Matematisk pendul -l\303\270st med "energimetoden" inspireret af undervisningen p\303\245 DTUTUZOV3RLVWI8b2I8Uj1NRExDZE5OWl5rOlBVPlQ6WG9HXXhPQ0JgTlxcQE5kXFxRZ3F4aGF4ZVB3dmFzcXF5X0BuXFxMTj1AT0JBTnJMTmRsc1Rtc21BVVBYVExVdGNgbkltak1wd251bW9tVFhcXG1BZXlecXFJUXN5PHR3cHdvcHdoaXBsQU5XcFNfZFlMZXRgZGxETVNndHZzbU1ESU1WSFg+XFxSP11MU2RUWkF4c0BRVUFVQGVKTmhrdVVwWXlvVFVZW0BSS110SWhzWHltd2VZaXh3b2l3TEF1PkFKOj52Z0h3RGk+Pl5KSDo8S15LWjxsO0JCQjo7RkpHWjo7O1JaU1o6PDtiOm06PT47QjtfWzpOOkI8Q106XjpCPktASzo8PDxKQlxcRjw+Pj4+Wjo8Ozw8ajpLOls6TjpSWkI6QzpEOj47QjtKQlxcRlxcOj4+PlpKPlM+QkJCQjo7Pjw+Plo7XFw6PDtiOmo6SzpMOk46QjxKPFpKPlM+O0JCQjpbQmxCSkpKSjo8Qj5CQjo9Pjs+PHJxaFJtRVtiYWtkWG9HcWtWRmB1bmhGYXdrWXZQbl1CVm1YRltNTlxcRlFwbGBzQF9ralZjRVdgRVBrXFxRXTw+XkpIWjpZXXNfeEJhd2RpZG1oeXVpc2RRd1hneXNoZXVQbT9hcm52amxgeG5XcHFvdWtWbXRmdGZGX0NYd0I+ajpvOlVpQl1TblNzR2lXSFNVaUtmZE11b1dXR3loVXloR3F3VklIZT1XalNldXN0ZndUaWtnWTtCPENNclVWZGBZY1B3b0RWPFlreWxvZE1Vc0VxU0lrTWxWdXhYVWhMT0RtV0xRTmFxPkhtUXhWUGluRXR0Sk5aU0JpbXg6dXRuQVNRWWlxR1VZb0lpc3lWX3ROcXZfS3NEUVNtZ2dVZXNoXXVqU0dmW0hFSXNrU3dLWWJlPUNaO2lSaVZDXFxvc1BLUGBtZm1QXj1TbT1QTVFQYEVVU0hVZ2VPUXFaPEY9Y0VgO1RDVWNHZ1doSUZNcXdGUXl0bWdFXFw6W1hSY2JqT2VUb3ZkP2VAcVViRWdsS2VAcUtCXFxmWlh2YndqX0diO1d4TGdmVl9tU3dxeGdzXUFAO0Nwa1V1SUJCP1dHZ2NHaURrY2N2P3Vtd3JmQXhbcXZXdWRTSXVgVXJAR2VvVXdAaUg8QFJAbnVSR2djSHVZcHlOYV1ycGVOPnNYYGFjb111R2RMT2ZQR2Rbb2BqP25TYWtTbmY9blpqTng8UlpTSmdRUl1gT2xZeFlleXNMS1hNV2J5bXBkc2ZtdGZwdnNZVndUWWxldzo8TEJBSlpoVWI9UGZwTm9Zd0ZQc1FkSmtkd2Rga0l4eUVJdENleXVZdHVsWjtgO1BTQXVOR0VtXFxtUHhdeUVYSlNQeT5hcF1QVGlFVVxcYEo6PU49RnJyP251eXFtaXJuPnlPYkpdclJZO0tCUzxaPko6PlxcQkU6XFw6Pl5KRDo7Qj5LQFtpP1tzW1NCSklHY015eG9jOk1Fdjtpc3lzdFtHVjw8O3Q7T2lxdVdIU1Z0R2pKdXJMaD47YjptSjo8TmxIcF5FS1pcXHdObVRQTVVDRVNDaHV2SFlNUU1VVE1nVFBtVHRMUXRMYW9xcEtmYFo+TkBLYmFPaXRPdXBhd1NZVmV1dGhnaGV3VGlHVUdlU21ZUlJdU0ZZREVxc1g7VkV5ZGlzaHNTWGBBVWlvVXc/aVI9QkJbVjpocU9dVE49dWl5WXlZWXVpdGlwdFJFV2N1UWVJdW1FbD9xcmBFVVFwT1ddd0hpbVVsWFtRcltVUXhdeXlZcGV5dGlYdWF0bXZNVkNES0NcXFVuPlteQ253ZmdZdXFtSD9HaGdrVFBtSD1RSGxrVFRdVVZBSEVPY2RtZz5ndFF5VFVlVE9hd2A/ZnBvc3hjeW51Zl9zRnFZaElzSXZ1ZUVvQlpbV0phdEk7Rl5pRE5bRFJRdW9