{VERSION 6 0 "IBM INTEL NT" "6.0" } {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 "Hyperlink" -1 17 "" 0 1 0 128 128 1 2 0 1 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 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Tim es" 1 12 0 0 0 1 2 2 2 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 0 1 }1 0 0 -1 -1 -1 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 1 } 3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 " " 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }1 0 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 1 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "R3 Font 0" -1 256 1 {CSTYLE "" -1 -1 "Helvetica" 1 10 0 0 255 1 2 1 2 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "R3 Font 2" -1 257 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 0 1 2 1 2 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Normal" -1 258 1 {CSTYLE "" -1 -1 "He lvetica" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "" 0 259 1 {CSTYLE "" -1 -1 "Helvetica" 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 "" 0 260 1 {CSTYLE "" -1 -1 "Helvetica" 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 "" 0 261 1 {CSTYLE "" -1 -1 "Helvet ica" 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 }} {SECT 0 {EXCHG {PARA 259 "" 0 "" {TEXT 257 25 "Moderne Physik mit Mapl e " }}{PARA 261 "" 0 "" {TEXT 258 9 "PDF-Buch " }{URLLINK 17 "Moderne \+ Physik mit Maple" 4 "http://mikomma.de/fh/modphys.pdf" "" }}{PARA 258 "" 0 "" {TEXT -1 19 "Update auf Maple 10" }}{PARA 260 "" 0 "" {TEXT -1 0 "" }}{PARA 258 "" 0 "" {TEXT -1 27 "Kapitel 2.2 Seite 72 bis 75" }}{PARA 258 "" 0 "" {TEXT -1 24 "Worksheet newton2_10.mws" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 91 "c International Thomson Publishing Bonn \+ 1995 filename: newton2.ms" }}{PARA 0 "" 0 "" {TEXT -1 102 "Autor: Komma \+ Datum: 1.5.94" }}{PARA 0 "" 0 "" {TEXT -1 42 "Thema: Newtons Physik, Teilchen in Feldern" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 39 "Newtons Maschine ist nicht zu stoppen! " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "restart;wit h(linalg):with(student):with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "r:=vector([x(t),y(t),z(t)]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rGK%'vectorG6#7%-%\"xG6#%\"tG-%\"yGF+-%\"zGF+Q)ppri nt216\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "v:=map(diff,r,t) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"vGK%'vectorG6#7%-%%diffG6$-% \"xG6#%\"tGF/-F*6$-%\"yGF.F/-F*6$-%\"zGF.F/Q)pprint226\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "a:=map(diff,v,t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aGK%'vectorG6#7%-%%diffG6$-%\"xG6#%\"tG-%\"$G6$F /\"\"#-F*6$-%\"yGF.F0-F*6$-%\"zGF.F0Q)pprint236\"" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 22 "Definition der Felder:" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 23 "El:=vector([Ex,Ey,Ez]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#ElGK%'vectorG6#7%%#ExG%#EyG%#EzGQ)pprint246\"" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "B:=vector([Bx,By,Bz]);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"BGK%'vectorG6#7%%#BxG%#ByG%#BzGQ)p print256\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 13 "Lorentzkraft:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "F:=q*(El+crossprod(v,B));" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"FG*&%\"qG\"\"\",&%#ElGF'K%'vector G6#7%,&*&-%%diffG6$-%\"yG6#%\"tGF6F'%#BzGF'F'*&-F16$-%\"zGF5F6F'%#ByGF '!\"\",&*&F9F'%#BxGF'F'*&-F16$-%\"xGF5F6F'F7F'F>,&*&FCF'F=F'F'*&F0F'FA F'F>Q)pprint266\"F'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "eva lm(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#K%'vectorG6#7%*&%\"qG\"\"\", (%#ExGF)*&-%%diffG6$-%\"yG6#%\"tGF3F)%#BzGF)F)*&-F.6$-%\"zGF2F3F)%#ByG F)!\"\"F)*&F(F),(%#EyGF)*&F6F)%#BxGF)F)*&-F.6$-%\"xGF2F3F)F4F)F;F)*&F( F),(%#EzGF)*&FBF)F:F)F)*&F-F)F@F)F;F)Q)pprint276\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "Bewegungsgleichung:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "sys:=equate(m*a,F);" }}{PARA 12 "" 1 "" {XPPMATH 20 " 6#>%$sysG<%/*&%\"mG\"\"\"-%%diffG6$-%\"xG6#%\"tG-%\"$G6$F0\"\"#F)*&%\" qGF),(%#ExGF)*&-F+6$-%\"yGF/F0F)%#BzGF)F)*&-F+6$-%\"zGF/F0F)%#ByGF)!\" \"F)/*&F(F)-F+6$FF)F EF)/*&F(F)-F+6$FBF1F)*&F6F),(%#EzGF)*&FPF)FDF)F)*&F:F)FNF)FEF)" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 26 "L\366sung: (Bitte warten ...)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "sol:=dsolve(sys,\{x(t),y(t), z(t)\},method=laplace): ## mit sinh" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "#convert(sol,exp);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "assign(sol);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "xx:=makeproc(x(t),t): yy:=makeproc(y(t),t): zz:=makeproc(z(t), t):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "#xx(t);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 189 "L\366sungsfunktion (da lacht das Herz de s theoretischen Physikers, aber es w\344re eine Aufgabe f\374r sich, m it einem CAS und Termmanipulation die relevanten Terme herauszusch\344 len - siehe Jackson)." }}}{EXCHG {PARA 0 "" 0 "" {TEXT 256 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 86 "rf:=makeproc(map(eval,r),t): vf:=makeproc(map(eval,v),t): af:=makeproc(map(eval,a),t):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 46 "B-Feld in z-Richtung (zur besseren \334be rsicht):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "Bx:=0:By:=0:" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "rf(ZEIT);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7%,&*(,(*(-%\"xG6#\"\"!\"\"\")%\"qG\"\"#F,)%#BzG\"\" %F,F,*(,&*&--%\"DG6#F)F*F,)F1F/F,!\"\"*&F1F,%#EyGF,F,F,-%%sinhG6#*(,$* ()%\"mGF/F,F-F,F:F,F;#F,F/FE!\"#%%ZEITGF,F,FBFFF,*(,&*(-%%coshGF@F,%#E xGF,F:F,F;*&FNF,F:F,F,F,FEF,F.F,F,F,F1!\"%F.FGF,*&FFF,**F1FG,&*.F/F,FH F,FEF,F.F,F1F,F=F,F,*(F/F,,&*(F1F,--F86#%\"yGF*F,FLF,F;*&F1F,FXF,F,F,F DF,F,F,F.F;FEF;F,F,,&*(F1FPF.FG,(*(F>F,FBFF,&*&FXF,F:F,F;*&F1F,FNF,F;F ,F,*(-FenF*F,F-F,F0F,F,*(,&*(F=F,F:F,FLF,F;*&F=F,F:F,F,F,F.F,FEF,F,F,F ,*&FFF,**F.F;F1FGFEF;,&*.F/F,FHF,FEF,F.F,F1F,FNF,F;*(F/F,FDF,,&*(F1F,F 6F,FLF,F,*&F1F,F6F,F;F,F,F,F,F,,&*&FFF,**F.F;,&*.F/F,FHF,F.F,FEF,--F86 #%\"zGF*F,F:F,F,**)FHF/F,F-F,F:F,%#EzGF,F,F,F1FGFEF;F,F,-FdpF*F," }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 14 "Namensgebung: " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "x(0):=x0: D(x)(0):=vx0: y(0):=y0: D(y)(0):= vy0:z(0):=z0: D(z)(0):=vz0;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>--%\"D G6#%\"zG6#\"\"!%$vz0G" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "elektris che Feldst\344rke:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "Ex:=0 : Ey:=-5:Ez:=1/10: simplify(rf(ZEIT));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7%,$*(%#BzG!\"$,.*(%#x0G\"\"\")%\"qG\"\"#F+)F&\"\"$F+!\"\"**-%%s inhG6#*(,$*()%\"mGF.F+F,F+)F&F.F+F1#F+F.F:!\"#%%ZEITGF+F+F7F<%$vx0GF+F &F+F+*(\"\"&F+F3F+F7FF+F+*,F;F+F-F+F:F+%$vy0GF+-%%c oshGF5F+F+**F;F+F-F+F:F+FDF+F1F+F-F=F1*(F&F=,.*(F3F+F7FF+F:F+%$vz0GF+F+*&)F>F. 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Ein Versehen? Nein, das passiert nun mal, wenn man mit diesen Maschinen arbeitet wie von selb st. Newtons Maschine und die Maple-Maschine verleiten zu einer tour d' horizon durch die Physik. Mit diesem Werkzeug (Maple) kann man das Exp eriment am Computer durchf\374hren und so \"mit Formeln forschen\" ... wenn man sie hat und versteht." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 25 "komma@ oe.uni-tuebingen.de" }}}}{MARK "0 0 0" 25 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }