ⥬ ,    ᢮ , 
 客  ⢮ 騩  20.

			      = T770d / 2			  (2)


			      - 2 -
 10mex07-1.pcx 65 90
		 1















			   .1.

  d -  誨,  - 殮 .
    ⢨  ⮣ ﭭ  客 稭 -
  㣫 ᪮७ 7e0.  祢,  饭 客 
㯠⥫쭮	   㧮 ந室   ⥭-
樠쭮 ࣨ 㦥  .  ᫨	  뢠  
ࣨ ᫥⢨ ७  訯 ᥩ 客  , 
 ,	 ⥭樠쭠 ࣨ 2W0  室 
  ࣨ 㯠⥫쭮    㧮 2W0'
  ࣨ 饭 客  2W0".    ,	
ଠ   4 2h

			 Wn = W' + W"
1.0

			     mV52   0 5 0J7w52
		      m40gh =   + 	 ,		  (3)
			      2       2
0

   J  -  樨 客,
      m40 -    㧮,
      g  - ᪮७ ᢮ ,
      V  - ᪮ 㯠⥫쭮   ( ᪮
	    孮 誨).

			      - 3 -

      7w0  - 㣫 ᪮ 饭  客  (誨).
      (3)  ८ࠧ,     -
   ᪮ﬨ:
1.0

			   V	 2V
		      7w0 =  = 			  (4)
			   r	  d

⠢  (4)  (3), 室:

			   m40V520     2JV52
		    m40gh =   + 			  (5)
			    2	     d52

㤠
		       m40d52 0(2gh - V520)
		   J =  		      (6)
			      4V52

        㧮 ࠢ᪮७ ,  ᫥⥫-
,

				     2h
			    V = t = ,
				      t
0

   - ᪮७   㧮 .
     ⠢ ᫥ ࠦ   (6),  砥 -
⥫    ।  樨 -
:
1.0
			  m40d520	 gt52
		     J =  (  - 1)		      (7)
			   4	 2h
0

     ⮡ 뢥   ᫥  ᨫ 20, 襬
ன  ⮭  㧠 2 0(ଠ  㧮):

			m40a =  -  			  (8)

 2m0  -      㧮,  2a0 -  ᪮७.
      ࠢ (2)  (8) 砥,    ᨫ	殮

		      = r = m40(g - a)r.			  (9)

     ᪮७ a 易  㣫 ᪮७ 7e0 ᮮ⭮襭

			      - 4 -

			  7e0 = a/r				 (10)

     ஬ ⮣  ⭨   ᨫ ७   240.
 ⮬ ⮣ ࠢ (1)  

		  m40(g - a)r - M40 = Ja/r.		     (11)

     㫠 (11)      ᪮७ 20,	஥ 
  ⥬,   ⮬ 樨 2J0.   ࠢ  (11)
室 ᪮७ 2a0 .  ᪮७  쭮 
।.
     ⢨⥫쭮,  ६ 2t0,  祭 ண ଠ
 㧮 ᪠  ﭨ 2h0,   ᪮७ 2a0:

                           a = 2h/t52 0                        (12)

     
		     2h 	      2h
	     m40(g - )r - M40 = J 		     (13)
                     t520               rt52
{ESC}
       (13) 室 ⭠	稭  -    ᨫ
७ 240. , ⨢ ⭮,   ᨫ ७ ,
⥬     ⮫쪮 ,  ⮡   㫥  (9)  
뫮 ७.  ᫨  240 = 0,    㡥, 
१   ⫨  ᨬ  (9).	  
浪 稭 ᯥਬ⠫쭮 । 240   㦭, -
筮,	ᤥ  砫 ࠡ.   ⮣,   ᪮쪨
㧮 㢥稢 ᨫ 殮 20 ,  쭮 -
祭 2m40,  ன ⭨  . 쭥訥 -
७  㦭  ஢    㧠 ᮩ 2m4 0> 102m4.  0 
 ⭮⥫ ஫  ᨫ	७	  㬥,
᫨   ᮩ 2m40 >> 2m40, ⨬,  2m0 = 10522m40. -
   ⠪   稭. ࢠ - 㢥祭  㧠
ਢ  㢥祭 ᨫ  2N0  ,      
 ᨫ ७
			      40 = fNr,

