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Guidance for modular tests in the subject "Scientific research in the measurement of mechanical quantities" for graduate specialty 6.051003 "Instrument" specialty 8.051003 "Devices and Precision Mechanics" / / Compiled by E.N. 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" #, " , " "5<0: @04CN20==O >?B8G=>3> 0:A5;5@><5B@0. 5B0 @>1>B8: 7=09><8B8AL 7 ?@8=F8?>< 4VW ?@8;04C B0 70 @57C;LB0B>< ?@>2545==O 5:A?5@8<5=B0;L=>3> 4>A;V465==O ?>1C4C20B8 3@04CN20;L=C E0@0:B5@8AB8:C. @8 A0<>ABV9=V9 ?V43>B>2FV ABC45=BV2 4> 28:>=0==O <>4C;L=>W :>=B@>;L=>W @>1>B8 A;V4 :>@8ABC20B8AL [8] AB>@. 779  795.  &   # @8=F8? 4VW >?B8G=>3> 0:A5;5@><5B@0 () @C=BCTBLAO =0 DV78G=><C O28IV 2V418BBO A2VB;>2>3> ?@><5=O 2V4 ?>25@E=V. ">1B> =0 >A=>2V B>3>, I> :CB 2V41820==O ?@><5=O 4>@V2=NT :CBC ?04V==O. =5@FV9=>N <0A>N 40=>3> 0:A5;5@><5B@0 T AB0;L=89 ?0@0;5;5?V?54 V7 475@:0;L=>N ?>25@E=5N, 70:@V?;5=89 =0 42>E ?0@0;5;L=8E F8;V=4@8G=8E :20@F>28E 10;:0E. 0 287=0G5=V9 2V4AB0=V 2V4 F5=B@0 V=5@FV9=>W <0A8 @>7B0H>20=0 >?B>?0@0. >=0 ?@54AB02;OT A>1>N A2VB;> 4V>4 B0 D>B>?@89<0G, @>7B0H>20=V =0 >4=V9 ?V4;>6FV. # AB0=V A?>:>N A2VB;>289 ?@><V=L 7 A2VB;>4V>40, 2V4182H8AL 2V4 475@:0;L=>W ?>25@E=V V=5@FV9=>W <0A8, ?>?040T @V2=> 2 F5=B@ D>B>?@89<0G0. ">1B> 2 FL><C 28?04:C =0 D>B>?@89<0G ?>?040T <0:A8<C< A2VB;>2>W 5=5@3VW. V4 4VTN ?@8A:>@5==O V=5@FV9=0 <0A0 1C45 2V4E8;OB8AO 2V4 ?>;>65==O @V2=>2038 =0 45O:89 :CB . @8 FL><C :CB ?04V==O A2VB;>2>3> ?@><5=O, 0 O: =0A;V4>:, V :CB 2V41820==O 1C4CBL 7<V=N20B8AL. @8 FL><C =0 D>B>?@89<0G 1C45 ?040B8 <5=H89 A2VB;>289 ?>BV: V =0 28E>4V 0:A5;5@><5B@0 1C45 A?>AB5@V30B8AL V=H0 =0?@C30.  %# #" %/  & ! "' ! "  'CB;8289 5;5<5=B ?@8;04C <0T 284 :>=A>;L=> 70:@V?;5=8E 2>;>:>==>->?B8G=8E 10;>:, =0 O:8E @>7B0H>20=0 V=5@FV9=0 <0A0 (@8A.1).  SHAPE \* MERGEFORMAT  8A. 1. 'CB;8289 5;5<5=B 0:A5;5@><5B@0 5@5<VI5==O V=5@FV9=>W <0A8 1C45 >?8AC20B8AL >A=>2=8< 48D5@5=FV9=8< @V2=O==O< ?@C6=>W AB@C=8 [1]:  EMBED Equation.3 , (1) 38=0NG89 <><5=B (E) 2 ?5@5B8=V E 1C45<> @>7@0E>2C20B8 O: @57C;LB0B 4VW 7>2=VH=VE A8;:  EMBED Equation.3 , (2) 45  EMBED Equation.3 . 5@H89 V=B53@0; 2V4 d2w 1C45 O2;OB8 A>1>N 70;56=VABL :CB0 2V4E8;5==O 10;:8 2V4 ?>;>65==O @V2=>2038 2V4 ?@8A:>@5==O (3). @C389 V=B53@0;  70;56=VABL 25;8G8=8 ;V=V9=>3> 2V4E8;5==O V=5@FV9=>W <0A8 2V4 ?@8A:>@5==O [4]:  EMBED Equation.3 , (3)  EMBED Equation.3 . (4) # D>@<C;0E: =7.75.1010 /<2  >4C;L .=30 4;O :20@FC, =.d4/64  <><5=B V=5@FVW F8;V=4@8G=>W 10;:8 (d=200.10-6 <) =7.85.10-17 <4, L=12.10-3 <  4>268=0 @>1>G>W G0AB8=8 10;:8, l=6.10-3 <  28A>B0 V=5@FV9=>W <0A8, m=272.10-6 :3  V=5@FV9=0 <0A0. 5.  %# $#&  " / !"  / V4><V 45:V;L:0 <5B>4V2 @>7@0EC=:C DC=:FVW ?5@5B2>@5==O A2VB;>2>3> ?@><5=O, 0;5 2>=8 4C65 3@><V74:V V =5 ?V4E>4OBL 4;O ?@0:B8G=>3> 28:>@8AB0==O. "><C @>73;O=5<> A?@>I5=89 @>7@0EC=>:. 0:A8<C< A2VB;>2>3> ?@><5=O, ?5@5<VICNG8AL 2V4 F5=B@0;L=>W G0AB8=8 D>B>?@89<0G0 4> 9>3> ?5@8D5@VW, 1C45 7<V=N20B8AO 70 70:>=>< 0CA>2>3> @>7?>4V;C A2VB;>2>3> ?CG:0, 0 A0<5:  EMBED Equation.3 , (5) 45  EMBED Equation.3   =><V=0;L=89 A2VB;>289 ?>BV: A2VB;> 4V>40;  EMBED Equation.3  -2V4AB0=L 2V4 A2VB;> 4V>40 4> F5=B@C D>B>?@89<0;L=>W ?;>I04:8;  EMBED Equation.3   2V4AB0=L 2V4 A2VB;> 4V>40 4> B>G:8 =0 D>B>?@89<0GV, 2 O:V9 2 40=89 <><5=B G0AC 7=0E>48BLAO <0:A8<C< A2VB;>2>W 5=5@3VW (?V4 4VTN ?@8A:>@5==O);  EMBED Equation.3   @>74V;L=0 740B=VABL. 0 ?0A?>@B>< >?B>?0@8 111:  EMBED Equation.3  <,  EMBED Equation.3  <. 52V4><>N 25;8G8=>N 2 D>@<C;V T  EMBED Equation.3 . ;O @>7@0EC=:C FVTW 25;8G8=8 28:>@8AB0T<> 35><5B@8G=V 2V4=>H5==O (482. @8A 2): >;>65==O 1 V=5@FV9=>W <0A8 2V4?>2V40T <><5=BC G0AC, :>;8 =0 0:A5;5@><5B@ =5 4VT ?@8A:>@5==O. >;>65==O 2  F5 <><5=B 2V4E8;5==O V=5@FV9=>W <0A8 ?V4 4VTN ?@8A:>@5==O  EMBED Equation.3 .  @8A. 2 284=>, I>  EMBED Equation.3 , (6)  EMBED Equation.3 , (7)  EMBED Equation.3 , (8) 45 EMBED Equation.3  <- 4>268=0 >?B8G=>3> 2>;>:=0.  8A. 2. >73;O=5<> B@8:CB=8: '! 0 D>@<C;>N A8=CAV2 <>6=0 70?8A0B8:  EMBED Equation.3 . (9) 2V4:8:  EMBED Equation.3 , (10)  EMBED Equation.3 . (11) B65, ?V4AB02;ONG8 >B@8<0=V 7=0G5==O C D>@<C;C (9), >B@8<CT<>:  EMBED Equation.3 , (12)  EMBED Equation.3 , (13)  EMBED Equation.3 . (14) 2060NG8 =0 B5, I>  EMBED Equation.3 , >B@8<CT<>:  EMBED Equation.3 . (15) @8 2V4E8;5==V V=5@FV9=>W <0A8 2 V=HC AB>@>=C (O:I> 25:B>@ ?@8A:>@5==O =0?@02;5=89 2 AB>@>=C, ?@>B8;56=C @>7B0HC20==N 2 0:A5;5@><5B@V >?B>?0@8):  EMBED Equation.3 . (16) V4AB02;ONG8 7=0G5==O  EMBED Equation.3  7 D>@<C;8 (16) C D>@<C;C (5) @>7@0EC=:C DC=:FVW ?5@5B2>@5==O A2VB;>2>3> ?@><5=O, >B@8<CT<>:  EMBED Equation.3 , (17) 45  EMBED Equation.3  B0  EMBED Equation.3  @>7@0E>2CNBLAO 70 D>@<C;0<8 (3), (4) 2V4?>2V4=>;  EMBED Equation.3  <,  EMBED Equation.3  <, =1,1. 8EV4=0 =0?@C30 ?@8 FL><C 1C45 <0B8 7=0G5==O: UB(0)=k.$(0), (18) 45 k  :>5DVFVT=B, I> 2@0E>2CT DC=:FVN ?5@5B2>@5==O A8;8 A2VB;>2>3> ?@><5=O =0 AB@C<, 0 B0:>6 :>5DVFVT=B ?5@5B2>@5==O 5;5:B@8G=>W AE5<8 7 >?5@0FV9=8< ?5@5B2>@N20G5< k=3200 /<. 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" , "/ 1. >OA=8B8 ?@8=F8? 4VW >?B8G=>3> 0:A5;5@><5B@0. 2. /:C DC=:FVN 28:>=CT >?B8G=0 ?0@0 C 40=><C ?@8;04V. 3.0 >A=>2V G>3> @>7@0E>2CNBLAO :>=A>;L=V 10;:8 GCB;82>3> 5;5<5=BC. 4. >OA=8B8 :>=AB@C:B82=V >A>1;82>ABV 40=>3> ?@8;04C. 10. " "#  1.$5A8: !.. !?@02>G=8: ?> A>?@>B82;5=8N <0B5@80;>2.  852: C4825;L=8:. 1970.  548 A. 2. 052A:89 .. 7<5@5=85 ;8=59=KE CA:>@5=89.   .: 0C:0, 1973.  350 A. 3. C45=:> .!., !5=L:> .., "@8D>=N: .., .48= .. @><KH;5==0O M;5:B@>=8:0.-.:"5E=V:0, 1979.-503 A. 4.5725AV;L=0 .., "0;0=GC: .. 5@5B2>@NNGV ?@8AB@>W ?@8;04V2: V4@CG=8:.  .:  , 1994.  552 A. 5.5725AV;L=0 .. ;5<5=B8 V ?@8AB@>W 02B><0B8:8 B0 A8AB5< C?@02;V==O. 5@5B2>@NNGV ?@8AB@>W ?@8;04V2 B0 :><? NB5@87>20=8E A8AB5<: V4@CG=8:.  8B><8@: "#, 2008.  704 A. 6.5725AV;L=0 .., >4G0H8=AL:89 ... "5E=>;>3VG=V 28<V@N20==O B0 ?@8;048. 5@5B2>@NNGV ?@8AB@>W ?@8;04V2 B0 :><? NB5@87>20=8E A8AB5<: V4@CG=8:.  8B><8@: "#, 2006.  560 A. 7.5725AV;L=0 .., 8@8GC: ... 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"  7=09><8;8AL 7 ?@8=F8?>< 4VW ?@8;04C B0 5:A?5@8<5=B0;L=>N CAB0=>2:>N. >@8ABCNG8AL @8A. 4, ?V4:;NG0T<> 0:A5;5@><5B@ 4> 465@5;0 682;5==O B0 2<8:0T<> 2>;LB<5B@. 0 4>?><>3>N @CG:8 ?>2>@>B=>W ?;0BD>@<8 ?>25@B0T<> ?@8;04 70 3>48==8:>2>N AB@V;:>N 2V4=>A=> =59B@0;L=>W 2VAV V G5@57 :>6=V 10 7=V<0T<> ?>:070==O 2>;LB<5B@0. 8<V@8 ?@>248<> 4> 90. 8:>=CT<> 28<V@8 ?@8 72>@>B=><C E>4V (B>1B> ?@8 7<V=V :CB0 7 90 4> 0). @>2>48<> 0=0;>3VG=V 28<V@8 ?@8 =0E8;5==V 0:A5;5@><5B@0 ?@>B8 3>48==8:>2>W AB@V;:8. ;O ?>1C4>28 1V;LH B>G=>W E0@0:B5@8AB8:8 I5 @07 28:>=CT<> 4VW, I> >?8A0=V C ?C=:BV 3 B0 4. 57C;LB0B8 ?@>2545=8E 4>A;V465=L 70?8ACT<> C B01;8FN 2. "01;8FO 2. CB >:070==O 2>;LB<5B@0 U, <B!5@54=T 7=0G5==O =0?@C38 , <@8A:>@5==O a=g*sin </A20 3>4. AB@V;:>N@>B8 3>4. AB@V;:80 3>4. AB@V;:>N@>B8 3>4. AB@V;:80 3>4. AB@V;:>N@>B8 3>4. AB@V;:8@. EV42. EV4@. EV42. EV4@. EV42. EV4@. EV42. EV405805555554905785815795005735310104834586406004804806406204706251.7203963787207144004007217143907173.35303323257957903353337967903307934.9402972908758863003008768852978806.3502782729239382752809239402779337.51602662609829902652679839802689848.4970258255101010132552581010101025710119.2180255254103010292532551031103025410309.6590252252104010402502501041104025110409.8 @>2>48<> >1@>1:C @57C;LB0BV2. >7@0E>2CT<> A5@54=V 7=0G5==O 28EV4=8E =0?@C3.  EMBED Equation.3  EMBED Equation.3 , (19) 45 n - :V;L:VABL F8:;V2 28<V@C (2 40=><C 28?04:C n=2). 0?8ACT<> A5@54=V 7=0G5==O C B01;8FN 2. V4E8;5==O V=5@FV9=>W <0A8  ?@>B8 3>48==8:>2>W AB@V;:8 2V4=>A=> =59B@0;L=>W 2VAV 2V4?>2V40T 4VW 2V4 T<=>3> ?@8A:>@5==O , 70 3>48==8:>2>N AB@V;:>N  4>40B=>3>. C4CT<> 5:A?5@8<5=B0;L=C 70;56=VABL 28EV4=>W =0?@C38 5 2V4 ?@8A:>@5==O 0 (Ue(a)), O:5 @>7@0E>2CTBLAO 70 D>@<C;>N (20).  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