{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 2" 3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 8 2 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 } 3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE " " -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 4 "" 0 "" {TEXT -1 10 "P\370\355klad 4." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 86 "Vypo\350\355tejte t\354\236i\232t\354 a momenty setrva \350nosti homogenn\355ho obrazce omezen\351ho k\370ivkami " } {XPPEDIT 18 0 "y = cos(x),y = x^2-Pi^2/4;" "6$/%\"yG-%$cosG6#%\"xG/F$, &*$F(\"\"#\"\"\"*&%#PiGF,\"\"%!\"\"F1" }{TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 44 "Nejd\370\355ve obrazec omezen\375 k\370ivkami nakresl \355me" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "plot(\{cos(x),x^2 -Pi^2/4\},x=-2..2);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6&-%'CURVESG6$7S7$$!\"#\"\"!$\"3]gws**))fK:!#<7$$!3MLLL$Q 6G\">F-$\"3sSs$zGY9>\"F-7$$!3bmm;M!\\p$=F-$\"3c%4N&Ql!)p!*!#=7$$!3MLLL ))Qj^7$$!3OLL$3yO5]\"F-$!36J%y&Go*G9#F87$$!3&*****\\ nU)*=9F-$!3!)y#)f)[Z)QXF87$$!3SLL$3WDTL\"F-$!3AKg$R3/^(oF87$$!35++]d(Q &\\7F-$!3mapxP*R01*F87$$!3gmmmc4`i6F-$!3VCS1vG#f6\"F-7$$!3KLLLQW*e3\"F -$!33u!p!pVB)G\"F-7$$!3w++++()>'***F8$!3WANx:7;o9F-7$$!3E++++0\"*H\"*F 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1 0 44 "fsolve(\{y=cos(x),y=x^2-Pi^2 /4\},\{x,y\},-2..2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/%\"yG$!+%yd pv\"!#>/%\"xG$!+Fjzq:!\"*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 69 "Jak \+ je vid\354t Maple nen\355 v\232emocn\375 a nejlep\232\355 \370e\232en \355 je vid\354t z obr\341zku" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 34 "Nyn\355 spo\350\355t\341me statick \351 momenty " }{XPPEDIT 18 0 "S[x],S[y];" "6$&%\"SG6#%\"xG&F$6#%\"y G" }{TEXT -1 17 " a hmotnost " }{XPPEDIT 18 0 "m;" "6#%\"mG" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "vyr:=cos(x)^2-(x^2-Pi^2/4)^2 ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$vyrG,&*$)-%$cosG6#%\"xG\"\"#\" \"\"F-*$),&*$)F+F,F-F-*&#F-\"\"%F-*$)%#PiGF,F-F-!\"\"F,F-F9" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 66 "Sx:=1/2*rho*Int(vyr,x=-Pi/2. .Pi/2)=1/2*rho*int(vyr,x=-Pi/2..Pi/2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#SxG/,$*&%$rhoG\"\"\"-%$IntG6$,&*$)-%$cosG6#%\"xG\"\"#F)F)*$), &*$)F3F4F)F)*&#F)\"\"%F)*$)%#PiGF4F)F)!\"\"F4F)F@/F3;,$F?#F@F4,$F?#F)F 4F)FF,$*&F(F),&*$)F?\"\"&F)#F@\"#I*&FFF)F?F)F)F)FF" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "SX:=rhs(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#SXG,$*&%$rhoG\"\"\",&*$)%#PiG\"\"&F(#!\"\"\"#I*&#F(\"\"#F(F,F (F(F(F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "vyr1:=x*(cos(x)- (x^2-Pi^2/4));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%vyr1G*&%\"xG\"\" \",(-%$cosG6#F&F'*$)F&\"\"#F'!\"\"*&#F'\"\"%F')%#PiGF.F'F'F'" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "vyr1 := x*(cos(x)-x^2+1/4*Pi ^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%vyr1G*&%\"xG\"\"\",(-%$cosG 6#F&F'*$)F&\"\"#F'!\"\"*&#F'\"\"%F')%#PiGF.F'F'F'" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 60 "Sy:=rho*Int(vyr1,x=-Pi/2..Pi/2)=rho*int(vyr1 ,x=-Pi/2..Pi/2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#SyG/*&%$rhoG\" \"\"-%$IntG6$*&%\"xGF(,(-%$cosG6#F-F(*$)F-\"\"#F(!\"\"*&#F(\"\"%F()%#P iGF4F(F(F(/F-;,$F:#F5F4,$F:#F(F4F(\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "SY:=rhs(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#SYG \"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "vyr2:=cos(x)-(x^2- Pi^2/4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%vyr2G,(-%$cosG6#%\"xG\" \"\"*$)F)\"\"#F*!\"\"*&#F*\"\"%F*)%#PiGF-F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "m:=rho*Int(vyr2,x=-Pi/2..Pi/2)=rho*int(vyr2,x=-P i/2..Pi/2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"mG/*&%$rhoG\"\"\"-% $IntG6$,(-%$cosG6#%\"xGF(*$)F0\"\"#F(!\"\"*&#F(\"\"%F()%#PiGF3F(F(/F0; ,$F9#F4F3,$F9#F(F3F(*&F'F(,&F3F(*&#F(\"\"'F()F9\"\"$F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "mm:=rhs(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#mmG*&%$rhoG\"\"\",&\"\"#F'*&#F'\"\"'F')%#PiG\"\"$F'F 'F'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 47 "x - ov\341 a y - ov\341 sou\370adnice t\354\236i\232t\354 jsou" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "xt:=S Y/mm;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#xtG\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "yt:=SX/mm;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#ytG,$*&,&*$)%#PiG\"\"&\"\"\"#!\"\"\"#I*&#F,\"\"#F,F*F,F,F,,&F 2F,*&#F,\"\"'F,)F*\"\"$F,F,F.F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "yt:=evala(yt);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#ytG,$*(%# PiG\"\"\",&*$)F'\"\"%F(F(\"#:!\"\"F(,&\"#7F(*$)F'\"\"$F(F(F.#F.\"#5" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "26 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }