{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "id": "pcndpdWoIkxS" }, "source": [ "# Polar and Cylindrical Frame of Reference\n", "\n", "> Renato Naville Watanabe, Marcos Duarte \n", "> [Laboratory of Biomechanics and Motor Control](http://pesquisa.ufabc.edu.br/bmclab) \n", "> Federal University of ABC, Brazil" ] }, { "cell_type": "markdown", "metadata": { "id": "PvNVAkU2IkxU" }, "source": [ "

Contents

\n", "
\n", "
" ] }, { "cell_type": "markdown", "metadata": { "id": "GPpBNq5dIkxU" }, "source": [ "## Python setup" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "ItG29THTIkxV" }, "outputs": [], "source": [ "import numpy as np\n", "import sympy as sym\n", "from sympy.plotting import plot_parametric,plot3d_parametric_line\n", "from sympy.vector import CoordSys3D\n", "import matplotlib.pyplot as plt\n", "# from matplotlib import rc\n", "# rc('text', usetex=True)\n", "sym.init_printing()" ] }, { "cell_type": "markdown", "metadata": { "id": "zwfLKpH_IkxV" }, "source": [ "Consider that we have the position vector $\\bf\\vec{r}$ of a particle, moving in a circular path indicated in the figure below by a dashed line. This vector $\\bf\\vec{r(t)}$ is described in a fixed reference frame as:\n", "
\n", "
\n", "\n", "\\begin{equation}\n", "{\\bf\\vec{r}}(t) = x(t){\\bf\\hat{i}} + y(t){\\bf\\hat{j}} + z(t){\\bf\\hat{k}}\n", "\\label{eq_1}\n", "\\end{equation}\n", "\n", "\n", "
Figure. Position vector of a moving particle moving in a circular path.
" ] }, { "cell_type": "markdown", "metadata": { "id": "qkzm0GKgIkxW" }, "source": [ "Naturally, we could describe all the kinematic variables in the fixed reference frame. But in circular motions, is convenient to define a basis with a vector in the direction of the position vector $\\bf\\vec{r}$. So, the vector $\\bf\\hat{e_R}$ is defined as:\n", "\n", "\n", "\\begin{equation}\n", "{\\bf\\hat{e_R}} = \\frac{\\bf\\vec{r}}{\\Vert{\\bf\\vec{r} }\\Vert}\n", "\\label{eq_2}\n", "\\end{equation}\n", "\n", "\n", "The second vector of the basis can be obtained by the cross multiplication between $\\bf\\hat{k}$ and $\\bf\\hat{e_R}$:\n", "

\n", "\n", "\n", "\\begin{equation}\n", "{\\bf\\hat{e_\\theta}} = {\\bf\\hat{k}} \\times {\\bf\\hat{e_R}}\n", "\\label{eq_3}\n", "\\end{equation}\n", "\n", "\n", "\n", "The third vector of the basis is the conventional ${\\bf\\hat{k}}$ vector.\n", "\n", "
Figure. Position vector of a particle moving in a circular path and a time-varying basis>
" ] }, { "cell_type": "markdown", "metadata": { "id": "o8HbT-r6IkxW" }, "source": [ "This basis can be used also for non-circular movements. For a 3D movement, the versor ${\\bf\\hat{e_R}}$ is obtained by removing the projection of the vector ${\\bf\\vec{r}}$ onto the versor ${\\bf\\hat{k}}$:\n", "
\n", "
\n", "\n", "\\begin{equation}\n", "{\\bf\\hat{e_R}} = \\frac{\\bf\\vec{r} - ({\\bf\\vec{r}.{\\bf\\hat{k}}){\\bf\\hat{k}}}}{\\Vert\\bf\\vec{r} - ({\\bf\\vec{r}.{\\bf\\hat{k}}){\\bf\\hat{k}}\\Vert}}\n", "\\label{eq_4}\n", "\\end{equation}\n", "\n", "\n", "
Figure. Position vector of a moving particle and a time-varying basis>
\n", "\n", "Note that if the movement is on a plane, the expression above is equal to ${\\bf\\hat{e_R}} = \\frac{\\bf\\vec{r}}{\\Vert{\\bf\\vec{r} }\\Vert}$ since the projection of $\\bf\\vec{r}$ on the $\\bf\\hat{k}$ versor is zero." ] }, { "cell_type": "markdown", "metadata": { "id": "9pDT7xe4IkxW" }, "source": [ "## Time-derivative of the versors ${\\bf\\hat{e_R}}$ and ${\\bf\\hat{e_\\theta}}$\n", "\n", "To obtain the expressions of the velocity and acceleration vectors, it is necessary to obtain the expressions of the time-derivative of the vectors ${\\bf\\hat{e_R}}$ and ${\\bf\\hat{e_\\theta}}$.\n", "\n", "This can be done by noting that:\n", "
\n", "
\n", "\n", "\\begin{align}\n", "{\\bf\\hat{e_R}} &= \\cos(\\theta){\\bf\\hat{i}} + \\sin(\\theta){\\bf\\hat{j}}\\\\\n", "{\\bf\\hat{e_\\theta}} &= -\\sin(\\theta){\\bf\\hat{i}} + \\cos(\\theta){\\bf\\hat{j}}\n", "\\label{eq_5}\n", "\\end{align}\n", "\n", "\n", "Deriving ${\\bf\\hat{e_R}}$ we obtain:\n", "
\n", "
\n", "\n", "\\begin{equation}\n", "\\frac{d{\\bf\\hat{e_R}}}{dt} = -\\sin(\\theta)\\dot\\theta{\\bf\\hat{i}} + \\cos(\\theta)\\dot\\theta{\\bf\\hat{j}} = \\dot{\\theta}{\\bf\\hat{e_\\theta}}\n", "\\label{eq_6}\n", "\\end{equation}\n", "\n", "\n", "Similarly, we obtain the time-derivative of ${\\bf\\hat{e_\\theta}}$:\n", "
\n", "
\n", "\n", "\\begin{equation}\n", " \\frac{d{\\bf\\hat{e_\\theta}}}{dt} = -\\cos(\\theta)\\dot\\theta{\\bf\\hat{i}} - \\sin(\\theta)\\dot\\theta{\\bf\\hat{j}} = -\\dot{\\theta}{\\bf\\hat{e_R}}\n", "\\label{eq_7}\n", "\\end{equation}\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "eX5EezQRIkxX" }, "source": [ "## Position, velocity and acceleration" ] }, { "cell_type": "markdown", "metadata": { "id": "z7eheaKIIkxX" }, "source": [ "### Position\n", "\n", "The position vector $\\bf\\vec{r}$, from the definition of $\\bf\\hat{e_R}$, is:\n", "
\n", "
\n", "\n", "\\begin{equation}\n", "{\\bf\\vec{r}} = R{\\bf\\hat{e_R}} + z{\\bf\\hat{k}}\n", "\\label{eq_8}\n", "\\end{equation}\n", "\n", "\n", "where $R = \\Vert\\bf\\vec{r} - ({\\bf\\vec{r}.{\\bf\\hat{k}}){\\bf\\hat{k}}\\Vert}$." ] }, { "cell_type": "markdown", "metadata": { "id": "0HjBgStLIkxX" }, "source": [ "### Velocity\n", "\n", "The velocity vector $\\bf\\vec{v}$ is obtained by deriving the vector $\\bf\\vec{r}$:\n", "
\n", "
\n", "\n", "\\begin{equation}\n", "{\\bf\\vec{v}} = \\frac{d(R{\\bf\\hat{e_R}})}{dt} + \\dot{z}{\\bf\\hat{k}} = \\dot{R}{\\bf\\hat{e_R}}+R\\frac{d\\bf\\hat{e_R}}{dt}=\\dot{R}{\\bf\\hat{e_R}}+R\\dot{\\theta}{\\bf\\hat{e_\\theta}}+ \\dot{z}{\\bf\\hat{k}}\n", "\\label{eq_9}\n", "\\end{equation}\n", "" ] }, { "cell_type": "markdown", "metadata": { "id": "StxEc6WOIkxX" }, "source": [ "### Acceleration\n", "\n", "The acceleration vector $\\bf\\vec{a}$ is obtained by deriving the velocity vector:\n", "
\n", "
\n", "\n", "\\begin{align}\n", "{\\bf\\vec{a}} =& \\frac{d(\\dot{R}{\\bf\\hat{e_R}}+R\\dot{\\theta}{\\bf\\hat{e_\\theta}}+\\dot{z}{\\bf\\hat{k}})}{dt}=\\\\\\nonumber\n", " =&\\ddot{R}{\\bf\\hat{e_R}}+\\dot{R}\\frac{d\\bf\\hat{e_R}}{dt} + \\dot{R}\\dot{\\theta}{\\bf\\hat{e_\\theta}} + R\\ddot{\\theta}{\\bf\\hat{e_\\theta}} + R\\dot{\\theta}\\frac{d{\\bf\\hat{e_\\theta}}}{dt} + \\ddot{z}{\\bf\\hat{k}}=\\\\\\nonumber\n", " =&\\ddot{R}{\\bf\\hat{e_R}}+\\dot{R}\\dot{\\theta}{\\bf\\hat{e_\\theta}} + \\dot{R}\\dot{\\theta}{\\bf\\hat{e_\\theta}} + R\\ddot{\\theta}{\\bf\\hat{e_\\theta}} - R\\dot{\\theta}^2{\\bf\\hat{e_R}}+ \\ddot{z}{\\bf\\hat{k}} =\\\\\n", " =&\\ddot{R}{\\bf\\hat{e_R}}+2\\dot{R}\\dot{\\theta}{\\bf\\hat{e_\\theta}}+ R\\ddot{\\theta}{\\bf\\hat{e_\\theta}} - {R}\\dot{\\theta}^2{\\bf\\hat{e_R}}+ \\ddot{z}{\\bf\\hat{k}} =\\\\\\nonumber\n", " =&(\\ddot{R}-R\\dot{\\theta}^2){\\bf\\hat{e_R}}+(2\\dot{R}\\dot{\\theta} + R\\ddot{\\theta}){\\bf\\hat{e_\\theta}}+ \\ddot{z}{\\bf\\hat{k}}\\nonumber\n", "\\label{eq_10}\n", "\\end{align}\n", "\n", "\n", "+ The term $\\ddot{R}$ is an acceleration in the radial direction.