1.5
		    2   15

	      2  
	       2      

 1 0mex15-1.pcx 60 110
_2ਭ:.1 ᯥਬ⠫쭠 ⠭ 設 㤠,  
		1㧮  ॣ㧪.

     設 㤠 ।祭  ᫥  
⥫    ⥭.  ⢥ ᥣ,  筮, -
  ,  ᫥ ᢮  ⥫.  ⮬  蠥,
,    稭 ᪮७ ᢮ .  ⮬
⠪     祭 让  ਡ (-
 襩 祬  ),    ᯥ樠 -
,  筮  訥 ஬⪨ ६ (-
  ᥪ㭤).  設 㤠    㤭⥩ 
   㤮 ᪮⥩.
      10				     ன⢮ 設 㤠
				     ڨࠦ  .01.  
				          ᢮
				     頥  , ९-
				       孥  ⮩-
				     .  १    ४
				     ⮭ ,   -
				     ன     , -
				     騥 ࠢ  2 0.  
				       	  
				     ᪮쪮	ॣ㧪. -
				     ⥬  㧮    ⮬ 砥
				     室   ࠢ  -
				     稭  ᪮७.
					  砫    ⥬
				     㤥ন  	
				      ஬. -
				     祭 ⮪, ⥪饣 १
	     .1.		     ஬, ਢ 
 㧠   ,	 ⨣ ⨥  <> 
।  ਡ.
          㧠 .    㤥 짮-
  ⥬ न,	業 ன ᮢ饭	

				- 2 -

 .  2 02 0 ࠢ .
       ॣ㧪, 饣  㧥 , ࠢ 2m0 (.2)
       	  ᨫ: ᨫ 殮 2( + m)g0   ᨫ
殮  2T410 .  ஬  ⮭:

		    (M + m)g - T410 = (M + m)a ,		  (1)

 2a0 - ᪮७ 㧠 .
 20 mex15-2.pcx 60 110
					 ਬ ன    
       20                            ⮭   㧠 . 
				    ᨫ  令  -
				    ७ 㧠  ࠢ ᪮-
				     㧠   ᮫⭮ -
				    稭  ࠢ   -
				     ஭.   ࠢ-
				    , ᫥⥫쭮, -2a0.2 0 -
				      稬 2T420. 
1.0

                                      Mg - T420 = - Ma.         (2)
0

				     ᮬ  殮
				    2T410  2T420  ࠢ  :
1.0

					     T410 = T420 .	      (3)
0

				     (1) ࠦ  (2),
				    ⮬ (3) 稬:
1.0

					      m
				       a =  g .	      (4)
	    .2.			   2M + m
0

     㧠  ந室,  ⠪ ࠧ,  ࠢ᪮७ 
稭 ࠢ (4).  ᪮७ 20   ॣ㧪
⢥  2g0, ⮬   .
    㫠 (4)  㦨  । ᪮७ 2g0. ᯥ-
ਬ ᫮,   ⥬,     ᯮ-
 אַ ७ ᪮७  20. ᯮ㥬 ⮬  -
।  20 ࠢ᪮७ ࠪ஬   㤥 
 2S0   ६  2t0.      砫쭮 ᪮

				- 3 -

 易 ᮮ⭮襭:

			 S = at520/2 .			  (5)

     _2 ࠡ.0 1砥, ⠪ ࠧ,  ⮬, ⮡ ⠭-
1    ࠢ᪮७ ࠪ    (ய樮-
1 3S1  3t521),  । 室饥  (5) ᪮७  ᫨ 
1   㫥 (4) ᪮७ ᢮ .

        ᯥਬ 祭 2a0   ,  -
, ।⢥ ᯮ짮  । 2g0, ⠪  -
७   ⮫쪮  2a0,    ७   .
     稭 ᨫ ७  _業.,   -
稭 ॣ㧪 2m0,   뢠饣  ⥬.  ᯮ-
ᮡ  , ,  ਬ   _७.  ᨫ  ७,
᪮ 饥  ७ ᪮즥   ࠢ ७
.
     ᭮,   訥 १   ⮫쪮 
⮬ ᫮,  ᫨  ॣ㧪 (ᨫ,  뢠饩 ) 
 ࠧ  ᨫ ७.  ७ ।  ᭮
ᮬ 㧠 2 M0,   ᮬ ॣ㧪. 稢  ॣ㧪,
 蠥 ⮬ ᫮  ( ᫥ ⠪   
,  ,   訩  ॣ㧪.  
	    ᫮ ࠧ,	⠪     
஭    ६.   ﭨ ⠪    -
 ᨫ ७, 㬥蠥  ⮬ 2m0.).
     稭 ॣ㧪 ᫥ ⮬ ᪨ 㢥稢; 
2m0    ࠭ 祭 訬,  ⠪    ⮬
⠭ ᫨誮 ,  筮 ७ ६ 뢠-
  筮.   ᥣ ⮬ ந ७ 
 祭  ॣ㧪 2m0   ।,   ஬  -
 ᫥ 祭 2 g0  㢥祭2 0 2m0   -
,    ।⢥ ਬ  . 
ᥣ  室  ।  ᪨.   ⮣ ᫥ ந
䨪,  ஬    ⪫뢠 稭 21/m0,  
 न -    2m0 祭2 0 2g0. ஢ -
१ ᯥਬ⠫ 窨 ਢ 㦭  ࠯஢  (-
)  訬 祭 2m0, ..   祭 21/m0, ࠪ-

				- 4 -

᪨  21/m = 00 (⪫뢠      -
 ,  ᠬ  ॣ㧪 2m0 , ⠪   ⮬ 砥
諮  ࠯஢ ਢ  訬 -  ।  ᪮-
筮 訬 祭 2m0, 祣  ᤥ ᪨).
      ࠯஢ 祭 2g0  ᫥ ࠢ
  ⠡.   ⮬ 㤥 । ᠬ 㬠 
⥬,  業 筮 祭 १.

			    _७

	   _I. । ᪮७ ᢮ 

     1.1. ஢ઠ ࠢ᪮७ ࠪ .
     । ᯥਬ⠫쭮 ᨬ  ६ 	2t
㧠   2S0. ७ ஢  ।񭭮 ࠭
祭  ॣ㧪 2m0.  ⮬ 室 ⠪, ⮡ -
﫮 ࠢ⢮
			    m << 2M = 122 .

     ⢥  ஭ 楢 .   ᥪ㭤,
 "" ⠭  ⥫.
     । ६  2t0   ,  -
   祭 2S0  5 ࠧ.    ⠡.1.
_.+
						    1
	Ŀ
          N   S    t410   t420   t430   t440   t450  t40  t4520
	Ĵ
	 1..	   	           	   	           
	Ĵ
	Ĵ
	Ĵ
	  5 	   	           	   	           
	
      2t410,  ...., 2t450 - १ ७ ६ 
 ⠭  2S0.
      १⠬  ७	    न x = S,  y = t52
ன  y = y(S).   אַ । 2a0.

				- 5 -
     1.2. । 2g0 ᪨ ⥬.
     ।   ᨬ ६    2t0  
 2m0 ॣ㧪.  ७ ஢  襩 
  2h0 = 2h4max0   祭   2m0.    
祭  2m0  ७  ࠧ ,  १  
⠡ 2.
     ६   筮 .1.1.
						    2
 Ŀ
 i\  m4i0  M/m   t410   t420   t430   t440   t450   t40   t4520 
 Ĵ
  1	  	          	  	           	     
  2	  	          	  	           	     
  3	  	          	  	           	     
 

      祭  2m0 ॣ㧪     7%
   	      M/m
					 
           m400 << m << 2M = 122 ,        
					 
2m400 -  ࠣ饣 ॣ㧪.     
 ᮮ⭮襭 (4)  (5) 		 
 ᨬ			 
1.0					 
					 
	  M	g	 1		 
          =  t520 -               76
	  m	4S	 2			   .3       t52
0
  ⠭ 㣫  אַ 2M/m0=f(2t520) ᫨ 祭 2g0.
      १⠬ ७   न Y = M/m,  X = t52
ன 䨪 y = y(x) (.3.)   2g0  7D2g0.

     1.3. । 2g0 ᪨.
     楢  ⠢  .    ᥪ㭤
⦠.        ࠭ ॣ㧪  ᨬ
.    <>.	  室 १ ,
ॣ㧮 ᭨  ६ 砥 ᥪ㭤.  
ࠧ,  ⠡ - ६ 宦 㧠  稪.

				- 6 -

      2S410- , ன 㧮   ॣ㧪  孥-
 ஬  楢   ६ 2t410.  ⮬ -
   ࠢ᪮७  ᪮७ 2a0.  2a0,  -
⠢  祭  (4)  । 2g0.
     , ன  ⥫    ࠢ᪮७  (᫨
砫쭠 ᪮ 2V4o2=00  ६ 2t410, ।  㫥
401.0
		     42 0	   7 0  4		 2
             S410 = a770t410/2,  4 0   a = 2770S410/t410 ,            (6)
0

 2t410   ⭮. ⭮,  ᫥  ॣ㧪 -
⥬  	ࠢ୮  	᪮ 2V0  室  2S420 
楢   ᯫ譮   ६ 2t420 :

                          S420 = V770t420 .                         (7)

      㣮  ஭,    室   楢 ଥ 
᪮, ।塞 ࠦ
1.0
				7|\\\\\
			   V = 7?0 2770a770S410 .		      (8)
⠢ (8)  (7) 室
				42
			       S42
                          a = 420  .                        (9)
			      2S410t42
0

 ⠢ (9)  (4)  ⥫쭮  । 2g0 -
稬 ࠦ
1.0
				   42
			 2M + m   S42
		     g = 770420 .		     (10)
			    m	 2S410t42
0

      ࠭ 2S410  2S420 ஢ 5 ७   ࠧ-
  ॣ㧮 2m0, 祭     
m407 < 0m7 < 02.
        ⠡.	 㫥 (10)  2g0  ।-
 2g4 07 D2g0.
     ࠢ 2g0 祭  .1.2.  .1.3.