			      - 5 -

 f - 樥 ७,
    r -  ᨫ ७.
      稭 ⮨  ⮬, 㢥祭 2m0 㬥蠥 -
  2t0,  , 蠥 筮 ७ ᪮७ 2a0.
       祭 ⮢ 樨 2J410  2J420    ⮢
ᨫ  2410   2420 ,  室  ᭮ ࠢ ⥫쭮
 ,   ᮮ⢥饥 祭 㣫 ᪮७ 7e41 0
7e420.
      㣮 ஭ 㣫 ᪮७ 7e410   7e420      
㣨 , 室   ᪨ ᮮࠦ,  -
,  (10)  (12)
			     	   2h
			7e0 =70 = 			     (14)
			     r	  t520r

        祭 ⮢	樨  客
  ࠢ    祭ﬨ,  ᫥  饨
㫠.
      樨  客 ࠢ 㬬 ⮢ ⠢ -
⥩ - ⮢,  饩   ভ,  ᠦ 
  樫஢:
1.0

		  J = J40 + 4J4樫0 = 4J4c0 + 4J4樫

			       m40L452
			 J40 = 
				 3

		     m4樫
	     J4樫0 =  [H520+ 3(r41524 0+ r42520)] + m4樫0 b520,
		      2
0
: b - ﭨ  ᪨, 񭭮  ভ ⮢ 
	  饭,
     4 0-  樫,
     r410- 譨 ࠤ 樫,
     r420- ७ ࠤ 樫 .
     ᪮ 뢮  (7) ந  । 
 ࣨ  ८ ᨫ ७ ७० ,  -

			      - 6 -

祭 ⮢ 樨,    ,  ᪮쪮 ॢ蠥
, 2J40 > 2J40.
1.0

          7(0 L4520    R4527 ) 0 7   (0 l4520    r4527     )0   1
J=J400+ 4m405 0+  + 4m405 0+  + b520+  m40d520   (15)
          795  30       527   0 0 7   95 12   0 5 47       00   8

0
 J400  - 㬬  樨	㯥⮣ ᪠  ;
    b	- ﭨ   饭  㧮  ⮢;
    m40  -   㧠  ⮢;
    L40 -  ভ ⮢;
    R40 - ࠤ ভ;
    m40 -  ভ  㧠;
    r40  - ࠤ 樫᪮ 㧠  ⮢;
    l40  - ࠧ 樫᪮ 㧠;
    d	-  㫪;
    m40  -  㫪.

		     _II. 冷 ७.

     -     ॣ㫨㥬   ᭮ ਢ 
ਡ  ⨪쭮 . ஢,  ⮫  
  孥  7 0᪨ 稪;
     - ᤢ  ஭⥩   ࠭  ,   ⠪
⠭,  ⮡    室 १ । ࠡ祣
 ᪨ 稪;
     - ᮥ ᪨ 稪 1  2 ᮮ⢥⢥ 
 1  2 ᥪ㭤;
     - ந  ਡ;
     -  ⥢  ⥫   ⠭;
     -   (), ஢, 뢠   -
  ᪨ 稪;
     - ६    孥   ஢,  -
  奬  ﭨ ;
     -    ()  ஢,  ந諮  
奬,	ᥪ㭤 ਫ ६ 宦  ମ
奬;
     -   ()  ஢, ந諮  㫥
 ⥫  ᢮ ஢ ஬⮬;

			      - 7 -

     - ७   孥 , ⦠  ()
 ஢, ந諠  ୠ ஢ 奬.

			 _III. ७.