\n", "\n", "+ The term $R\\ddot{\\theta}$ is an angular acceleration.\n", "\n", "+ The term $\\ddot{z}$ is an acceleration in the $\\bf\\hat{k}$ direction.\n", "\n", "+ The term $-R\\dot{\\theta}^2$ is the well known centripetal acceleration.\n", "\n", "+ The term $2\\dot{R}\\dot{\\theta}$ is known as Coriolis acceleration. This term may be difficult to understand intuitively. It appears when there is displacement in the radial and angular directions at the same time." ] }, { "cell_type": "markdown", "metadata": { "id": "8eWRGbkNIkxX" }, "source": [ "## Important to note\n", "\n", "The reader must bear in mind that the use of a different basis to represent the position, velocity or acceleration vectors is only a different representation of the same vector. For example, for the acceleration vector:\n", "
\n", "
\n", "\n", "\\begin{equation}\n", "{\\bf\\vec{a}} = \\ddot{x}{\\bf\\hat{i}}+ \\ddot{y}{\\bf\\hat{j}} + \\ddot{z}{\\bf\\hat{k}}=(\\ddot{R}-R\\dot{\\theta}^2){\\bf\\hat{e_R}}+(2\\dot{R}\\dot{\\theta} + R\\ddot{\\theta}){\\bf\\hat{e_\\theta}} + \\ddot{z}{\\bf\\hat{k}}=\\dot{\\Vert\\bf\\vec{v}\\Vert}{\\bf\\hat{e}_t}+\\frac{{\\Vert\\bf\\vec{v}\\Vert}^2}{\\rho}{\\bf\\hat{e}_n}\n", "\\label{eq_11}\n", "\\end{equation}\n", "\n", "\n", "In which the last equality is the acceleration vector represented in the path-coordinate of the particle (see http://nbviewer.jupyter.org/github/BMClab/bmc/blob/master/notebooks/Time-varying%20frames.ipynb)." ] }, { "cell_type": "markdown", "metadata": { "id": "6wrT4NjQIkxX" }, "source": [ "## Example\n", "\n", "Consider a particle following the spiral path described below:\n", "
\n", "
\n", "\n", "\\begin{equation}\n", "{\\bf\\vec{r}}(t) = \\left(2\\sqrt{t}\\cos(t)\\right){\\bf\\hat{i}}+ \\left(2\\sqrt{t}\\sin(t)\\right){\\bf\\hat{j}}\n", "\\label{eq_12}\n", "\\end{equation}\n", "" ] }, { "cell_type": "markdown", "metadata": { "id": "eysd1CSyIkxY" }, "source": [ "### Solving numerically" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "-qGdNBfIIkxY" }, "outputs": [], "source": [ "t = np.linspace(0.01,10,30).reshape(-1,1) #create a time vector and reshapes it to a column vector\n", "R = 2*np.sqrt(t)\n", "theta = t\n", "rx = R*np.cos(theta)\n", "ry = R*np.sin(theta)\n", "r = np.hstack((rx, ry)) # creates the position vector by stacking rx and ry horizontally\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "o_t2sZpcIkxY" }, "outputs": [], "source": [ "e_r = r/np.linalg.norm(r, axis=1, keepdims=True) # defines e_r vector\n", "e_theta = np.cross([0,0,1],e_r)[:,0:-1] # defines e_theta vector\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "cz7wvRApIkxY" }, "outputs": [], "source": [ "dt = t[1,0] #defines delta_t\n", "Rdot = np.gradient(R, dt, axis=0) #find the R derivative\n", "thetaDot = np.gradient(theta, dt, axis=0) #find the angle derivative\n", "v = Rdot*e_r +R*thetaDot*e_theta # find the linear velocity." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "7ZSzpTk5IkxY" }, "outputs": [], "source": [ "Rddot = np.gradient(Rdot, dt, axis=0)\n", "thetaddot = np.gradient(thetaDot, dt, axis=0)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "vtc6q0MnIkxY" }, "outputs": [], "source": [ "a = ((Rddot - R*thetaDot**2)*e_r\n", " + (2*Rdot*thetaDot + R*thetaddot)*e_theta)" ] }, { "cell_type": "markdown", "metadata": { "id": "FHsTjMmSIkxY" }, "source": [ "The versors $\\bf\\hat{e_R}$, $\\bf\\hat{e_\\theta}$ are plotted below at some points of the path." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "PTSa2EBYIkxY", "outputId": "45226246-cc7e-4d51-a965-40324e804a41" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib.patches import FancyArrowPatch\n", "%matplotlib inline\n", "plt.rcParams['figure.figsize'] = (8,8)\n", "fig = plt.figure()\n", "\n", "ax = fig.add_axes([0,0,1,1])\n", "plt.plot(r[:,0],r[:,1],'.')\n", "for i in np.arange(len(t)-2):\n", " vec1 = FancyArrowPatch(r[i,:],r[i,:]+e_r[i,:],mutation_scale=30,color='r', label='e_r')\n", " vec2 = FancyArrowPatch(r[i,:],r[i,:]+e_theta[i,:],mutation_scale=30,color='g', label='e_theta')\n", " ax.add_artist(vec1)\n", " ax.add_artist(vec2)\n", "plt.xlim((-10,10))\n", "plt.ylim((-10,10))\n", "plt.grid()\n", "plt.legend([vec1, vec2],[r'$\\vec{e_r}$', r'$\\vec{e_{\\theta}}$'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "YnEWzrOWIkxZ" }, "source": [ "The velocity and acceleleration of the particle are plotted below at some points of the path." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "tcTgAhmmIkxZ", "outputId": "6da313b8-9c70-476a-db3a-8977e9ca547b" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib.patches import FancyArrowPatch\n", "%matplotlib inline\n", "plt.rcParams['figure.figsize'] = (8,8)\n", "fig = plt.figure()\n", "plt.plot(r[:,0],r[:,1],'.')\n", "ax = fig.add_axes([0,0,1,1])\n", "for i in np.arange(len(t)-2):\n", " vec1 = FancyArrowPatch(r[i,:],r[i,:]+v[i,:],mutation_scale=10,color='r')\n", " vec2 = FancyArrowPatch(r[i,:],r[i,:]+a[i,:],mutation_scale=10,color='g')\n", " ax.add_artist(vec1)\n", " ax.add_artist(vec2)\n", "plt.xlim((-10,10))\n", "plt.ylim((-10,10))\n", "plt.grid()\n", "plt.legend([vec1, vec2],[r'$\\vec{v}$', r'$\\vec{a}$'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "mJVLbU24IkxZ" }, "source": [ "### Solved symbolically (extra reading)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "6ikIt8fbIkxZ" }, "outputs": [], "source": [ "O = sym.vector.CoordSys3D(' ')\n", "t = sym.symbols('t')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "r_LdX2mQIkxZ", "outputId": "5f6ebbcc-d133-4465-c342-0e47388eb4a3" }, "outputs": [ { "data": { "image/png": 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"text/latex": [ "$\\displaystyle \\left(2 \\sqrt{t} \\cos{\\left(t \\right)}\\right)\\mathbf{\\hat{i}_{ }} + \\left(2 \\sqrt{t} \\sin{\\left(t \\right)}\\right)\\mathbf{\\hat{j}_{ }}$" ], "text/plain": [ "(2⋅√t⋅cos(t)) i_ + (2⋅√t⋅sin(t)) j_ " ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "r = 