Off[General::"spell"

4_animacao_media_1.nb
1
Movimento Harmônico Simples ( MHS )
Limpando todas as variáveis
Off@Remove::"rmnsm"D;
Off@General::"spell1"D;
Off@General::"spell"D;
Remove@"`∗"D;
$Line = 0;
Verificando se há alguma variável definida
Names@"`∗"D
8<
Abrindo pacotes gráficos
<< Graphics`Colors`
<< Utilities`FilterOptions`
Selecionando o diretório onde será
carregado o "template" deste notebook
diretorio = DirectoryName@
ToFileName@
"FileName" ê.
NotebookInformation@
EvaluationNotebook@DDDD;
$Path = Append@$Path, diretorioD;
4_animacao_media_1.nb
2
Pacote para plotar a curva correspondente as MHS
Options@SpringMassD =
8Mass → 1,
SpringConstant → 1,
DampingCoefficient → 0,
Color → Cobalt<;
SpringMass@8u0_, u1_<,
8t_, tmin_, tmax_<, opts___D :=
Module@8sol, solutiont, theta<,
m = Mass ê. 8opts< ê.
Options@SpringMassD;
r = DampingCoefficient ê. 8opts< ê.
Options@SpringMassD;
k = SpringConstant ê. 8opts< ê.
Options@SpringMassD;
clr = Color ê. 8opts< ê.
Options@SpringMassD;
sol = NDSolve@
8m theta ''@tD + r theta '@tD + k theta@tD 0,
theta@0D u0, theta '@0D u1<, theta,
8t, tmin, tmax<D;
solutiont = First@Evaluate@theta@tD ê. solDD;
Plot@solutiont, 8t, tmin, tmax<,
GridLines →
88Automatic, [email protected], White<<,
8Automatic, [email protected], White<<<,
AxesStyle →
[email protected], White<,
[email protected], White<<,
Background −> Black,
PlotStyle → [email protected], Red<,
AspectRatio → 1 ê GoldenRatio,
Frame → True,
ImageSize → 8650, 400<,
TextStyle → 8FontFamily −> "Helvetica",
4_animacao_media_1.nb
3
FontSize → 18,
FontWeight −> "Bold"<,
Evaluate@FilterOptions@Plot, optsDDDD
Pacote para gerar uma animação ao MHS
Options@SpringMassMovieD =
8Mass → 1,
SpringConstant → 1,
DampingCoefficient → 0,
Steps → 30,
Color → Cobalt<;
SpringMassMovie@
8u0_, u1_<, 8t_, tmin_, tmax_<, opts___D :=
Module@8sol, solutions, solutiont, tb,
uplot, prange, height, ymin, ymax,
plot1, plot2, tstep, time<,
m = Mass ê. 8opts< ê.
Options@SpringMassMovieD;
r = DampingCoefficient ê. 8opts< ê.
Options@SpringMassMovieD;
k = SpringConstant ê. 8opts< ê.
Options@SpringMassMovieD;
stepnum = Steps ê. 8opts< ê.
Options@SpringMassMovieD;
clr = Color ê. 8opts< ê.
Options@SpringMassMovieD;
tstep = If@stepnum ≠ 0,
Htmax − tminL ê Abs@stepnumD,
2 Htmax − tminLD;
sol = NDSolve@
8m theta ''@timeD + r theta '@timeD +
k theta@timeD 0,
theta@0D u0, theta '@0D u1<,
theta, 8time, tmin, tmax<D;
solutiont =
First@Evaluate@theta@timeD ê. solDD;
4_animacao_media_1.nb
uplot =
Plot@solutiont, 8time, tmin, tmax<,
Evaluate@FilterOptions@Plot, optsDD,
DisplayFunction → IdentityD;
prange =
FullOptions@uplot, PlotRangeD;
height =
Ceiling@Max@Abs@prange@@2DDDDD + 3.;
ymin = prange@@2, 1DD;
ymax = prange@@2, 2DD;
tb = Table@
8.25 H−1L ^ k, k Hheight − solutiontL ê 10 +
solutiont<, 8k, 1, 8<D;
tb = Prepend@tb, 80, solutiont<D;
tb = Append@tb, 80, height − 1<D;
solutions = solutiont ê. time → s;
Do@plot1 =
Plot@0, 8x, −1, 1<,
PlotStyle → [email protected], Red<,
Axes → 8False, True<,
PlotRange → 88−3, 3<, 8−height, height<<,
TextStyle → 8FontFamily −> "Helvetica",
FontSize → 12,
FontWeight −> "Bold"<,
Epilog → 8Line@tbD,
8Blue,
Rectangle@8−2, height − 1<,
82, height<D<,
8Black,
Text@
"Movimento Harmônico Simples",
80, 13<,
TextStyle →
8FontFamily → "Helvetica",
FontSize → 16,
FontWeight → "Bold"<D<,
8Black,
4
4_animacao_media_1.nb
Rectangle@8−.5, solutiont − .3<,
8.5, solutiont + .3<D<<,
DisplayFunction → Identity,
Ticks → 8None, Automatic<D;
plot2 =
Plot@solutions, 8s, tmin, time<,
PlotRange → 88tmin, tmax<, 8ymin, ymax<<,
PlotStyle → [email protected], Blue<,
FrameLabel → 8t, y<,
TextStyle → 8FontFamily −> "Helvetica",
FontSize → 15,
FontWeight −> "Bold"<,
GridLines → 88Automatic,
[email protected], Black<<,
8Automatic,
[email protected], Black<<<,
AxesStyle → [email protected], Red<,
[email protected], Red<<,
Frame → True,
DisplayFunction → IdentityD;
Show@GraphicsArray@8plot1, plot2<D,
Background → Banana,
ImageSize → 8650, 300<,
DisplayFunction → $DisplayFunctionD,
8time, tmin + .0000001,
tmax + .0000001, tstep<DD
SpringMass@83, 0<, 8t, 0, 10<D;
5
4_animacao_media_1.nb
6
3
2
1
0
-1
-2
-3
0
2
4
6
8
10
SpringMassMovie@85, 0<, 8t, 0, 15<, Steps → 100D
SelectionMove@EvaluationNotebook@D, After,
EvaluationCellD;
SelectionMove@EvaluationNotebook@D, Next,
CellGroupD;
FrontEndTokenExecute@"OpenCloseGroup"D;
4
5
2
2.5
0
y
7.5
0
-2
-2.5
-4
-5
-7.5
2
4
6
8
10 12 14
t
Final do notebook