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January 9, 2024 18:07
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PenduloDuplo.nb
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| Cell[BoxData[ | |
| TagBox[ | |
| StyleBox[ | |
| DynamicModuleBox[{$CellContext`g$$ = 10, $CellContext`gr$$ = | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x t", I$$ = | |
| 400, $CellContext`L1$$ = 1, $CellContext`L2$$ = 1, $CellContext`m1$$ = | |
| 1, $CellContext`m2$$ = 1, $CellContext`t1$$ = 0, $CellContext`tmax$$ = | |
| 10, $CellContext`v10$$ = 0, $CellContext`v20$$ = | |
| 0, $CellContext`\[Theta]10$$ = 0.5, $CellContext`\[Theta]20$$ = 0., | |
| Typeset`show$$ = True, Typeset`bookmarkList$$ = {}, | |
| Typeset`bookmarkMode$$ = "Menu", Typeset`animator$$, Typeset`animvar$$ = | |
| 1, Typeset`name$$ = "\"untitled\"", Typeset`specs$$ = {{ | |
| Hold[ | |
| Dynamic[ | |
| Show[{ | |
| Switch[$CellContext`gr$$, | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x t", | |
| Show[{ | |
| Plot[ | |
| $CellContext`ang1[$CellContext`t], {$CellContext`t, | |
| 0, $CellContext`tmax$$}, LabelStyle -> Directive[13], | |
| FrameLabel -> { | |
| "t", "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \ | |
| \)\)]\)(t)"}, PlotStyle -> Directive[ | |
| Darker[Red], Thick], GridLines -> Automatic, GridLinesStyle -> | |
| Directive[Black, Dashed], Frame -> True, PlotRange -> All, | |
| ImageSize -> 0.75 I$$, PlotLabel -> | |
| Style["\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x t", | |
| 15]]}], | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(2\)\(\\ \)\)]\)x t", | |
| Show[{ | |
| Plot[ | |
| $CellContext`ang2[$CellContext`t], {$CellContext`t, | |
| 0, $CellContext`tmax$$}, LabelStyle -> Directive[13], | |
| FrameLabel -> { | |
| "t", "\!\(\*SubscriptBox[\(\[Theta]\), \(\(2\)\(\\ \ | |
| \)\)]\)(t)"}, PlotStyle -> Thick, GridLines -> Automatic, GridLinesStyle -> | |
| Directive[Black, Dashed], Frame -> True, PlotRange -> All, | |
| ImageSize -> 0.75 I$$, PlotLabel -> | |
| Style["\!\(\*SubscriptBox[\(\[Theta]\), \(\(2\)\(\\ \)\)]\)x t", | |
| 15]]}], | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x \ | |
| \!\(\*SubscriptBox[\(\[Theta]\), \(\(2\)\(\\ \)\)]\)", | |
| Show[{ | |
| ParametricPlot[{ | |
| $CellContext`ang1[$CellContext`t], | |
| $CellContext`ang2[$CellContext`t]}, {$CellContext`t, | |
| 0, $CellContext`tmax$$}, LabelStyle -> Directive[13], | |
| FrameLabel -> { | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)(t)", | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(2\)\(\\ \)\)]\)(t)"}, | |
| PlotStyle -> Thick, GridLines -> Automatic, GridLinesStyle -> | |
| Directive[Black, Dashed], Frame -> True, PlotRange -> All, | |
| ImageSize -> 0.75 I$$, PlotLabel -> | |
| Style["\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x \!\ | |
