Skip to content

Instantly share code, notes, and snippets.

@hsugawa8651
Created October 18, 2017 11:48
Show Gist options
  • Save hsugawa8651/fc87402b78ab87fc4dab0b3f941161e3 to your computer and use it in GitHub Desktop.
Save hsugawa8651/fc87402b78ab87fc4dab0b3f941161e3 to your computer and use it in GitHub Desktop.
20171018-double-y-plot.ipynb
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"using PyPlot"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Movement of the ball thrown into the vertically upward"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$ v = v_0 - g t$$\n",
"$$ y = v_0 t - \\frac{1}{2} g t^2 $$"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"9.8"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# gravitational acceleration\n",
"g=9.8 # u\"m/s^2\""
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0:0.05:2.0"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# time\n",
"ts= 0.0:0.05:2.0 # u\"s\""
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"10.0"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# initial velocity\n",
"v0 = 10.0 # u\"m/s\""
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"10.0:-0.49000000000000005:-9.600000000000001"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"vs=v0-g *ts"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x12874f6d8>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"1-element Array{PyCall.PyObject,1}:\n",
" PyObject <matplotlib.lines.Line2D object at 0x12ec909e8>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(ts,vs)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"ys=v0 * ts - 0.5 * g *ts.^2;"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x128504e80>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"1-element Array{PyCall.PyObject,1}:\n",
" PyObject <matplotlib.lines.Line2D object at 0x11503fb70>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot( ts, ys)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x11519a0f0>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x12809cac8>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig, ax1 = plt[:subplots]()\n",
"ax1[:plot]( ts, vs, \"b\")\n",
"ax2=ax1[:twinx]()\n",
"ax2[:plot]( ts, ys, \"g\" )\n",
"ax1[:set_xlabel]( \"time (s)\")\n",
"ax1[:set_ylabel]( \"velocity (m/s)\")\n",
"ax2[:set_ylabel]( \"height (m)\")\n"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x12ea09780>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.legend.Legend object at 0x12eb556a0>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig, ax1 = plt[:subplots]()\n",
"curve1=ax1[:plot]( ts, vs, \"b\", label=\"velocity\")\n",
"ax2=ax1[:twinx]()\n",
"curve2=ax2[:plot]( ts, ys, \"g\", label=\"height\" )\n",
"ax1[:set_xlabel]( \"time (s)\")\n",
"ax1[:set_ylabel]( \"velocity (m/s)\")\n",
"ax2[:set_ylabel]( \"height (m)\")\n",
"#\n",
"curves=[ curve1; curve2 ]\n",
"labels = [ c[:get_label]() for c in curves]\n",
"ax1[:legend](curves, labels, loc=0 )"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 0.6.0",
"language": "julia",
"name": "julia-0.6"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "0.6.0"
},
"toc": {
"colors": {
"hover_highlight": "#DAA520",
"running_highlight": "#FF0000",
"selected_highlight": "#FFD700"
},
"moveMenuLeft": true,
"nav_menu": {
"height": "12px",
"width": "252px"
},
"navigate_menu": true,
"number_sections": true,
"sideBar": true,
"threshold": 4,
"toc_cell": false,
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment