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2
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1061
1堭./ No8.䨫 .
            

              





















                    1 堭

                 2   No 8

          2    
                   2 .



























                       ᫠ 1996
.
 00 mex08-1.pcx 600 40
1ਭ: 䨫 , ᥪ㭤, 稪 -
                1 , , ࠧ ⥫  -
                1७.

      ࠡ - 祭 ⮤ 䨫୮   
। ⮢ 樨 ⥫, ᯥ६⠫쭮 ।-
 ⨬ ⮤ ⮢ 樨  ⥫,  ஢ઠ
⥮६    ७ ᥩ ⮢ 樨   -
୮ .
         稭  樨  -
 ⮬,    ᫮ -  室 室 -
ਬ⠫쭮.
       ᯮᮡ 宦 ⮢ 樨  ⢥म
⥫  ⮤ ⨫ . ⮤ 䨫୮
 -   砩.


         _஢ઠ ⥮६  ७ ᥩ ⮢
                          _樨.

     饭 म ⥫  ᪮ 窨 ७  -
뢠 室    쬠   ⨩.
,   ⨥  ᨫ  ⨥    
ᨫ    ⨥   - ⨥   樨.
  00                            ᬮਬ   -
                               ਠ쭮 窨     ᮩ
                               m, 㤥ন  㦭
                               ࠤᮬ r        -
                               - 裡 (.1). 
                                   -
                                 稭 ᨫ F. -
                               稭

                                    76  0 7 66
                                     = [Fr] = Fr cos7 a0,  (1)
          .1.


᫥7 0ࠢ7 0ந7 0稭7 0ᨫ7 0F   r cos7a
௥,  饭    ࠢ ᨫ  窨 
(業 饭),  뢠  ⮬  ᨫ  ⭮⥫쭮
窨 ,   ਠ  .
     稭 I = mr520,  ᫥ ࠢ ந  m
窨       ﭨ  窨  (業 -
), 뢠 ⮬ 樨 窨  ⭮⥫쭮  -
 .
     㤭 㡥  ⮬,   ᭮   
 ⥫쭮  뢠  :

                           = J(d7w0/dt)                   (3)

㣫 ᪮७, ਮ⠥  饭  -
ண 業, אַ ய樮쭮  ᨫ, -
  ,  ⭮ ய樮쭮  樨 -
ਠ쭮 窨.
.
                           - 2 -
            1堭./ No8.䨫 .

 10 mex08-2.pcx 30 40
     ᬮਬ ⥯ 饭 म ⥫   -
ன   ' (.2).
     10                    ᫨    ਫ    _
                          _ᨫ ⭮⥫쭮   窨  .(業
                          饭),      
                          ࠪ⨪ ᯮᮡ  ᨫ F
                          뢠 饭     
                           _⨥    ᨫ ⭮-
                          _⥫쭮 .
                          祢,    ᨫ ⭮-
                          ⥫쭮   ᮧ  ⮫쪮  ⮩
                          ⠢饩 ᨫ,   
         .2.           ᪮ ௥୮ .
     뤥  ()  म ⥫  ᮩ  7D0m4i0  
㤥  ᬠਢ  ⮫쪮   ⠢ 饩 
 ᨫ,    ᪮, ௥୮  
饭  '.  稬    ⠢ ᨫ १ 7D0F4i0.
 ᨫ 7D0F4i0 ࠧ 㣮 7a0   ⥫쭮    ࠥਨ
 7D0m4i0.  7a0 ⠥ . ,  ᮮ⭮-
 (3),  ⮣    ࠢ⢮:

                    M4i0 = J4i0(d7w4i0/dt) = J4i7e0/4i0              (4)

 7e4i0 - 㣫 ᪮७ .
     ᭮,  ⠪  ࠢ⢠     
 ⮢. ᫨   n ⮢,   ࠧ-
  ⥫,  稬  n  (4) ᮮ⭮襭:

      7D0F410r410 cos7a410 = 7D0m410(r410)527e410    ( 1- )
      7D0F420r420 cos7a42 0= 7D0m420(r420)527e420    ( 2- )    (5)
      7D0F4i0r4i0 cos7a4i 0= 7D0m4i0(r4i0)527e4i0    ( i- )
      7D0F4n0r4n0 cos7a4n0 = 7D0m4n0(r4n0)527e4n0    ( n- )

       ࠢ⢠  稬:

                   4n               n
                   7S0 7D0F4i0r4i0 cos7a4i0 = 7S0 7D0m4i0(r4i0)527e4i0          (6)
                  5i=1             i=1

 㣫 ᪮७ 7e0 ﭭ   ⮢,  -
⮬   뭥 -   㬬,    i  =  1,  2,
3,..,n.
     稭

                    = 7S4i7D0F4i0r4i0cos7a4i0                      (7)

।⠢ ᮡ  㬬  ⮢ ᨫ,    
 म ⥫,  ..   ।⠢ ᮡ 
  ᨫ,   म ⥫.
     稭

                   J = 7S0 7D0m4i0(r4i0)520                        (8)
                       5i

ࠢ 㬬 ⮢ 樨 ⤥ ⮢,   -
  ࠧ ⥫,  뢠 ⮬ 樨  ⥫  -
⥫쭮   '.
.
                           - 3 -
            1堭./ No8.䨫 .

 10 mex08-3.pcx 50 95
      ࠧ   म ⥫ ᭮   -
  ।⠢  :

                           = J7e  0                       (9)

     7e0 -  㣫  ᪮७,  ਮ⠥   ⥫,
אַ ய樮쭮 ਫ  ᨫ    ⭮
ய樮쭮  樨 J.
      ᠬ   ।  樨  म
⥫ (㫠 8)    ᪮筮  
.  ⮣ 㬬஢  樥  ⥣-
:
                              7!
                          J = 725 0r520 dm
                              71

      ⭮ ⥫ 7r0,   dm = 7r0dV ,  dV - -
 . 
                                 7!
                         J = 7r0r527 21 0dV
                                 715v

⥣஢    ࠭    -
 V.

                       _ ⮤.

     䨫  ⮨   㣫    (),
襭      ᨬ筮 ᯮ  設
ࠢ஭ 㣮쭨 ⠫᪨ ⥩ (.3). -
      ⠪ ᨬ筮 ਪ९   -
쪮 襣 , 祬  .  ९-
   ஭⥩    ᭠ 砣,    ண
⥬  ᮮ ⨫ .
 10                      ଠ  ᮢ ⨫
                           ⨪쭮  ,
                        ௥୮     ᪮  
                        室饩 १    ।;業
                        殮  ⮬ ६頥  
                        饭. ਮ  ।-
                         稭  樨 -
                        :  㤥 㣨,  ᫨  -
                         㧨      ⥫;
                        ⨬    饩 ࠡ.
                              ᫠  -
                         稪, 騩  -
                        ⥫,     -
                          ன⢠.    ⮪,
                        ९  ଥ, ᥪ
                        ᢥ⮢    ਮ. -
                        騥 ᨣ   
                        㯠   ਡ. 
                        㬥襭  訡  ᥪ㭤 
                        ᥣ    몫  
                        宦 ⭨ १ 
                        ࠢ  (    ⮪
       .3            ᥪ  ᢥ⮢ ).

                           - 4 -
            1堭./ No8.䨫 .

 40 mex08-4.pcx 45 60
     稬  ⥩ १ L,  ࠤ   -  R,
ࠤ 孥 ᪠ - r.     -
 㣮 7a0 ⭮⥫쭮 孥  ᪠  窠  ਪ९
    室   410  ଠ ਯ
   h (.4):      0      4

          h = OO410 = AC - A410C

    ࠦ    :

                (AC)520 - (A410C)52
            h = 5
                   AC + A410C

   ᪨  :

   7D0 ABC  AC520 = BC52 0- AB520 = L520 - (R - r)520           .4.

   7D0 A410B410C  A410C520= B410C520 - A410B4152 0= L52 0- (R52 0+ r52 0- 2Rr cos7a0)

:

       L520 - (R - r)520 - [L520  - (R520 + r520 - 2Rr cos7a0)]
  h = 50 =
                        AC + A410C

     2Rr - 2Rr cos7 a0    2Rr (1 - cos7 a0)       4Rr sin527 a0/2
  =  =  ; h = 
        AC + A410C          AC + A410C             AC + A410C

      让  ⥩   㣫 ⪫ 7a0, -
 㣫    祭 7a0,   稭 -
⥫  ࠢ 2L, ..

                        AC = A410C = L

       饭 砥:

                             Rr7a52
                         h =                       (11)
                              2L

     ᫨ ଠ   m,     ࠢ,
﫠   h,   饭 ⥭樠쭮  ࣨ
㤥 ࠢ

                            Rr7a52
                  Ep = mg                          (12)
                             2L

: g - ᪮७ ᨫ 殮.
       㣮 ࠢ, ଠ ਤ  -
 ࠢ  ᪮ ࣨ, ࠢ

                      1
                Ek =   J7w520                               (13)
                      2


                           - 5 -
            1堭./ No8.䨫 .