| \(\*SubscriptBox[\(\[Theta]\), \(2\)]\)", 15]]}]]}]]], | |
| Manipulate`Dump`ThisIsNotAControl}, {{ | |
| Hold[$CellContext`gr$$], | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x t", | |
| Style["Gr\[AAcute]fico", Bold, 12]}, { | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x t", | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(2\)\(\\ \)\)]\)x t", | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x \ | |
| \!\(\*SubscriptBox[\(\[Theta]\), \(\(2\)\(\\ \)\)]\)"}}, { | |
| Hold[ | |
| Item["Controle do Tempo", Alignment -> Center]], | |
| Manipulate`Dump`ThisIsNotAControl}, {{ | |
| Hold[$CellContext`t1$$], 0, "Tempo (s)"}, 0, | |
| Dynamic[$CellContext`tmax$$], 0.2}, {{ | |
| Hold[$CellContext`t1$$], 0, "Tempo (s)"}, 0, | |
| Dynamic[$CellContext`tmax$$], 0.01}, {{ | |
| Hold[$CellContext`tmax$$], 10, "Tempo m\[AAcute]ximo (s)"}, 10, 50, | |
| 1}, { | |
| Hold[ | |
| Item["Vari\[AAcute]veis das Barras", Alignment -> Center]], | |
| Manipulate`Dump`ThisIsNotAControl}, {{ | |
| Hold[$CellContext`m1$$], 1, "Massa 1 (kg)"}, 0.1, 10, 0.1}, {{ | |
| Hold[$CellContext`m2$$], 1, "Massa 2 (kg)"}, 0.1, 10, 0.1}, {{ | |
| Hold[$CellContext`L1$$], 1, "Comprimento 1 (m)"}, 0.1, 10, 0.1}, {{ | |
| Hold[$CellContext`L2$$], 1, "Comprimento 2 (m)"}, 0.1, 10, 0.1}, {{ | |
| Hold[$CellContext`g$$], 10, | |
| "Gravidade (m/\!\(\*SuperscriptBox[\(s\), \(2\)]\))"}, 0.1, 20, 0.1}, { | |
| Hold[ | |
| Item["Condi\[CCedilla]\[OTilde]es Iniciais", Alignment -> Center]], | |
| Manipulate`Dump`ThisIsNotAControl}, {{ | |
| Hold[$CellContext`\[Theta]10$$], 0.5, | |
| "\[CapitalAHat]ngulo inicial 1 (rad)"}, 0, 2 Pi, 0.1}, {{ | |
| Hold[$CellContext`\[Theta]20$$], 1, | |
| "\[CapitalAHat]ngulo inicial 2 (rad)"}, 0, 2 Pi, 0.1}, {{ | |
| Hold[$CellContext`v10$$], 0, "Velocidade inicial 1 (m/s)"}, 0, 5, | |
| 0.1}, {{ | |
| Hold[$CellContext`v20$$], 0, "Velocidade inicial 2 (m/s)"}, 0, 5, | |
| 0.1}, { | |
| Hold[ | |
| Item["Imagem", Alignment -> Center]], | |
| Manipulate`Dump`ThisIsNotAControl}, {{ | |
| Hold[I$$], 400, "Tamanho da Imagem"}, 300, 700, 100}}, | |
| Typeset`size$$ = {360., {179., 182.}}, Typeset`update$$ = 0, | |
| Typeset`initDone$$, Typeset`skipInitDone$$ = | |
| True, $CellContext`gr$242799$$ = 0, $CellContext`t1$242800$$ = | |
| 0, $CellContext`tmax$242801$$ = 0, $CellContext`m1$242802$$ = | |
| 0, $CellContext`m2$242803$$ = 0, $CellContext`L1$242804$$ = | |
| 0, $CellContext`L2$242805$$ = 0, $CellContext`g$242806$$ = | |
| 0, $CellContext`\[Theta]10$242807$$ = | |
| 0, $CellContext`\[Theta]20$242808$$ = 0}, | |
| DynamicBox[Manipulate`ManipulateBoxes[ | |
| 1, StandardForm, | |
| "Variables" :> {$CellContext`g$$ = 10, $CellContext`gr$$ = | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x t", I$$ = | |