	       _II. ஢ઠ   S = a770t.52_0/2

     楢  ⢮  ஭.      -
 ॣ㧮. 몠 ⮪  楯 ஬, ⠭-

				- 7 -

   砫쭮 ,   ஬   室
. 뢠  誠   ᭮ 㧠  
 ᯫ譮 .        2S410,
ன ⥬.
     । ६  㧠 2t410 ᯮᮡ,  । 
.1.1. ७ ஢ 5 ࠧ   । 祭.
      砫쭮  㧠   20-30    ।
 2S420, 室 ⥬  ६  2t420.
     _஢ઠ  ..    ﭭ ᪮७ 2a0,  .. 
  ⮩   ॣ㧪 2m0 , ன ⥫, ய-
樮  ६, ..:
1.0
	     S410   t41520        S410 5  0 S42
	     5 0=5  0 5 05   0=5 0 = Const.
	     S420   t42520        t41520   t4252
0

      ७   ࠧ   ॣ㧪   
 ஢  .     ⠡.

		 _III. ஢ઠ  ᪮⥩.

         ॣ㧮 2m0   ஬,  -
⠭      砫쭮 .  ⠢   㧠
楢  ⠪,  ⮡      ᢮
 室 ᪢ ,  ॣ㧮 ᭨  ମ.
     ।  誠   㧠        
.  뢠  2S410,4  0ன 㧮  ࠢ᪮-
७  (..  孥   楢 -
)  	  2S412'0,  ன  ࠢ୮  (..  
楢  ᯫ譮 ).   ⮬ 뢠,  ॣ-
㧮 ᭨  孥  㧠 ,   㤠   ᯫ-
  ᢮  .
       ᥪ㭤 ।:
     1) ६ ࠢ᪮७  㧠  楢  -
 - 2t410;
     2) ६ ࠢ୮  㧠  ଠ 2t412'0.
     孨 ७ ᫥:
     )  ᥪ㭤;
     ) ⠭  ⥫;
     )     㦭  ( <> ⦠);

				- 8 -

     )  <>.
     ६  ⠡ - 2t410.  ⦠   ᥪ㭤,  ⮣  
⠡ - ६ 宦 㧮 ᥣ  2t0.

			  t412'0 = t - t410.

      ⥬    ࠢ୮    ࠢ ᪮
ࠢ᪮७     ॣ㧪:

			    V410 = at410.

       楢   । 筮
 2S420  2S422'0 , ६ 2t420  2t422'0  ᪮:

			    V42 0= at420 .

     ஢  ᪮⥩: _ ࠢ᪮७  ᪮-
_ ⥫ אַ ய樮쭮 ६., ..

	    V410/V420 = t410/t420   V410/t410 = V420/t420 = onst.

      ७ ந  ࠧ     ६  ॣ㧪.
஢    । 祭 2v0  2t0.
      १   ⠡.

	       _IV. ஢ઠ ண  ⮭
1.0
			     76     6
			     F = M770a.
0

     ᫨ ४뢠     ஭   -
,    ᥩ ⥬  ,  १ -
 ᨫ,  ਫ  ⥬, 㤥 ,     ᪮-
७  ⥬.   ࠧ 砥 㤥 :

		F410 = M770a410 , 	  F420 = M770a420 ,

	      S410 = a410t41520/2 ,	  S420 = a420t42520/2.

				- 9 -

       ࠦ ᮮ⢥⢥ 稬:
1.0

	    F410   a410		    S410    a41770t4152
	     = 	   	     =   ,
	    F420   a420		    S420    a42770t4252

 :
			 F410   S41770t4252
			  =   .
			 F420   S42770t4152
0

      ࠦ   ஢થ,  ஢ ⠪,   
ࠦ III.
     砫       ,  ਬ,  8,5.,     
6,5.,   2F410/2g0 = 2.  ⠪ ᯮ ॣ㧪 
࠭ 2S410 ।  祭 2t410   2t410. ᫥ -
  ॣ㧪 뢠   ,     2F420/2g0  =  15.
(	ᥩ  ⥬   ⮬  )  ।
 ࠭ 2S420  祭 2t420  2t420.
      ࠦ, ⨯
401.0
			   S41770t4252
			     ,
			   S42770t4152
0

  ਬ୮ ࠢ  ᮡ4,0     ஢મ
ண  ⮭.     㣮  ॣ-
.

		       _஫ 

     1.   堭 ஢  設 㤠?
     2.  祬 ⫨稥    ⥫?
     3. 㫨   ன  ⮭.
     4.   殮  (   㧮)  ᫨
	 ॣ㧮  㣨?
     5.  ᨬ M/m=f(t520).
     6. 㫨  .
     7. 㫨  ᪮⥩.
     8.   祬	⮨   ⮤ ७ 2g0   設
	㤠?

   
				- 10 -


			   _

     1.  ..,  .. 堭. .: 㪠, 1965.
     2.   ࠪ⨪   䨧:  堭 /.
., 1980.








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