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@rnwatanabe
Created July 12, 2019 20:33
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Tarefa 7 - ModSim\n",
"Priscila Satomi Acamine RA:11025814"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# Importando os pacotes necessários\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# Parâmetros do sistema\n",
"Fmax = 7400\n",
"Lceopt = 0.093\n",
"W = 0.63*Lceopt\n",
"a = 0.25*Fmax\n",
"b = 2.5*Lceopt\n",
"LslackSE = 0.223\n",
"LslackPE = 0.093\n",
"kpe = Fmax/(0.04*LslackPE)**2\n",
"kse = Fmax/(0.04*LslackSE)**2"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x59e8ba8>]"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Lce1 = np.linspace(0, 0.2, 100)\n",
"F0 = (1-((Lce1/Lceopt - 1)/(W/Lceopt))**2)\n",
"F0[F0<0] = 0.0\n",
"plt.plot(Lce1/Lceopt, F0)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"dt = 0.001 # [s]\n",
"# Vetor de tempo\n",
"t = np.arange(0, 3, dt) "
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"# Vetor de força\n",
"F = np.zeros_like(t)\n",
"\n",
"# Vetor de comprimento\n",
"L = np.zeros_like(t)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"# Condição inicial\n",
"Lce0 = 0.087 # [m]\n",
"Lce = Lce0"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"# Método de Euler\n",
"\n",
"for i in range(0, len(t)):\n",
" \n",
" if t[i] <= 1:\n",
" Lmt = 0.31\n",
" elif t[i] > 2:\n",
" Lmt = 0.27\n",
" else:\n",
" Lmt = 0.31 - (0.04*((t[i])-1))\n",
" \n",
" L[i] = Lmt\n",
" \n",
" Lse = Lmt - Lce\n",
" \n",
" if Lce >= LslackPE:\n",
" Fpe = kpe*(Lce - LslackPE)**2\n",
" else:\n",
" Fpe = 0 \n",
" \n",
" if Lse >= LslackSE:\n",
" Fse = kse*(Lse - LslackSE)**2\n",
" else:\n",
" Fse = 0 \n",
" \n",
" F[i] = Fse\n",
" \n",
" Fce = Fse - Fpe\n",
" F0 = Fmax*(1-((Lce - Lceopt)/W)**2)\n",
" if F0 < 0: F0 = 0\n",
" \n",
" dLcedt = b*(Fce - F0)/(a + Fce)\n",
" \n",