| 400, $CellContext`L1$$ = 1, $CellContext`L2$$ = 1, $CellContext`m1$$ = | |
| 1, $CellContext`m2$$ = 1, $CellContext`t1$$ = 0, $CellContext`tmax$$ = | |
| 10, $CellContext`v10$$ = 0, $CellContext`v20$$ = | |
| 0, $CellContext`\[Theta]10$$ = 0.5, $CellContext`\[Theta]20$$ = 1}, | |
| "ControllerVariables" :> { | |
| Hold[$CellContext`gr$$, $CellContext`gr$242799$$, 0], | |
| Hold[$CellContext`t1$$, $CellContext`t1$242800$$, 0], | |
| Hold[$CellContext`tmax$$, $CellContext`tmax$242801$$, 0], | |
| Hold[$CellContext`m1$$, $CellContext`m1$242802$$, 0], | |
| Hold[$CellContext`m2$$, $CellContext`m2$242803$$, 0], | |
| Hold[$CellContext`L1$$, $CellContext`L1$242804$$, 0], | |
| Hold[$CellContext`L2$$, $CellContext`L2$242805$$, 0], | |
| Hold[$CellContext`g$$, $CellContext`g$242806$$, 0], | |
| Hold[$CellContext`\[Theta]10$$, $CellContext`\[Theta]10$242807$$, 0], | |
| Hold[$CellContext`\[Theta]20$$, $CellContext`\[Theta]20$242808$$, 0]}, | |
| "OtherVariables" :> { | |
| Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, | |
| Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, | |
| Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$, | |
| Typeset`skipInitDone$$}, | |
| "Body" :> ($CellContext`solucao = | |
| NDSolve[{3 $CellContext`g$$ $CellContext`L1$$ $CellContext`m1$$ Sin[ | |
| $CellContext`\[Theta]1[$CellContext`t]] + | |
| 6 $CellContext`g$$ $CellContext`L1$$ $CellContext`m2$$ Sin[ | |
| $CellContext`\[Theta]1[$CellContext`t]] + | |
| 3 $CellContext`L1$$ $CellContext`L2$$ $CellContext`m2$$ | |
| Sin[$CellContext`\[Theta]1[$CellContext`t] - $CellContext`\ | |
| \[Theta]2[$CellContext`t]] | |
| Derivative[1][$CellContext`\[Theta]2][$CellContext`t]^2 + | |
| 2 $CellContext`L1$$^2 $CellContext`m1$$ | |
| Derivative[2][$CellContext`\[Theta]1][$CellContext`t] + | |
| 6 $CellContext`L1$$^2 $CellContext`m2$$ | |
| Derivative[2][$CellContext`\[Theta]1][$CellContext`t] + | |
| 3 $CellContext`L1$$ $CellContext`L2$$ $CellContext`m2$$ | |
| Cos[$CellContext`\[Theta]1[$CellContext`t] - $CellContext`\ | |
| \[Theta]2[$CellContext`t]] | |
| Derivative[2][$CellContext`\[Theta]2][$CellContext`t] == 0, | |
| 3 $CellContext`g$$ $CellContext`L2$$ $CellContext`m2$$ Sin[ | |
| $CellContext`\[Theta]2[$CellContext`t]] - | |
| 3 $CellContext`L1$$ $CellContext`L2$$ $CellContext`m2$$ | |
| Sin[$CellContext`\[Theta]1[$CellContext`t] - \ | |
| $CellContext`\[Theta]2[$CellContext`t]] | |
| Derivative[1][$CellContext`\[Theta]1][$CellContext`t]^2 + | |
| 3 $CellContext`L1$$ $CellContext`L2$$ $CellContext`m2$$ | |
| Cos[$CellContext`\[Theta]1[$CellContext`t] - $CellContext`\ | |
| \[Theta]2[$CellContext`t]] | |
| Derivative[2][$CellContext`\[Theta]1][$CellContext`t] + | |
| 2 $CellContext`L2$$^2 $CellContext`m2$$ | |
| Derivative[2][$CellContext`\[Theta]2][$CellContext`t] == | |
| 0, $CellContext`\[Theta]1[0] == $CellContext`\[Theta]10$$, | |
| Derivative[1][$CellContext`\[Theta]1][ | |
| 0] == $CellContext`v10$$, $CellContext`\[Theta]2[ | |
| 0] == $CellContext`\[Theta]20$$, | |
| Derivative[1][$CellContext`\[Theta]2][0] == $CellContext`v20$$}, { | |
| $CellContext`\[Theta]1[$CellContext`t], | |
| $CellContext`\[Theta]2[$CellContext`t]}, {$CellContext`t, | |
| 0, $CellContext`tmax$$}]; $CellContext`ang1[ | |
| Pattern[$CellContext`t, | |
| Blank[]]] = ReplaceAll[ | |
| $CellContext`\[Theta]1[$CellContext`t], | |
| First[$CellContext`solucao]]; $CellContext`ang2[ | |
| Pattern[$CellContext`t, | |
| Blank[]]] = ReplaceAll[ | |
| $CellContext`\[Theta]2[$CellContext`t], | |
| First[$CellContext`solucao]]; Show[ | |
| ReplaceAll[{ | |
| Graphics[{ | |
| Darker[Red], | |
| Rotate[{Thick, | |
| Rectangle[{-0.1, 0.1}, {0.1, -$CellContext`L1$$}]}, | |
| $CellContext`ang1[$CellContext`t], {0, 0}], Blue, | |
| Rotate[{Thick, | |
| Rectangle[{-0.1 + $CellContext`L1$$ Sin[ | |
| $CellContext`ang1[$CellContext`t]], | |
| 0.1 - $CellContext`L1$$ Cos[ | |
| $CellContext`ang1[$CellContext`t]]}, { | |
| 0.1 + $CellContext`L1$$ Sin[ | |
| $CellContext`ang1[$CellContext`t]], -$CellContext`L2$$ - \ | |
| $CellContext`L1$$ Cos[ | |
| $CellContext`ang1[$CellContext`t]]}]}, | |
| $CellContext`ang2[$CellContext`t], {$CellContext`L1$$ Sin[ | |
| $CellContext`ang1[$CellContext`t]], (-$CellContext`L1$$) Cos[ | |
| $CellContext`ang1[$CellContext`t]]}], Black, | |
| Disk[{$CellContext`L1$$ Sin[ | |
| $CellContext`ang1[$CellContext`t]], (-$CellContext`L1$$) Cos[ | |
| $CellContext`ang1[$CellContext`t]]}, 0.05], | |
| Disk[{0, 0}, 0.05], Red, | |
| Disk[{$CellContext`L1$$ (Sin[ | |
| $CellContext`ang1[$CellContext`t]]/ | |
| 2), (-$CellContext`L1$$) (Cos[ | |
| $CellContext`ang1[$CellContext`t]]/2)}, 0.05], Cyan, | |
| Disk[{$CellContext`L1$$ Sin[ | |
| $CellContext`ang1[$CellContext`t]] + $CellContext`L2$$ (Sin[ | |
| $CellContext`ang2[$CellContext`t]]/2), (-$CellContext`L1$$) | |
| Cos[ | |
| $CellContext`ang1[$CellContext`t]] - $CellContext`L2$$ (Cos[ | |
| $CellContext`ang2[$CellContext`t]]/2)}, 0.05]}, Frame -> | |
| True, GridLines -> Automatic, GridLinesStyle -> | |
| Directive[Black, Dashed]], | |
| ParametricPlot[{$CellContext`L1$$ (Sin[ | |
| $CellContext`ang1[$CellContext`t]]/2), (-$CellContext`L1$$) ( | |
| Cos[ | |
| $CellContext`ang1[$CellContext`t]]/2)}, {$CellContext`t, | |
| 0, $CellContext`tmax$$}, PlotStyle -> Red], | |
| ParametricPlot[{$CellContext`L1$$ Sin[ | |
| $CellContext`ang1[$CellContext`t]] + $CellContext`L2$$ (Sin[ | |
| $CellContext`ang2[$CellContext`t]]/2), (-$CellContext`L1$$) | |
| Cos[ | |
| $CellContext`ang1[$CellContext`t]] - $CellContext`L2$$ (Cos[ | |
| $CellContext`ang2[$CellContext`t]]/2)}, {$CellContext`t, | |
| 0, $CellContext`tmax$$}, PlotStyle -> | |
