Re: School project - NEED HELP!

• To: mathgroup at smc.vnet.net
• Subject: [mg132211] Re: School project - NEED HELP!
• From: Bob Hanlon <hanlonr357 at gmail.com>
• Date: Sat, 18 Jan 2014 05:00:26 -0500 (EST)
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• Delivered-to: l-mathgroup@wolfram.com
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```This uses a gauge rather than a bar chart. Note that the color of both the
disk and the gauge marker change with the percentage of kinetic energy.

Manipulate[
Module[{TT, Potential, Kinetic, position, kineticPortion},
TT = (initialvelocity + Sqrt[initialvelocity^2 +
2 gravity height])/gravity;
Potential[t_] = gravity*(-.5 gravity t^2 +
initialvelocity t + height)*mass;
Kinetic[t_] = .5 mass (-gravity t + initialvelocity)^2;
position[t_] = -.5 gravity t^2 + initialvelocity t + height;
kineticPortion = Kinetic[time]/
(Kinetic[time] + Potential[time]);
If[time > TT, time = TT];
Grid[{{
Plot[
{position[tt], Potential[tt], Kinetic[tt]},
{tt, 0, TT + .0001},
Epilog -> {LightGray, AbsoluteDashing[{5, 5}],
Line[{
{time, 0},
{time, Max[Potential[time], Kinetic[time]]}}],
Blend[{Blue, Red}, kineticPortion],
Disk[
{time, position[time]},
5 mass {13, 23.5}/23.5]},
PlotRange -> {{-.5, 12.5}, {-.5, 23}},
AspectRatio -> 1,
PlotLegends -> {
StringForm["Position = ``",
NumberForm[position[time], {4, 2}]],
StringForm["Potential = ``",
NumberForm[Potential[time], {4, 2}]],
StringForm["Kinetic = ``",
NumberForm[Kinetic[time], {4, 2}]]}],
VerticalGauge[100 kineticPortion, {0, 100},
GaugeMarkers -> Graphics[{
Blend[{Blue, Red}, kineticPortion],
Disk[]}],
GaugeLabels -> "Percent Kinetic"]}},
ItemSize -> {{Scaled[.8], Scaled[.2]}},
Spacings -> 0]],
{{time, .0, "Time"}, 0.,
Round[Dynamic[
(initialvelocity +
Sqrt[initialvelocity^2 + 2 gravity height])/gravity],
.001], .01,
Appearance -> "Labeled",
ControlPlacement -> Bottom,
ImageSize -> Large},
Grid[{{Control[{{mass, .07, "Mass"}, .001, .1, .001,
ImageSize -> Tiny, Appearance -> "Labeled"}],
Spacer[40],
Control[{{gravity, 9.8, "Gravity"}, 1, 20, .01,
ImageSize -> Tiny,
Appearance -> "Labeled"}]}, {Control[{{initialvelocity, 5,
"Initial Velocity"},
0, 5, .01, ImageSize -> Tiny, Appearance -> "Labeled"}],
Spacer[40],
Control[{{height, 5., "Height"}, 0, 10, .01,
ImageSize -> Tiny, Appearance -> "Labeled"}]}}],
TrackedSymbols -> True]

Bob Hanlon

On Thu, Jan 16, 2014 at 1:55 AM, Jenhow Tan <jenh0w at hotmail.com> wrote:

> Is it possible to show the kinetic energy with a bar graph that varies
> over time manipulation? I'm getting an error asking for a pair of numbers
> of the coordinates, but I would then be unable to see the bar graph
> changing proportionally to time.
>
> I would also like it to solve the kinetic energy below my manipulation
> bars.
>
> Plot[{Potential[tt],
>   Kinetic[tt], -.5 gravity tt^2 + initialvelocity tt + height}, {tt,
>   0, TT + .005}, PlotStyle -> {Thick, Thick, {Dashed, Green}},
>  Epilog -> {White, AbsoluteDashing[{5, 5}],
>    Line[{{time, 0}, {time, Max[Potential[time], Kinetic[time]]}}],
>    RGBColor[0, .79, .6],
>    Disk[{time, -.5 gravity time^2 + initialvelocity time + height},
>     5 mass],
>
>    RGBColor[.6, .73, .36], Rectangle[{11, 0}, {12, Kinetic}]},
>
>  PlotRange -> {{-.5, 12.5}, {-.5, 23}}, AspectRatio -> Automatic,
>  PlotLegends -> {"Potential", "Kinetic", "Position"},
>  ImageSize -> 300, AxesLabel -> StandardForm[Height]],
>
>

```

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