" Lce = Lce + dt*dLcedt\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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WXQDcASwE/glcFBE7dtZmofpgxa1DWQkXjRrE48tf5bGq9VmHY9ZsKaLOUwzvFZCOAc4GTgB6AW8DzwF/B34fERsKHWRjVVRURGVlZdZhWAu0ZfsORv1sFgd068BdFxyDVNdpOrPWSdKciKhoqFy9IxJJ9wLnk4wAxpEkkmEkJ8XbA3/NGV2YtTrtS0uYNHowc154nVlLfPWfWV3qHZFI6hER9Y7p8ymTNY9IrDG2Vb/DyVNm0a1DGdMmHedRiRWNPTIiqZ0gJHWRtE/NUlcZs9amrG0bvjG6nPmrN3D/wleyDses2cnrZLukr0p6BXgWmJMu/olvReNTh/dmYI9OTLl/Ce+8U/95RbNik+9VW/8JHBwR/SNiQLoMLGRgZs1J25I2XDymnMWvbOTv89dkHY5Zs5JvIlkGeA5SK2qfPPQAhu63F1c9sITqHe9kHY5Zs5FvIvku8JikGyRdW7MUMjCz5qZNG3Hp2HKWr3uLv871AxXMarTNs9wNwIPAfMA/xaxoffTg/Tn4gC5cM2Mp44cfQGmJ54YzyzeRVEfE5IJGYtYCSOI/TxnKl26ZzV1zVnHWiH5Zh2SWuXx/Ts1MH8veq/blv2bFZuTQnhzerxvXzljKlu07sg7HLHP5JpLPkZ4nwZf/WpGrGZWs2bCF2556MetwzDKX16GtiBhQ6EDMWpJjB3XnqAH7MHXWMj57ZD86lJVkHZJZZvK9IbFE0nhJ35A0uWYpdHBmzZUkvnnKUNZt3MrvnliRdThmmcr30NY9wLlAd2CvnMWsaI0YsA8nlPfglw8tZ9PW6qzDMctMvldt9YmIQwsaiVkL9M1ThnLa1H9xy7+eZ9Lo8oYrmLVC+Y5I7pV0yq42LmmcpMWSqiR9p479kyUtlPSspBmSDszZ91NJz6XLZ3O23yLpeUlz02X4rsZltqcM79uNMR/ajxsfXs6Gt7dnHY5ZJvJNJE8Af5H0tqQ3JW2U9GZ9FSSVAFOBU0nmMDlL0rBaxZ4BKtLRzl3A5WndjwNHAMOBo4BvSeqSU+9bETE8Xebm2Qezgpg8dghvbqnmpkeWZx2KWSbyTSRXAscAHSOiS0TsFRFdGqgzAqiKiOURsQ24DZiQWyAiZkZEzTO8ngD6pK+HAQ9FRHVEvAXMI5lYy6zZGXZAFz5+SC9u/tcKXntrW9bhmDW5fBPJUuC5aGhe3vfrDazMWV+VbtuZ84B709fzgFMldZTUAxgF9M0p+5P0cNhVktrV1Vh6A2WlpMp16zyznRXWJWPKeWtbNTc8vCzrUMyaXL6JZA0wS9J3d+Hy37qmkaszEUk6G6gArgCIiPuBf5DcAPkn4HGg5rKY7wIHAUcC+wDfrqvNiLgxIioioqJnz54NhGrWOOX77cVpw3tz62MrWLtxS9bhmDWpfBPJ88AMoIz8L/9dxftHEX2ADzwyVdIY4HvA+IjYWrM9In6SngMZS5KUlqbb10RiK/AbkkNoZpm7+ORytu8Irp/lUYkVl3zvbP/RbrQ9GyiXNABYDZxJ8qiVd0k6nOTJwuMiYm3O9hKgW0S8KulQ4FDg/nRfr4hYo2Ti7NOA53YjNrM9rn+PTnz6iD784YkXmXjiQHp17ZB1SGZNot4RiaQbJR2yk32dJH1Z0ufr2h8R1cAk4D5gEXBHRCyQdJmk8WmxK4DOwJ3ppbzT0u2lwCOSFgI3Amen7QH8QdJ8kkfa9wB+nHdvzQrs6ycPJgiue7Aq61DMmozqO3+e3qPx38AhJL/81wHtgXKgC3Az8MvcQ1LNUUVFRVRW+hmT1jR+cPdz/OmpF5n5nyPpu0/HrMMx222S5kRERUPl6h2RRMTciDiD5MT2VOARYBpwfkQcFhHXNPckYtbUJo0eTEkbce2MpVmHYtYk8jrZHhGbSK6gmg9UAb7zymwn9uvSnrOPPpD/e3oVy9dtyjocs4LL9+m/I0mumpoK/AJYIunEAsZl1qJdOHIQ7dqWcPUDHpVY67crd7afEhEnRcSJwEeBqwoXllnL1qNzO849rj/3PPsSi1/emHU4ZgWVbyIpjYjFNSsRsYTkyioz24mvnjiQzmVtuWr6kqxDMSuofBNJpaSbJI1Ml1+RTLdrZjvRrWMZXz5+AP9c8DLPrd6QdThmBZNvIrkQWAB8A7gYWAh8tVBBmbUW550wgK4dSpniUYm1YvkmkgsiYkpEnB4Rn4qIq0iSi5nVo0v7Ur560kAe/Pdann7x9azDMSuIfBPJOXVsO3cPxmHWap1zTH+6dypjyv0elVjr1NAjUs6SdA8wQNK0nGUm8GrThGjWsnVq15YLRw7i0ar1PLHc/22s9WnooY2PkTxCvgfJJcA1NgLPFioos9bm7KMP5FePLGfK/Uu4/atHkzxz1Kx1qDeRRMQLwAsksyOa2W5qX1rCpFGD+cFfF/DI0vWcOMRz5Fjrke+d7adLWippQ75ztpvZ+51xZF96d+vAldOXsGuTjZo1b/mebL+cZOKprrswZ7uZ5WjXtoRvnDyYeSvfYMaitQ1XMGsh8k0kr0TEooJGYlYETj+iD/27d2TK9CW8845HJdY67Mqd7benV3GdXrMUNDKzVqi0pA0Xjyln4Zo3+eeCl7MOx2yPyDeRdAE2A6cAn0yXTzRUSdI4SYslVUn6Th37J0taKOlZSTMkHZiz76eSnkuXz+ZsHyDpyfScze2SyvLsg1mzMP6w3gzetzNXTV/CDo9KrBXIdz6SL9WxfLm+Oum861OBU4FhwFmShtUq9gxQERGHAneRnItB0seBI4DhwFHAtyTVnJP5KXBVRJQDrwPn5dMHs+aipI24dMwQlq7dxD3zXso6HLNGy/eqrSHpiOG5dP1QSd9voNoIoCoilkfENuA2YEJugYiYGRGb09UngD7p62HAQxFRHRFvAfOAcUouvh9NknQAbgVOy6cPZs3JqR/enw/16sLVDyyhesc7WYdj1ij5Htr6FfBdYDtARDwLnNlAnd7Aypz1Vem2nTkPuDd9PQ84VVJHST2AUUBfoDvwRkRUN9SmpImSKiVVrlu3roFQzZpWmzZi8tghrHh1M39+enXW4Zg1Sr6JpGNEPFVrW3WdJd9T1627dR4QlnQ2UAFcARAR9wP/ILmz/k/A4+n75d1mRNwYERURUdGzp2/+suZnzIf25bA+XblmxlK2VXtUYi1XvolkvaRBpF/akj5N8uiU+qwiGUXU6AN84ICwpDHA90juU9lasz0ifhIRwyNiLEkCWQqsB7pJaltfm2YtgSQmnzKU1W+8ze2VKxuuYNZM5ZtILgJuAA6StBq4hIYfIz8bKE+vsiojORQ2LbeApMPTdsdHxNqc7SWSuqevDwUOBe6P5HbgmcCn06LnAH/Nsw9mzc6J5T04sv/eXPfgUrZs35F1OGa7Jd+rtpZHxBigJ3BQRBwfESsaqFMNTALuAxYBd0TEAkmXSRqfFrsC6AzcKWmupJpEUwo8ImkhcCNwds55kW8DkyVVkZwzuSnfzpo1N5L45ilDeeXNrfzhyRezDsdstyifZ/5I6gZ8EehPzoMeI+IbBYtsD6qoqIjKysqswzDbqc//+gkWv7yRh741ik7tGnoot1nTkDQnIioaKpfvoa1/kCSR+SRztdcsZrYHTB47lPWbtnHr4yuyDsVsl+X706d9REwuaCRmRewjB+7NqKE9ueGh5Zx99IF0aV+adUhmect3RPI7SV+R1EvSPjVLQSMzKzKTxw5lw9vbufnR57MOxWyX5JtItpGcGH+c9w5r+aSD2R50SJ+ufPTg/bjpked5Y/O2rMMxy1u+iWQyMDgi+kfEgHQZWMjAzIrRpWOHsGlbNTc+vDzrUMzylm8iWUDy9F8zK6CD9u/CJw89gFseW8H6TVsbrmDWDOSbSHYAcyXdIOnamqWQgZkVq4vHlLNl+w5+OWtZ1qGY5SXfq7buThczK7BBPTtz+hF9+N0TL/CVEweyX5f2WYdkVq+8EklE3FroQMzsPRefXM7dz6xm6swqLpvw4azDMatXvYe2JN2R/jk/ncXwfUvThGhWfPru05EzjuzLn556kVWv+/SkNW8NnSO5OP3zE7w3xW7uYmYFMmnUYIS47sGqrEMxq1e9iSQi1qRT5t4UES/UXpooRrOidEC3DnzuqH7cOWcVK9a/lXU4ZjvV4FVbEbED2CypaxPEY2Y5vjZqEKUl4toZS7MOxWyn8r38dwswX9JNvvzXrOnsu1d7zjmmP3+Zu5qqtRuzDsesTvkmkr8DPwAexk//NWtSXz1pEB1LS7jqAY9KrHnK+/LfdJbDg0im210cEX4YkFkT2KdTGV8+fgA/f7CKi0a+ybADumQdktn75DUikfQxYBlwLXAdUCXp1DzqjZO0WFKVpO/UsX+ypIXp5cQzJB2Ys+9ySQskLUoPpSndPittc2667JtvZ81aqvNPGEiX9m2ZMn1J1qGYfUC+h7amAKMiYmREnASMAq6qr0J6tddU4FRgGHCWpGG1ij0DVETEocBdwOVp3WOB40jmav8wcCRwUk69z0fE8HRZi1kr17VDKV85YSAPLHqFeSvfyDocs/fJN5GsjYjci9mXAw19gY8AqtL53rcBtwETcgtExMyIqLnb6gmgT80uoD1QBrQjmcP9lTxjNWuVvnT8APbuWMqVHpVYM5P3038l/UPSuZLOAe4BZks6XdLpO6nTG1iZs74q3bYz5wH3AkTE48BMYE263BcRi3LK/iY9rPWDmkNetUmaKKlSUuW6devy6qRZc9a5XVsuOGkQDy9Zx+wVr2Udjtm78k0k7UlGBCcBI4F1wD4kd7d/Yid16vqCjzoLSmcDFSSTZyFpMPAhkhFKb2C0pBPT4p+PiEOAE9LlC3W1GRE3RkRFRFT07Nmzof6ZtQhfPKY/PTq348r7F2cditm78r1q60u70fYqoG/Oeh/gpdqFJI0BvgecFBE1EzB8CngiIjalZe4FjgYejojVaUwbJf2R5BDab3cjPrMWp0NZCZNGDeKH9yzksar1HDu4R9YhmeV91dYASVMk/VnStJqlgWqzgfK0bhlwJvC+OpIOB24Axtc6af4icJKktpJKSUZCi9L1HmndUpLR0HP59MGstThzRD96dW3Pz+5fTESdg3yzJrUr85HcRHJu5J18KkREtaRJwH1ACXBzRCyQdBlQGRHTSA5ldQbuTE91vBgR40mu4BoNzCc5HPbPiLhHUifgvjSJlAAPAL/Ksw9mrUL70hK+Prqc//7LfGYtXseog3wFvGVL+fyikfRkRBzVBPEUREVFRVRWVmYdhtkes33HO4y+chZdO5Ryz6Tj2ck1J2aNImlORFQ0VC7fk+3XSPpfScdIOqJmaWSMZrabSkvacPHJQ3hu9Zvct8BXxlu28j20dQjJ1VGjee/QVqTrZpaB04YfwC9mVnHV9CWcMmw/2rTxqMSyke+I5FPAwIg4KSJGpYuTiFmG2pa04ZKxQ1j8ykb+Nn9N1uFYEcs3kcwDuhUyEDPbdZ84pBdD99uLqx9YQvWOvK6DMdvj8k0k+wH/lnTfLlz+a2YF1qaNuHTsEJave4u7537gNi2zJpHvOZL/LWgUZrbbPnrwfny4dxeumbGECcMPoLQk39+HZntGXv/iIuIh4N/AXumyKN1mZhmTxDfHDmXla29zZ+WqrMOxIpTvne1nAE8BnwHOAJ6U9OlCBmZm+Rs5tCdH9OvGzx9cypbtO7IOx4pMvmPg7wFHRsQ5EfFFkudb/aBwYZnZrpDEN08ZypoNW7jtqRezDseKTL6JpE2tZ2G9ugt1zawJHDuoO0cP3IfrZi7j7W0elVjTyTcZ/DO9YutcSecCfwf+UbiwzGxX1YxK1m/ayu+eWJF1OFZE6k0kkgZLOi4ivkXylN5DgcOAx4EbmyA+M9sFR/bfhxOH9OT6WcvYtLU663CsSDQ0Irka2AgQEX+OiMkRcSnJaOTqQgdnZrvum2OH8Prm7dzyr+ezDsWKREOJpH9EPFt7Y0RUAv0LEpGZNcphfbsx5kP7ccPDy9mweXvW4VgRaCiRtK9nX4c9GYiZ7TmTxw5h45Zqfv3o8qxDsSLQUCKZLekrtTdKOg+Y01DjksZJWiypStJ36tg/WdJCSc9KmiHpwJx9l0taIGmRpGuVTrgg6SOS5qdtvrtduhsoAAAP9UlEQVTdzN4z7IAufPyQXtz86PO89ta2rMOxVq6hRHIJ8CVJsyRdmS4PAecDF9dXUVIJMBU4FRgGnCVpWK1izwAVEXEoyayIl6d1jwWOIzm5/2HgSJLpdgGuByYC5ekyLp+OmhWbS8eW8/b2Hdzw0LKsQ7FWrt5EEhGvRMSxwI+AFenyo4g4JiJebqDtEUBVRCyPiG3AbcCEWu3PjIjN6eoTQJ+aXSSH1cqAdkAp8IqkXkCXiHg8kqkdfwuclldPzYrM4H33YsLw3tz6+ArWbtySdTjWiuX7rK2ZEfHzdHkwz7Z7Aytz1lel23bmPODe9P0eB2YCa9LlvohYlNbPfZjQTtuUNFFSpaTKdevW5RmyWety8cnlbN8R/GKmRyVWOIW8O72ucxd1ThAv6WygArgiXR8MfIhkhNIbGC3pxF1pMyJujIiKiKjo2bPnboRv1vL179GJz3ykD3988kVeeuPtrMOxVqqQiWQV0DdnvQ/wgQkTJI0heZbX+IjYmm7+FPBERGyKiE0kI5Wj0zb75FSvs00ze8+k0YMJgutmVmUdirVShUwks4FySQMklQFnAu+bDEvS4SR3zI+v9SyvF4GTJLWVVEpyon1RRKwBNko6Or1a64vAXwvYB7MWr8/eHTlrRD/umL2Sla9tbriC2S4qWCKJiGpgEnAfsAi4IyIWSLpM0vi02BVAZ+BOSXNzZl28C1gGzCeZ5ndeRNyT7rsQ+DVQlZa5t1B9MGstLho1mJI24poZS7MOxVohJRc/tW4VFRVRWVmZdRhmmfrx3xZy87+eZ/rkkxjUs3PW4VgLIGlORFQ0VM6PgjcrEheMHET70hKuecCjEtuznEjMikSPzu0499j+3PPsSyx+eWPW4Vgr4kRiVkQmnjiQzmVtuWr6kqxDsVbEicSsiHTrWMZ5Jwzgnwte5rnVG7IOx1oJJxKzIvPl4wfQrWMpUzwqsT3EicSsyHRpX8rEEwfy4L/XMueF17MOx1oBJxKzInTusf3p0bmMKdMXZx2KtQJOJGZFqGNZWy44aRD/qnqVx5e9mnU41sI5kZgVqbOPPpD9urRjyvTFFMONyVY4TiRmRap9aQmTRg1m9orXeWTp+qzDsRbMicSsiJ1xZF96d+vAlfd7VGK7z4nErIi1a1vCxSeXM2/VBmYsWttwBbM6OJGYFbnTj+hN/+4duXL6Et55x6MS23VOJGZFrm1JGy4ZM4RFa97knwtezjoca4GcSMyMTx52AOX7dmbK9CXs8KjEdpETiZlR0kZcOnYIVWs3MW3e6qzDsRamoIlE0jhJiyVVSfpOHfsnS1oo6VlJMyQdmG4flc6YWLNskXRauu8WSc/n7BteyD6YFYtxB+/Ph3p14ZoHlrJ9xztZh2MtSMESiaQSYCpwKjAMOEvSsFrFngEqIuJQkul1LweIiJkRMTwihgOjgc3A/Tn1vlWzPyLmFqoPZsWkTRvxzbFDWPHqZv789Kqsw7EWpJAjkhFAVUQsj4htwG3AhNwCacLYnK4+AfSpo51PA/fmlDOzAjn5Q/tyWN9uXDujiq3VO7IOx1qIQiaS3sDKnPVV6badOQ+4t47tZwJ/qrXtJ+nhsKsktaurMUkTJVVKqly3bt2uxG1WtKRkVLL6jbe5Y/bKhiuYUdhEojq21Xk5iKSzgQrgilrbewGHAPflbP4ucBBwJLAP8O262oyIGyOiIiIqevbsuevRmxWpE8p7MKL/Plw3s4ot2z0qsYYVMpGsAvrmrPcBXqpdSNIY4HvA+IjYWmv3GcBfImJ7zYaIWBOJrcBvSA6hmdkeIonJpwzhlTe38vsnXsg6HGsBCplIZgPlkgZIKiM5RDUtt4Ckw4EbSJJIXc9nOItah7XSUQqSBJwGPFeA2M2K2tEDu3P84B5cP2sZb22tzjoca+YKlkgiohqYRHJYahFwR0QskHSZpPFpsSuAzsCd6aW87yYaSf1JRjQP1Wr6D5LmA/OBHsCPC9UHs2I2+ZQhvPrWNm59fEXWoVgzp2J44mdFRUVUVlZmHYZZi/PlW2Yz54XXeeTbo+jSvjTrcKyJSZoTERUNlfOd7Wa2U5PHDmHD29u5+dHnsw7FmjEnEjPbqQ/37sq4g/fnpkee543N27IOx5opJxIzq9elY4ewaVs1Nz68POtQrJlyIjGzeg3dfy8+eegB/OZfK1i/qfYV+mZOJGaWh0vGlLO1egfXz1qWdSjWDDmRmFmDBvbszOlH9OH3T7zAyxu2ZB2ONTNOJGaWl4tPLmfHO8HUmVVZh2LNjBOJmeWl7z4dOePIvtw2+0VWve6Hcdt7nEjMLG9fHz0YSfx8hkcl9h4nEjPLW6+uHfj8Uf246+lVrFj/VtbhWDPhRGJmu+TCkYMoLRHXzFiadSjWTDiRmNku2Xev9pxzbH/unruapa9szDocawacSMxsl331xEF0LC3h6gc8KjEnEjPbDft0KuO84wfw9/lrWPDShqzDsYw5kZjZbjnvhIF0ad+Wq6Z7VFLsnEjMbLd07VDKxBMH8sCiV5i78o2sw7EMFTSRSBonabGkKknfqWP/ZEkLJT0raYakA9Pto9IZE2uWLZJOS/cNkPSkpKWSbk+n8TWzDJx73AD27ljKlOlLsg7FMlSwRCKpBJgKnAoMA86SNKxWsWeAiog4FLgLuBwgImZGxPCIGA6MBjYD96d1fgpcFRHlwOvAeYXqg5nVr3O7tlw4chAPL1nH7BWvZR2OZaRtAdseAVRFxHIASbcBE4CFNQUiYmZO+SeAs+to59PAvRGxWZJIEsvn0n23Aj8Ert/j0ZtZXr5wdH9+9cjzTPxtJT06t8s6HKvlpnOOpF/3jgV9j0Imkt7Aypz1VcBR9ZQ/D7i3ju1nAlPS192BNyKiOqfN3nU1JmkiMBGgX79++UdtZrukQ1kJP/2PQ7hrzqqsQ7E6lLUt/KnwQiYS1bEt6iwonQ1UACfV2t4LOAS4b1fbjIgbgRsBKioq6ixjZnvG6IP2Y/RB+2UdhmWkkIlkFdA3Z70P8FLtQpLGAN8DToqI2tOvnQH8JSK2p+vrgW6S2qajkjrbNDOzplPIMc9soDy9yqqM5BDVtNwCkg4HbgDGR8TaOto4C/hTzUpEBDCT5LwJwDnAXwsQu5mZ5algiSQdMUwiOSy1CLgjIhZIukzS+LTYFUBn4M70Mt93E42k/iQjmodqNf1tYLKkKpJzJjcVqg9mZtYwJT/yW7eKioqorKzMOgwzsxZF0pyIqGionO9sNzOzRnEiMTOzRnEiMTOzRnEiMTOzRimKk+2S1gEv7Gb1HiT3r7QG7kvz01r6Ae5Lc9WYvhwYET0bKlQUiaQxJFXmc9VCS+C+ND+tpR/gvjRXTdEXH9oyM7NGcSIxM7NGcSJp2I1ZB7AHuS/NT2vpB7gvzVXB++JzJGZm1igekZiZWaM4kZiZWaM4kaQkjZO0WFKVpO/Usb+dpNvT/U+mTydudvLox7mS1qVPW54r6fws4syHpJslrZX03E72S9K1aV+flXREU8eYjzz6MVLShpzP5H+aOsZ8SeoraaakRZIWSLq4jjIt5XPJpy/N/rOR1F7SU5Lmpf34UR1lCvv9FRFFvwAlwDJgIFAGzAOG1SrzNeCX6eszgduzjns3+3EucF3WsebZnxOBI4DndrL/YyTTMws4Gngy65h3sx8jgb9lHWeefekFHJG+3gtYUse/sZbyueTTl2b/2aR/z53T16XAk8DRtcoU9PvLI5LECKAqIpZHxDbgNmBCrTITgFvT13cBJ0uqa+rfLOXTjxYjIh4GXqunyATgt5F4gmT2zF5NE13+8uhHixERayLi6fT1RpK5hnrXKtZSPpd8+tLspX/Pm9LV0nSpfRVVQb+/nEgSvYGVOeur+OA/qHfLRDJp1waSibWak3z6AfAf6SGHuyT1rWN/S5Fvf1uCY9JDE/dKOjjrYPKRHh45nOQXcK4W97nU0xdoAZ+NpBJJc4G1wPSI2OlnUojvLyeSRF2ZuXZGz6dM1vKJ8R6gf0QcCjzAe79SWqKW8Jnk42mSZxodBvwcuDvjeBokqTPwf8AlEfFm7d11VGm2n0sDfWkRn01E7IiI4UAfYISkD9cqUtDPxIkksYpkWt8afYCXdlZGUlugK83vcEWD/YiIVyNia7r6K+AjTRRbIeTzuTV7EfFmzaGJiPgHUCqpR8Zh7ZSkUpIv3j9ExJ/rKNJiPpeG+tLSPpuIeAOYBYyrtaug319OJInZQLmkAZLKSE5GTatVZhpwTvr608CDkZ65akYa7EetY9XjSY4Lt1TTgC+mVwkdDWyIiDVZB7WrJO1fc7xa0giS/5evZhtV3dI4bwIWRcSUnRRrEZ9LPn1pCZ+NpJ6SuqWvOwBjgH/XKlbQ76+2e6qhliwiqiVNAu4jufLp5ohYIOkyoDIippH8g/udpCqSTH5mdhHXLc9+fEPSeKCapB/nZhZwAyT9ieSqmR6SVgH/S3IikYj4JfAPkiuEqoDNwJeyibR+efTj08CFkqqBt4Ezm+GPlBrHAV8A5qfH5AH+G+gHLetzIb++tITPphdwq6QSkkR3R0T8rSm/v/yIFDMzaxQf2jIzs0ZxIjEzs0ZxIjEzs0ZxIjEzs0ZxIjEzs0ZxIjFrgKTuOU9/fVnS6pz1siaOpZOkWZJ2+n9X0gxJXZsyLituvvzXbBdI+iGwKSJ+ltH7XwxUR8TUesqcB/SIiJ82XWRWzDwiMWsESeekc0HMlfQLSW0ktZX0hqQrJD0t6T5JR0l6SNJySR9L654v6S/p/sWSvp/T7n9Jei5dvp7zlp8H/pqW6S3p0fS9n5N0bFrmr8DnmurvwMyJxGw3pQ/G+xRwbPrAvLa8d8dwV+D+iDgC2Ab8EDgZ+AxwWU4zI9I6RwCfkzQ8fRTH59N9xwBfk3SopPZAn4hYldY9G7gnfe/DgGcBImI9sFfNYzPMCs2PSDHbfWOAI4HK9HFMHXjv8elvR8T09PV8kudNVUuaD/TPaeO+iHgdQNLdwPFAO+D/ImJzre1v8P4H7c0GbkgTzN0RMS9n3zqSR2e8sYf6arZTHpGY7T6RPM9seLoMjYj/l+7bllPuHWBrzuvcH3C1T1IGdT/yG5JnPbV/t2DEgyTP8FoD/EHS53PKtk/LmxWcE4nZ7nsAOKPmseLp1V39drGNUyR1k9SRZBa7fwEPA5+S1CGdK2MC8EhErAPa11wpJulA4OWIuBG4hWRiJtIrunrw/smlzArGh7bMdlNEzJf0I+CB9Mt7O3ABuzb3xqPAH4FBwO8iYi68+8Tg2WmZ6yNifvp6BnAsyZwTJwOTJW0HNpGcM4Hk3MqjEbFjd/tmtit8+a9ZRiSdD3w4Ii7ZhTpHAl+LiJ0+ml3SVJJHiT+0B8I0a5APbZm1IBExG3i0vhsSgWecRKwpeURiZmaN4hGJmZk1ihOJmZk1ihOJmZk1ihOJmZk1ihOJmZk1yv8P6iXBFZz1vSwAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Gráfico do Lmt\n",
"plt.figure()\n",
"plt.plot(t, L)\n",
"plt.xlabel('Tempo(s)')\n",
"plt.ylabel('Comprimento(mm)')\n",
"plt.title('Comprimento de L')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Gráfico da Força\n",
"plt.figure()\n",
"plt.plot(t, F)\n",
"plt.xlabel('Tempo(s)')\n",
"plt.ylabel('Força(N)')\n",
"plt.title('Gráfico da Força')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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