| Cyan]}, $CellContext`t -> $CellContext`t1$$], ImageSize -> I$$, | |
| Axes -> True, Ticks -> None, AspectRatio -> 1, | |
| PlotRange -> {{-3.1, 3.1}, {-3.2, 3.2}}]), "Specifications" :> { | |
| Dynamic[ | |
| Show[{ | |
| Switch[$CellContext`gr$$, | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x t", | |
| Show[{ | |
| Plot[ | |
| $CellContext`ang1[$CellContext`t], {$CellContext`t, | |
| 0, $CellContext`tmax$$}, LabelStyle -> Directive[13], | |
| FrameLabel -> { | |
| "t", "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \ | |
| \)\)]\)(t)"}, PlotStyle -> Directive[ | |
| Darker[Red], Thick], GridLines -> Automatic, GridLinesStyle -> | |
| Directive[Black, Dashed], Frame -> True, PlotRange -> All, | |
| ImageSize -> 0.75 I$$, PlotLabel -> | |
| Style["\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x \ | |
| t", 15]]}], "\!\(\*SubscriptBox[\(\[Theta]\), \(\(2\)\(\\ \)\)]\)x t", | |
| Show[{ | |
| Plot[ | |
| $CellContext`ang2[$CellContext`t], {$CellContext`t, | |
| 0, $CellContext`tmax$$}, LabelStyle -> Directive[13], | |
| FrameLabel -> { | |
| "t", "\!\(\*SubscriptBox[\(\[Theta]\), \(\(2\)\(\\ \ | |
| \)\)]\)(t)"}, PlotStyle -> Thick, GridLines -> Automatic, GridLinesStyle -> | |
| Directive[Black, Dashed], Frame -> True, PlotRange -> All, | |
| ImageSize -> 0.75 I$$, PlotLabel -> | |
| Style["\!\(\*SubscriptBox[\(\[Theta]\), \(\(2\)\(\\ \)\)]\)x \ | |
| t", 15]]}], | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x \ | |
| \!\(\*SubscriptBox[\(\[Theta]\), \(\(2\)\(\\ \)\)]\)", | |
| Show[{ | |
| ParametricPlot[{ | |
| $CellContext`ang1[$CellContext`t], | |
| $CellContext`ang2[$CellContext`t]}, {$CellContext`t, | |
| 0, $CellContext`tmax$$}, LabelStyle -> Directive[13], | |
| FrameLabel -> { | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)(t)", | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(2\)\(\\ \)\)]\)(t)"}, | |
| PlotStyle -> Thick, GridLines -> Automatic, GridLinesStyle -> | |
| Directive[Black, Dashed], Frame -> True, PlotRange -> All, | |
| ImageSize -> 0.75 I$$, PlotLabel -> | |
| Style["\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x \ | |
| \!\(\*SubscriptBox[\(\[Theta]\), \(2\)]\)", 15]]}]]}]], {{$CellContext`gr$$, | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x t", | |
| Style["Gr\[AAcute]fico", Bold, 12]}, { | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x t", | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(2\)\(\\ \)\)]\)x t", | |
| "\!\(\*SubscriptBox[\(\[Theta]\), \(\(1\)\(\\ \)\)]\)x \ | |
| \!\(\*SubscriptBox[\(\[Theta]\), \(\(2\)\(\\ \)\)]\)"}}, Delimiter, | |
| Item[ | |
| "Controle do Tempo", Alignment -> | |
| Center], {{$CellContext`t1$$, 0, "Tempo (s)"}, 0, | |
| Dynamic[$CellContext`tmax$$], 0.2, ControlType -> Animator, | |
| DisplayAllSteps -> True, | |