2*sym.sqrt(t)*sym.cos(t)*O.i+2*sym.sqrt(t)*sym.sin(t)*O.j\n", "r" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "N0jHIp_hIkxZ", "outputId": "4f9b57b8-4fab-4720-928b-9c26f28e46b8" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_parametric(r.dot(O.i),r.dot(O.j),(t,0,10))" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "plymgtYpIkxa", "outputId": "fd580c1f-2354-4237-ee8a-7c7db24eaa2d" }, "outputs": [ { "data": { "image/png": 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"text/latex": [ "$\\displaystyle \\left(\\cos{\\left(t \\right)}\\right)\\mathbf{\\hat{i}_{ }} + \\left(\\sin{\\left(t \\right)}\\right)\\mathbf{\\hat{j}_{ }}$" ], "text/plain": [ "(cos(t)) i_ + (sin(t)) j_ " ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "e_r = sym.simplify(r/sym.sqrt(r.dot(O.i)**2+r.dot(O.j)**2+r.dot(O.k)**2))\n", "e_r" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "_Xg-VGlgIkxa", "outputId": "2b2a11a7-e0c8-4888-c89e-276509be2522" }, "outputs": [ { "data": { "image/png": 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"text/latex": [ "$\\displaystyle \\left(- \\sin{\\left(t \\right)}\\right)\\mathbf{\\hat{i}_{ }} + \\left(\\cos{\\left(t \\right)}\\right)\\mathbf{\\hat{j}_{ }}$" ], "text/plain": [ "(-sin(t)) i_ + (cos(t)) j_ " ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "e_theta = O.k.cross(e_r)\n", "e_theta" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "9A4IwSINIkxa", "outputId": "ce57bfe2-5384-400f-e5f3-88c04a92bc32" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib.patches import FancyArrowPatch\n", "plt.rcParams['figure.figsize'] = (8,8)\n", "fig = plt.figure()\n", "ax = fig.add_axes([0, 0, 1, 1])\n", "ax.axis(\"on\")\n", "time = np.linspace(0,10,30)\n", "for instant in time:\n", " vt = FancyArrowPatch([float(r.dot(O.i).subs(t,instant)),float(r.dot(O.j).subs(t,instant))],\n", " [float(r.dot(O.i).subs(t,instant))+float(e_r.dot(O.i).subs(t,instant)),\n", " float(r.dot(O.j).subs(t, instant))+float(e_r.dot(O.j).subs(t,instant))],\n", " mutation_scale=20,\n", " arrowstyle=\"->\",color=\"r\",label='${{e_r}}$')\n", " vn = FancyArrowPatch([float(r.dot(O.i).subs(t, instant)),float(r.dot(O.j).subs(t,instant))],\n", " [float(r.dot(O.i).subs(t, instant))+float(e_theta.dot(O.i).subs(t, instant)),\n", " float(r.dot(O.j).subs(t, instant))+float(e_theta.dot(O.j).subs(t, instant))],\n", " mutation_scale=20,\n", " arrowstyle=\"->\",color=\"g\",label='${{e_{theta}}}$')\n", " ax.add_artist(vn)\n", " ax.add_artist(vt)\n", "plt.xlim((-10,10))\n", "plt.ylim((-10,10))\n", "plt.legend(handles=[vt,vn],fontsize=20)\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "PvBcJAKxIkxa" }, "outputs": [], "source": [ "R = 2*sym.sqrt(t)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "vaGEtaG8Ikxa", "outputId": "07c7e55c-6b9e-443b-f679-1ef8a4ddacfa" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOCAYAAAAWo42rAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAz0lEQVQoFXWS4Q2CMBCFhQkIbqAjqBvgBsoGOkf/GUbQFXQENjAyAhtA2AC/V3tGG2hyeXdfH71LSzKO48KWc64KeYeuiQrWiiVmBLyoL+hDG2iGiO3J2zTAM5qZKbAB1UdX1d6IHolGIFpP6kKnm7EA9JFJpZ8PLdIwy4TnD+U6MQ9IM82tb+s5g/GlTpyazQzWrdOM1lL3Fi9jn3tktyZWsYvaTqzteu7A7YRxA2vU1RtJboAePZiZXG1L4iT2+9ba0E8xEPopdoTe3r/YGx/SQ0OZAIYmAAAAAElFTkSuQmCC\n", "text/latex": [ "$\\displaystyle 0$" ], "text/plain": [ "0" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Rdot = sym.diff(R,t)\n", "Rddot = sym.diff(Rdot,t)\n", "theta = t\n", "thetadot = sym.diff(theta, t)\n", "thetaddot = sym.diff(thetadot, t)\n", "thetaddot" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "_Ku3iPS9Ikxa" }, "outputs": [], "source": [ "v = Rdot*e_r + R*thetadot*e_theta" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "mqnEoBbaIkxa", "outputId": "1ba128da-322a-45be-e5b2-f3eff78debfc" }, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle \\left(- 2 \\sqrt{t} \\sin{\\left(t \\right)} + \\frac{\\cos{\\left(t \\right)}}{\\sqrt{t}}\\right)\\mathbf{\\hat{i}_{ }} + \\left(2 \\sqrt{t} \\cos{\\left(t \\right)} + \\frac{\\sin{\\left(t \\right)}}{\\sqrt{t}}\\right)\\mathbf{\\hat{j}_{ }}$" ], "text/plain": [ "⎛ cos(t)⎞ ⎛ sin(t)⎞ \n", "⎜-2⋅√t⋅sin(t) + ──────⎟ i_ + ⎜2⋅√t⋅cos(t) + ──────⎟ j_ \n", "⎝ √t ⎠ ⎝ √t ⎠ " ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "v" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "jubK_ZtNIkxb", "outputId": "adc8c35f-e8b3-42e9-edb4-47134d566b7f" }, "outputs": [ { "data": { "image/png": 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y7P1c9iXq4Z8rPdB53z7KLs1xxtqwbl0LM/8Hd8qaueyFjo0AAAAASUVORK5CYII=\n", "text/latex": [ "$\\displaystyle \\left(- \\frac{2 \\sin{\\left(t \\right)}}{\\sqrt{t}}\\right)\\mathbf{\\hat{i}_{ }} + \\left(\\frac{2 \\cos{\\left(t \\right)}}{\\sqrt{t}}\\right)\\mathbf{\\hat{j}_{ }}$" ], "text/plain": [ "⎛-2⋅sin(t) ⎞ ⎛2⋅cos(t)⎞ \n", "⎜──────────⎟ i_ + ⎜────────⎟ j_ \n", "⎝ √t ⎠ ⎝ √t ⎠ " ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a = (Rddot - R*thetadot**2)*e_r + (2*Rdot*thetadot+R*thetaddot)*e_theta\n", "aCor = 2*Rdot*thetadot*e_theta\n", "aCor" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "k2bRAsruIkxb", "outputId": "a4507d57-7357-478e-acf4-5dfd776eb93f" }, "outputs": [ { "data": { "image/png": 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\n", "text/latex": [ "$\\displaystyle \\left(\\left(- 2 \\sqrt{t} - \\frac{1}{2 t^{\\frac{3}{2}}}\\right) \\cos{\\left(t \\right)} - \\frac{2 \\sin{\\left(t \\right)}}{\\sqrt{t}}\\right)\\mathbf{\\hat{i}_{ }} + \\left(\\left(- 2 \\sqrt{t} - \\frac{1}{2 t^{\\frac{3}{2}}}\\right) \\sin{\\left(t \\right)} + \\frac{2 \\cos{\\left(t \\right)}}{\\sqrt{t}}\\right)\\mathbf{\\hat{j}_{ }}$" ], "text/plain": [ "⎛⎛ 1 ⎞ 2⋅sin(t)⎞ ⎛⎛ 1 ⎞ 2⋅cos(t)⎞ \n", "⎜⎜-2⋅√t - ──────⎟⋅cos(t) - ────────⎟ i_ + ⎜⎜-2⋅√t - ──────⎟⋅sin(t) + ────────⎟ j_ \n", "⎜⎜ 3/2⎟ √t ⎟ ⎜⎜ 3/2⎟ √t ⎟ \n", "⎝⎝ 2⋅t ⎠ ⎠ ⎝⎝ 2⋅t ⎠ ⎠ " ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": true, "id": "tjuUuhMRIkxb", "outputId": "e677f93b-7dac-4bf4-f786-e4920f886988" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib.patches import FancyArrowPatch\n", "plt.rcParams['figure.figsize'] = (8,8)\n", "fig = plt.figure()\n", "ax = fig.add_axes([0, 0, 1, 1])\n", "ax.axis(\"on\")\n", "time = np.linspace(0.1,10,30)\n", "for instant in time:\n", " vt = FancyArrowPatch([float(r.dot(O.i).subs(t,instant)),float(r.dot(O.j).subs(t,instant))],\n", " [float(r.dot(O.i).subs(t,instant))+float(v.dot(O.i).subs(t,instant)),\n", " float(r.dot(O.j).subs(t, instant))+float(v.dot(O.j).subs(t,instant))],\n", " mutation_scale=20,\n", " arrowstyle=\"->\",color=\"r\",label='${{v}}$')\n", " vn = FancyArrowPatch([float(r.dot(O.i).subs(t, instant)),float(r.dot(O.j).subs(t,instant))],\n", " [float(r.dot(O.i).subs(t, instant))+float(a.dot(O.i).subs(t, instant)),\n", " float(r.dot(O.j).subs(t, instant))+float(a.dot(O.j).subs(t, instant))],\n", " mutation_scale=20,\n", " arrowstyle=\"->\",color=\"g\",label='${{a}}$')\n", " vc = FancyArrowPatch([float(r.dot(O.i).subs(t, instant)),float(r.dot(O.j).subs(t,instant))],\n", " [float(r.dot(O.i).subs(t, instant))+float(aCor.dot(O.i).subs(t, instant)),\n", " float(r.dot(O.j).subs(t, instant))+float(aCor.dot(O.j).subs(t, instant))],\n", " mutation_scale=20,\n", " arrowstyle=\"->\",color=\"b\",label='${{a_{Cor}}}$')\n", " ax.add_artist(vn)\n", " ax.add_artist(vt)\n", " ax.add_artist(vc)\n", "plt.xlim((-10,10))\n", "plt.ylim((-10,10))\n", "plt.legend(handles=[vt,vn,vc],fontsize=20)\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "c3RUa9wPIkxb" }, "source": [ "## Further reading\n", "\n", "- Read pages 916-931 of the 18th chapter of the [Ruina and Rudra's book] (http://ruina.tam.cornell.edu/Book/index.html) about polar coordinates." ] }, { "cell_type": "markdown", "metadata": { "id": "ohQaicbiIkxe" }, "source": [ "## Video lectures on the Internet\n", "\n", "- Khan Academy:\n", " - [Polar coordinates 1](https://www.youtube.com/watch?v=B5dOy4m6I1E)\n", " - [Polar coordinates 2](https://www.youtube.com/watch?v=1pQXJuWbz9w)\n", " - [Polar coordinates 3](https://www.youtube.com/watch?v=roSG9V3zApM) " ] }, { "cell_type": "markdown", "metadata": { "id": "nM6WGM3zIkxe" }, "source": [ "## Problems\n", "\n", "1. Find the polar basis (using the computer) for a projectile motion of a particle following the parametric equation below:\n", "\n", "\n", "\\begin{equation}\n", "\\vec{r}(t) = (10t-51){\\bf{\\hat{i}}} + \\left(-\\frac{9,81}{2}t^2+50t+100\\right){\\bf{\\hat{j}}}\n", "\\label{eq_13}\n", "\\end{equation}\n", "\n", "\n", "2. Problems from 15.1.1 to 15.1.14 from Ruina and Rudra's book,\n", "3. Problems from 18.1.1 to 18.1.8 and 18.1.10 from Ruina and Rudra's book.\n", "4. Solve the problems 1.19 and 1.20 from Rade's book." ] }, { "cell_type": "markdown", "metadata": { "id": "yhuTJ6M0Ikxe" }, "source": [ "## Reference\n", "\n", "- Ruina A, Rudra P (2019) [Introduction to Statics and Dynamics](http://ruina.tam.cornell.edu/Book/index.html). Oxford University Press." ] }, { "cell_type": "markdown", "source": [ "\n", "\n", "---\n", "\n" ], "metadata": { "id": "wZ1xhXWaJEid" } }, { "cell_type": "markdown", "source": [ "![Screenshot from 2023-10-25 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)" ], "metadata": { "id": "ZUsn568yIuOv" } }, { "cell_type": "markdown", "source": [ "*Antes de tudo, os dois itens expressam a posição da partícula em termos de coordenadas radial e ângulo, então precisamos utilizar coordenadas polares e um referencial baseado neste sistema de coordenadas como descrito na aula [Polar and Cylindrical Frame of Reference](https://nbviewer.org/github/BMClab/bmc/blob/master/notebooks/PolarBasis.ipynb).