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– 6(-/9) '&.&6&+(; A – B/6/*( 8&2$/ +6(*)'&6+*&5& )6$-)+.(; B – .;)&+( 6()'&2&0$*/1 A$*+6( +10$)+/. J A$2,3 '6$-&+.6(F$*/1 %(*&)( +6(*)'&6+*&5& )6$-)+.( . 83.$+ '& ?:'/6/=$)8&< @&6:92$ &'6$-$213+ '6$-$2,*93 )8&6&)+, -./0$*/1 *( '&.&6&+$: V 11,3 !R , 5-$ ! – 8&?@@/A/$*+ )A$'2$*/1 B/* ) -&6&5&<; R – 6(-/9) '&.&6&+(. K(./)/:&)+, )8&6&)+/ -./0$*/1 &+ 8&?@@/A/$*+( )A$'2$*/1 / 6(-/9)( %(86952$*/1 -&6&5/ '6$-)+(.2$*( *( 6/).1. H/). 1. K(./)/:&)+, '6$-$2,*&< )8&6&)+/ -./0$*/1 *( '&.&6&+$ '& %(*&)9 &+ 8&?@@/A/$*+( )A$'2$*/1 B/* ) -&6&5&< / 6(-/9)( %(86952$*/1 -&6&5/ C&:/:& %(*&)(, &'()*&)+, '6$-)+(.21$+ .&%:&0*&)+, &'6&8/-;.(*/1 86(*( *( '&.&6&+$, 8&5-( A$*+6&4$0*(1 )/2(, '(6(22$2,*(1 '2&)8&)+/ -&6&5/, -$<)+.9$+ . +9 0$ )+&6&*9, =+& / )&)+(.213F(1 )/2; +10$)+/ G " sin # (6/). 2). 124 H/). 2. H()=$+*(1 )7$:( -21 &'6$-$2$*/1 '&'$6$=*&< 9)+&<=/.&)+/ )(:&7&-*&5& 86(*( '6/ -./0$*// ) '&.&6&+&: *( )82&*$ "(8 ./-*& /% 6()=$+*&< )7$:;, '6/ -./0$*// )(:&7&-*&5& )+6$2&.&5& 86(*( *( *$5& 86&:$ )/2; +10$)+/ -$<)+.9$+ A$*+6&4$0*(1 )/2(: PA G 2 $R g GV 2 , gR 5-$ G – )/2( +10$)+/; g – 9)8&6$*/$ ).&4&-*&5& '(-$*/1; $ – 952&.(1 )8&6&)+, -./0$*/1 *( '&.&6&+$; V – )8&6&)+, -./0$*/1 )+6$2&.&5& )(:&7&-*&5& 86(*( *( '&.&6&+$. D$*+6&4$0*(1 )/2(, )+6$:1F(1)1 &'6&8/*9+, )+6$2&.&< )(:&7&-*;< 86(* *( '&.&6&+$ %(./)/+ &+ :()); 86(*(, 8.(-6(+( )8&6&)+/ -./0$*/1 / 6(-/9)( '&.&6&+( [2]. >'6&8/-;.(3F/< :&:$*+ &+*&)/+$2,*& 6$46( &'6&8/-;.(*/1 (*( 6/). 2 '&8(%(*( '6&$8A/1 . +&=8$ E) &'/);.($+)1 96(.*$*/$: M &'6 G sin #H % GV 2 H, gR 5-$ # – 95&2 )82&*(; B – .;)&+( 6()'&2&0$*/1 &4F$5& A$*+6( :()) )(:&7&-*&5& )+6$2&.&5& 86(*(. 125 L&:$*+ %('()( 9)+&<=/.&)+/ &+*&)/+$2,*& +&=8/ E M %(' B GV 2 G cos # & G sin #H % H, 2 gR 5-$ A – B/6/*( 8&2$/ )(:&7&-*&5& )+6$2&.&5& 86(*(. "6/+/=$)893 )8&6&)+, -./0$*/1, )&&+.$+)+.93F93 9)2&./3 M %(' 0, &'6$-$21$: /% 96(.*$*/1 G cos # B GV 2 & G sin #H % H 2 gR 0, &+89-( &8&*=(+$2,*& '&29=/: B cos # & sin # ) Rg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g ! "(8 ./-*& /% @&6:92;, :())( (.+&:&4/21 *$ .2/1$+ *( -2/*9 +&6:&%*&5& '9+/. P6(@/8 %(./)/:&)+/ :$0-9 -2/*&< '9+/ +&6:&0$*/1, )8&6&)+,3 -./0$*/1 / 8&?@@/A/$*+&: )A$'2$*/1 '&8(%(* *( 6/). 4. V, 8:/= µ=0,6 µ=0,5 µ=0,4 µ=0,3 µ=0,2 µ=0,1 S m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– L., 2010. – 217 ). 2. P&4$6:(* Q.E. >)*&.; +$&6//, 6()=$+( / '6&$8+/6&.(*/1 )+6&/+$2,*;7 / -&6&0*;7 :(B/*. – L.: L(B/*&)+6&$*/$, 1988. – 462 ). C&29=$*& 16.08.2010 128