| AppearanceElements -> { | |
| "PlayPauseButton", "DirectionButton", "ResetButton", | |
| "StepLeftButton", "StepRightButton"}, AnimationRunning -> False, | |
| AnimationRate -> 10}, {{$CellContext`t1$$, 0, "Tempo (s)"}, 0, | |
| Dynamic[$CellContext`tmax$$], 0.01, ImageSize -> Small, Appearance -> | |
| "Labeled"}, {{$CellContext`tmax$$, 10, "Tempo m\[AAcute]ximo (s)"}, | |
| 10, 50, 1, ImageSize -> Small, Appearance -> "Labeled"}, Delimiter, | |
| Item[ | |
| "Vari\[AAcute]veis das Barras", Alignment -> | |
| Center], {{$CellContext`m1$$, 1, "Massa 1 (kg)"}, 0.1, 10, 0.1, | |
| ImageSize -> Small, Appearance -> | |
| "Labeled"}, {{$CellContext`m2$$, 1, "Massa 2 (kg)"}, 0.1, 10, 0.1, | |
| ImageSize -> Small, Appearance -> | |
| "Labeled"}, {{$CellContext`L1$$, 1, "Comprimento 1 (m)"}, 0.1, 10, | |
| 0.1, ImageSize -> Small, Appearance -> | |
| "Labeled"}, {{$CellContext`L2$$, 1, "Comprimento 2 (m)"}, 0.1, 10, | |
| 0.1, ImageSize -> Small, Appearance -> | |
| "Labeled"}, {{$CellContext`g$$, 10, | |
| "Gravidade (m/\!\(\*SuperscriptBox[\(s\), \(2\)]\))"}, 0.1, 20, 0.1, | |
| ImageSize -> Small, Appearance -> "Labeled"}, Delimiter, | |
| Item[ | |
| "Condi\[CCedilla]\[OTilde]es Iniciais", Alignment -> | |
| Center], {{$CellContext`\[Theta]10$$, 0.5, | |
| "\[CapitalAHat]ngulo inicial 1 (rad)"}, 0, 2 Pi, 0.1, ImageSize -> | |
| Small, Appearance -> | |
| "Labeled"}, {{$CellContext`\[Theta]20$$, 1, | |
| "\[CapitalAHat]ngulo inicial 2 (rad)"}, 0, 2 Pi, 0.1, ImageSize -> | |
| Small, Appearance -> | |
| "Labeled"}, {{$CellContext`v10$$, 0, "Velocidade inicial 1 (m/s)"}, | |
| 0, 5, 0.1, ImageSize -> Small, Appearance -> | |
| "Labeled"}, {{$CellContext`v20$$, 0, "Velocidade inicial 2 (m/s)"}, | |
| 0, 5, 0.1, ImageSize -> Small, Appearance -> "Labeled"}, Delimiter, | |
| Item[ | |
| "Imagem", Alignment -> Center], {{I$$, 400, "Tamanho da Imagem"}, 300, | |
| 700, 100, ImageSize -> Small, Appearance -> "Labeled"}}, | |
| "Options" :> {ControlPlacement -> Right, SynchronousUpdating -> True}, | |
| "DefaultOptions" :> {}], | |
| ImageSizeCache->{678., {322., 327.}}, | |
| SingleEvaluation->True], | |
| Deinitialization:>None, | |
| DynamicModuleValues:>{}, | |
| SynchronousInitialization->True, | |
| UnsavedVariables:>{Typeset`initDone$$}, | |
| UntrackedVariables:>{Typeset`size$$}], "Manipulate", | |
| Deployed->True, | |
| StripOnInput->False], | |
| Manipulate`InterpretManipulate[1]]], "Output", | |
| CellChangeTimes->{ | |
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| WindowSize->{963, 628}, | |
| WindowMargins->{{12, Automatic}, {Automatic, 0}}, | |
| Magnification->0.8999999761581421, | |
| FrontEndVersion->"9.0 for Microsoft Windows (64-bit) (November 20, 2012)", | |
| StyleDefinitions->"Default.nb" | |
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