* \n", "\n", "No livro do Ruina, quando tem um asterisco no problema, significa que uma solução (sem dedução) é apresentada no final do livro (neste caso, p. 1203). \n", "Neste caso tem apenas a solução para o plot 2:\n", "\n", " a) $\\quad \\vec{v} = \\dfrac{\\dot{\\theta}}{b}\\hat{e}_r+\\dfrac{\\theta\\dot{\\theta}}{b}\\hat{e}_t $\n", "\n", " b) $\\quad x=r\\cos(br) \\quad$ e $\\quad y=r\\sin(br) \\quad$ ou $\\quad x=\\dfrac{\\theta}{b}\\cos(\\theta) \\quad$ e $\\quad y=\\dfrac{\\theta}{b}\\sin(\\theta) $" ], "metadata": { "id": "ThnGQOE6Izby" } }, { "cell_type": "markdown", "source": [ "Dedução para plot 2, que por curiosidade é conhecida como [espiral de Arquimedes](https://en.wikipedia.org/wiki/Archimedean_spiral):\n", "\n", "Velocidade da partícula em termos de $b, \\theta, \\dot{\\theta}$:\n", "\n", "Do enunciado sabe-se que $\\theta=br$, que é uma expressão para a magnitude das grandezas, e pede-se a velocidade, que é uma grandeza vetorial. \n", "Então não podemos simplesmente calcular a derivada da expressão para $r$, temos que expressar a velocidade num referencial, que neste caso o mais simples é um referencial polar.\n", "\n", "Do notebook [Polar and Cylindrical Frame of Reference](https://nbviewer.org/github/BMClab/bmc/blob/master/notebooks/PolarBasis.ipynb), sabe-se que a expressão para velocidade em um referencial polar é: \n", "\n", "$$\\vec{v}=\\dot{r}\\hat{e}_r+r\\dot{\\theta}{\\hat{e}_\\theta}$$\n", "\n", "Como $r=\\frac{\\theta}{b}$, é necessário calcular a derivada de $r$ e colocá-la na expressão acima (no notebook, a base tangencial é referida pelo subscrito '$\\theta$' e o livro do Ruina usa '$t$', mas é a mesma coisa:\n", "\n", "$\\dot{r}=\\frac{\\dot{\\theta}}{b}$, então:\n", "\n", "$\\vec{v}=\\dfrac{\\dot{\\theta}}{b}\\hat{e}_r+\\dfrac{\\theta\\dot{\\theta}}{b}\\hat{e}_t$\n", "\n", "*A maior dificuldade desta parte é lembrar a expressão para a velocidade em termos do referencial polar ou cilíndrico.* \n", "\n", "Expressões para as coordenadas $x$ e $y$:\n", "\n", "No enunciado do problema é mostrado um sistema de coordenadas cartesiano, $x$ na horizontal e $y$ na vertical. \n", "Do enunciado sabe-se que $\\theta=br$, então por simples trigonometria: \n", "\n", "$x = r\\cos(br) \\quad$ e $\\quad y = r\\sin(br) \\quad$ ou \n", "\n", "$x=\\dfrac{\\theta}{b}\\cos(\\theta) \\quad$ e $\\quad y=\\dfrac{\\theta}{b}\\sin(\\theta)$" ], "metadata": { "id": "DprqjDDDI5Mw" } }, { "cell_type": "markdown", "source": [ "Dedução para plot 1, que por curiosidade é conhecida como [espiral de Lituus](https://en.wikipedia.org/wiki/Lituus_(mathematics)):\n", "\n", "Agora $\\quad r=\\dfrac{b}{\\sqrt{\\theta}}$\n", "\n", "Repetindo-se os passos da dedução para o plot 2, chega-se na solução:\n", "\n", " a) $\\quad \\vec{v} = -\\dfrac{b\\dot{\\theta}}{2\\theta^{3/2}}\\hat{e}_r+\\dfrac{b\\dot{\\theta}}{\\sqrt{\\theta}}\\hat{e}_t $\n", "\n", " b) $\\quad x=r\\cos(\\dfrac{b^2}{r^2}) \\quad$ e $\\quad y=r\\sin(\\dfrac{b^2}{r^2}) \\quad$ ou $\\quad x=\\dfrac{b}{\\sqrt{\\theta}}\\cos(\\theta) \\quad$ e $\\quad y=\\dfrac{b}{\\sqrt{\\theta}}\\sin(\\theta) $\n", "\n", "*Talvez agora a maior dificuldade é lembrar de como se calcula a derivada temporal de $r=\\dfrac{b}{\\sqrt{\\theta}}$. Lembre que quem depende do tempo é $\\theta$, então é necessário usar a regra da cadeia (como foi feito para o plot 2).*\n" ], "metadata": { "id": "FlHRXrdWI5Ig" } } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "nbTranslate": { "displayLangs": [ "*" ], "hotkey": "alt-t", "langInMainMenu": true, "sourceLang": "en", "targetLang": "pt", "useGoogleTranslate": true }, "colab": { "provenance": [], "include_colab_link": true } }, "nbformat": 4, "nbformat_minor": 0 }