     ।⠢   ᯥਬ⠫쭮 ᫥  -
ᨬ.
     ࢠ - ᨬ 㣫 ᪮७ 7e0   譥
ᨫ 40 = mgr  ᫮,    樨 2J0  -
ﭭ.
     ᫨   न ⪫뢠 㣫 ᪮७  7e0,    
    -2 mgr0,  ,  ᮣ᭮ (10), ᯥਬ⠫ 窨
   .   (11) ,   ⮩ אַ
ࠢ 21/J0,  窠 祭     240.
     ᫨ ᯥਬ⠫  ⢥ত   -
 7e0  2mgr0, ,  㯨  祭 ன ᨬ-
 - ᨬ  樨2 J0  ﭨ 2R0 㧮  2m40  
 饭 ⭨ (.18).
     ᭮ ⥮६ -⥩

			  J(R) = J400 + 4m40R52

     ᭨,  ஢  ᨬ ᯥਬ⠫쭮. 
⮣ ८ࠧ㥬 ᮮ⭮襭 (11), ७ॣ    -
稭 (⮬ ᨫ ७ 240)  ࠢ  ⮬ 2mgr0.  
(10)  (11) 
1.0

	     a	   m40(g - a)r - M40	   m40gr
	7e0 =  =  =  	 (16)
	     r		 J		J400 + 4m40R52

     ⥫쭮

	 g	J400 + 4m40R520	    J400	   m40R52
	 =  =  + 4 	     (17)
	 a	  m40r520	       m40r520	   m40r52
0

      (17) ⭮,   ᯥਬ⠫쭮 ஢ ᨬ
(17): 㦭, ࠢ ﭭ  2m40 㧠,  ᪮७
2a0  ࠧ  2R0 㧮 2m40  ᯨ.   -
७ 㤮 ࠧ   祪  न⭮	᪮

			      - 8 -

XOY,   = (R/r)520, y = g/a.
     ᫨ ᯥਬ⠫ 窨  ।  筮	७
   ,    ⢥ত ᨬ (17),  -
  

			  J(R) = J400 + 4m40R52

     ⬥⨬,   뢮  (17)  ७ॣ ⮬
ᨫ ७,  ..  ⠫,  240 << 2mgr0. 祭 20 祭
 䨪 ᨬ 7e0  (mgr)  2R0 = const.    
  ॣ㧪 ⠪,  ࠢ⢮ 2mgr0 >> 20 
믮.
       ᨫ ७  業  .  ⮣ -
⨬,	 ᫨ ⭨  砫  頥    㣫
᪮ 7w4o0,    ⠭    㣮 7f0, -
।塞  ᮮ⭮襭

		      J7w4o520/2 = A4 0= M47f0		       (18)

 J7w4o520/2 - 砫쭠 ᪠ ࣨ 饣  ⭨-
,  40 - ࠡ ᨫ ७.   (18) ।,   
ᨫ ७  ﭭ 稭  易  㣫 ᪮-
७ ᮮ⭮襭

			    J7e4o0 = 4 0   4			0 (19)

 7e4o0 - ᪮७, ।塞 ⮫쪮 ⮬ ᨫ ७.
      (18)  (19) 室

			    7w4o520 = 27e4o7f0			     (20)

      2n0 -  ᫮ ⮢,  ஥  ⭨  
⠭,    2T4o0  -  ਮ 饭 ⭨  砫 .
 7f 0= 27p0n, 7w4o0 = 27p0/T4o0   (20) 砥

			  7e4o0 = 7p0/(nT4o520)5    0   5		  0 (21)

      ᭮,    । 7e4o0: 㦭  -

			      - 9 -

  2T4o0,    ஥ ᮢ蠥  ,    ᫮ 2n
⮢ ⭨  ⠭.      쭥  ७
㦭 ᫥, ⮡ 믮﫮 ࠢ⢮ 7e4o 0<<7 e0.

			  _IV. .

     1. ⠭   㧠   ﭨ 2R410,  
  ௥ ᯨ.    ᯨ ਢ  -
ਧ⠫쭮  ,  ६   ⨢ ᯨ-
,   ࠢ,    ﭨ 2R410. 稢
⮢  905o0   ࠢ  㣨 ᯨ. -
,  ⮢ ࠢ襭    㧮 (-
稢 ⮢).
      ᪮쪮 ࠧ ਢ ⭨ 	饭,  
ࠧ    ⠭. 㬠,   ᭮-
  ⮢ ।,   ᡠ஢ ⭨.
     2. । ਡ񭭮   2m40,   ன
⭨ 稭 ,   業  ᨫ ७  ᮮ-
襭
			     47~0 m4o0 gr,

 r - ࠤ 誨,  ஬ 襭  m4o0.
     3. 業  ᪮७ 7e4o0,  饥  ⢨ 
ᨫ ७.   ⮣ ਢ ⭨    饭,  
६ 2T4o0,   ஥  ᮢ蠥  ,    ᫮
⮢ 2n0 ⭨   ⠭.  ⥬ 	㫥  (21)
᫨  7e4o0.  ७   ࠧ  ࠢ ᮮ⢥-
騥  祭 7e4oi0.
     4. ।  ᯥਬ⠫쭮 ᨬ 㣫 ᪮-
 7e0 ⭨   ਫ ᨫ 2mgr0.   ⮩ ਨ -
७    樨  ⭨   ⠢ ﭭ:
J = const.
      । ᨬ 7e0 = 7e0(mgr)  ६ 2t0,  
஥  2m0 ᪠  ﭨ 2h0.  ७  ६	2t
    㧠  ﭭ 祭 2h0   ࠧ.
⥬  । 祭 ६  㧠  㫥

		       t40 = 1/3 (t410 + t420 + t430)

			     - 10 -


 । । ᪮७ 㧠  ᮮ⭮襭 (12):

			    40 = 2h/t452

+
 ७  ᫥     祭  	2m
㧠,		   2m40  믮 ࠢ⢮ 2m40 >>
2m4o0,  2m4o0 -  ॣ㧪, ࠣ饣 ⭨ (.2).
      ७   ⠡.1.
						   1.
     Ŀ
      t410  t420	 t430   t40  7D0t    m40  a47 0 7De0   7e47 0m40gr
     Ĵ
     	  	          	  	          	      
     	  	          	  	          	      
     	  	          	  	          	      
     

		  h =	  , 7D0h =	, r =	   , R =

     祭 ᯥਬ⠫쭮  窨  ⫮  न 
᪮ x = mgr,  y = 7e0    ன  䨪  ᨬ
(. 2,).

            7e0                         g/a 
	       			   
	       			   
	       			   
	       			   
	      		   
			mgr			    (R/r)
	     ) 			  )

				.2.

     5. ஢ ᯥਬ⠫쭮 ᨬ (17).    ⮣,
 ﭭ  㧠 2m40 >> 2m4o0, । ᪮७ 2a0 -
 2m0   ࠧ  2R0  ᯨ 㧮 2m40.

			     - 11 -

          2R0 ७ ६  2t0 㧠 2m0 
 2h0   ࠧ.
      ७   ⠡.2.
     祭 ᯥਬ⠫ 窨   ⮬ -
⥩	 न⭮ ᪮ x = (R/r)520,  y = g/a  ன
䨪 ᨬ y = y(x) (.2,).

						   2.
	Ŀ
	 R  (R/r)520 t417 0 t420  t437 0 t40  7D0t   a  g/a
	Ĵ
	   	    	         	         	
	   	    	         	         	
	   	    	         	         	
	
           r =    ,   m40 =    ,   h =        ,   7D0h =

    6. த ..2-5  㣮 ࠤ 誨.

      _V. । 譮 ७  樨.

    ⭮⥫쭠 譮 ७  樨 ।-
  㫥:
			 J40 - J4
		    7d0 =4 0 770 100	/ % /
			    J4

 J4 0-  ⥮᪨  樨,  ।塞  㫥
	 (15).
    J4 0- ᯥਬ⠫  樨, ।塞  -
	  (7).

		     _VI. 筮 ७.

     譮 ।   宦 㧠   7+01 
     ࠡ 譮 ७ ६	    0,02 %
     ࠡ 譮 ।  樨   8 %


			     - 12 -

		    _VII. ஫ .

     1.  뢠 ⮬ ᨫ?   ࠧ୮  
 ७  ⥬ ?
     2.  뢠 ⮬  樨  ⥫	⭮⥫쭮  
饭?
     3.  ᭮  ⥫쭮 .
     4.  ।  ᨫ,  ਢ饩  饭 -
 ࡥ?
     5. 祬	६  㬥  ᨫ ७?  
,    稭       ࠢ-
 (11).
     6.   稭   ᯥਬ ᫥  
襩 筮?
     7. 㫨   ⥮६ -⥩.