:  J -  樨 ,
      7w0 - 㣫  ᪮    ⨦ 
           ࠢ
      ᭮    ࠭  堭᪮  ࣨ
:

        1                  1   7{0 2 7pa0 7}520        Rr7a52
         J7w520  = mgh;       J 720720  = mg     (14)
        2                  2   7[ 0  T  7]0          2L

: 7a0 - 㣫 ᬥ饭 ,
       - ਮ  ,
      (14) 砥:

                   mgRr
              I =   T520                            (15)
                   47p520L

      뢮    (15)  뢠  ࣨ
 ७.   ⠪  쬠  㤭⥫.  
ࠢ 뢠 訬,  ᫨  ࣨ  -
ਮ   ࠢ  ࣨ   ⥬.  
ࠧ 㫠 (15) ࠢ, ᫨

                      7t >0 T   ,                         (16)

7 t0 - ६,   祭 ண 㤠  -
 ⢥ 㬥蠥 ( 2-3 ࠧ).
      ࠡ 祭  ४   -
  㦥, 祬 0.5%. ⨬ ᫮ । ६ 
 ᫮  ,  ஥ 室 -
   ७.
      㫥  (15)    ।  樨 
ᠬ ,  ⥫,   , . .  -
稭  ࠢ     ।⢥ -
७.
     쬠   ࠪ᪮ ⭮襭  ⥮६
 ७ ᥩ ⮢  樨,    :  
樨  ⥫  ⭮⥫쭮    ࠢ  樨
⥫ ⭮⥫쭮 ,  室饩 १ 業 殮  (J400)
ࠫ쭮  ,  ᫮    ந   
 ﭨ  ﬨ (ma520):

                        J = J400 + ma52

                    _ࠪ᪠ .

     1. 砫 । J400 -  樨 㦥
.    ⥫ ,  ᥪ㭤-
  ६ t 40 - 50 .  室 ਮ -
   T  㫥:

                               t
                          T = 
                               N

:  N - ᫮ .

                           - 6 -
            1堭./ No8.䨫 .

      㬥襭 砩 訡  室      5
ࠧ     40.
     ⥬  㫥 (15)  :  J.    
m = 22 .
     稭 L, r  R  .
     2. ।   樨  㦥  ᪠.  
 ਡ     ⥫,   樨 ண
㦭 ।, ᯮ  業 殮   ਡ-
.  ᮮ ଥ , ⥬  ᯮᮡ -
  ਮ.  㫥 (15)  祭 
樨 㦥 ,   ⮬    㦥
 ࠢ 㬬  ᪠  㧠.
      ७       㣨  ⥫,  
樨  室 ।.
     3.  樨 ᥩ ⥬ J 㤥 ࠢ 㬬  -
⮢ 樨 ᠬ ਡ J400  饣  ଥ -
 - J4x0.  ⮡ ।  樨 ᫥㥬 ⥫,
㦭  祭 祭 J  祭 J400:

                          J4x0 = J - J40

      4.  ஢ન ⥮६  ७ ᥩ ⮢ -
樨 室   ᮢ襭  ⥫.
     砫  1,  2,  3,  ।  樨 
⥫, ⥬  ⥫ ᯮ ᨬ筮  ଥ  
।   樨  ⠪ ᯮ. -
 ⮩ 稭  㤥   樨   ⥫,
室饣   䨪஢ ﭨ    饭.
  ﭨ,   ⥫   樨 , 
 ᯮ   業 ,   ஢ 㪠-
 ⥮६, , 

                     J4a0 = J400 + ma52

: J4a0 -  樨 ⥫,   饭 ⥫ ᮢ-
               ;
     J400 -  樨 ⥫,    室  -
           ஬ ﭨ   .
     ࠢ ᯥਬ⠫ 祭 J4a0,  J400,4 0 J4x0  ⥮-
᪨ 祭  ⥫ ࠢ쭮 ᪮ -
.

                    _஫ .

     1.  뢠 ⮬ ᨫ  ⮬ 樨 ⥫?
     2.  ⥮᪨  ᫨  樨 ⥫
  ⭮⥫쭮  饭?  뢮 -
 樨  ਬ ⥫ ࠢ쭮  ᪮  
(, , থ).
     3.  ⠥ ⥮६  ७ ᥩ ⮢  -
樨?   ࠪ᪮ 祭?
     4.       ᮡ  ᮡ⢥  
⥬?  ।  ᮡ⢥ ?
     5.     ⮤ । ⮢ -
樨 ⥫   ⨫ ?   ᢮⢮ -
.
                           - 7 -
            1堭./ No8.䨫 .

 樨  ⮬ ᯮ?
     6.    । 뢥 㫠
(15)?
     7. 믮     ᫮ (16)? 
ᮮ⢥騥 .


                        _.

     1. 쥢 ..   饩 䨧,.1. 堭,"-
",1973.
     2. 娭 ..  騩  䨧. .1. 堭.- .,
㪠 , 1979.