XeWZJcj1HaFBnZXdZVEU9U1JzeG5bY0NdVE5dZz95cklHaGZfZ1lfSD9TaENtaGhldTtTSXdNeW5zREhMSlM+Z2l2YkhgaV13ZkhhdFJPaGxRXmVJdF14eUV3YWl4YklgZGVZdGFHbF95dnlOcHdYaXFJaFtFPktQSnFNWGRRdF1WUXFvV2VwdXV4dEBVRl1TUFVrWXh1ZXh0alRvY0h3ZWVKP3R2ZnFzV1hRVj1iQkpyVVRfaXZfcVRUTVllSHdJZVFnWFVxYHJQdFFZVXNRaFF1bW5TRVNDaVl1UFhfUUtRPEw6RDpzV2RXWXFxd1BZZkF1Q2VdV3Zdd3FvZG5rSHA7dV15ck9xRE1TRF9FWGtFWFY9UjpbQmw8eGBQdl1ZdmdUTl09Uk09UHVdVm9lWHFYVXZheXRQcVVtVFl1VWZVakF0S2pIaj10SmxFSjs8TEI/clVQa0RQa2xgbVZgXWV5dGlgc0RZc1VvZ055cXF3Z0loXl5eZW9IcF13clJfZ2ZfX1E+PD1GPVZydXZ3Rk9wY1l0QWBgP05waWZ3aGl1Z290UkF5XnlveHZiaVlfZVZ1X2diP3lxb3hyS3dgZk5haE5rRXZaWl5pWF9peGFxQ3ZsOz5iYlZkaT5lYG9mQGh1eXhpV3FjWXB1YmdkT3dwVFBaUndcXEVQa0RIcHRReVRWb2JAYWdnXnFweWJ3YGhveUxRZ1RuY1NXYkZna3dGd3RBdWxOdGxeX3dmXldYW0I+Xl5JYGN4XTo/ZUJpc1duZ3lWeVN5dVRPY0RRXVVBcWt3bFdXcXBocGNea2M/YWZ3XFxlUXVvSW4/eXhjSHA+YXhVb2h5cHA7UWdYdmRVcW93WHFmWGlxcHdQZnl3QWdVVmFcXF9fUT5cXDo/Y11QYkA+XmZfXmF2eGtgbVZIbnBOZj5BYmVgb3lgZz92dHFOdV1Bd0VxYF1vc0pXeUN5aXVhcmxxXkZgcEFoaE9uaHVxeGdXb2Vob21YZV94cGZQcHRQdGxWYGxmX19GYT9YW0I+Xl5HZFtWWkpuZExRdExhb2l3dXhwaGRAeF5oZ3hecFNRXVVWXWd2Zk5va0dZZWp2dGR3XU9RZWlAeVhveHJJdF1XYVU/aFBRc2l5bFVxdmdZbWdYZXFwZ3BZbElvaVxcR3E9WGhzQGo6Pjs8V2lkS0lNTWZIdmtVam9sUHdZbnlUU2lxVXdoV3BhbFNxeHJJeF1VeWZJeGFtWFtRcj9UT2V0T21oS1VtUFJ1a2hpUWZ5UllkeUJxamB1S19Rdjs8S3NcXHdsYEpKSW9eXFx4SD1wc1V0YUl1QXR1c0FyQHRLU1xcd09cXHB1ZFZxXVdncXJvcHhTeWxZSHVPUW5lYFVePEo+Qj5TVUxNUkxnR1ZnaUpxdVlleXhnVklbc3BBVFBNWXVfdHhfVXlpZmdHeWRlY09jZFBDWEs/Qko7czo7RlJRZE1TZGdFc1ZpRnBpZU93dWtfcztDZVBBdFJBVj95aERnd0VnaFk9dVlzaXhZZk9vdWdjdlxcQ0JaO2Q7bnRpeGN5VmVwQGZTaG9YR3BUUXRMWXR2UGRwV25icWpnSHltUV1VV3FfZ29XWXF5d2tFYFo6PGdmcGlTb2dERXdUUlFzX1lHZ2NmeU1jT3l0UVlVW2l0PHV3YVN1cldWXWdJZl9ZQmlSPEBSQDxKO3F0eXhVeVVVd2BYb2hvUm1wPFFsTU1sZ0lzTXhOcG15XFxJWXVpd1F0cW9ob3V1cFRlV2dlT1FEWzxGPUNyUG9lVG9XWWlZaVlpcF9ZY1FYRU1TSE14S0FFc3lWbWl3TWlIWU91aFdidV9JXkdCOkNiRlxcSlNtUnlhS3VBVj95SnBgV2NRUEU9U0Q9cHR4Um9tWHZheGtVeU95dnlQcHd1UnFJVT1VUj10TEM8clVFclo9VTpETF89UnRBSnVBVz95Unhkc3lZd0d5VVVlVj9lbldsUXA9dXR4WGlxd2F1VUhVbXJka0VgSjpaZ1ZfbVZzeF5lc0luT2l0T0l1UGh3VV9vdFBvVHF4V251YXliZmZicVdrcEhzXW9ebUdMWzplZGhnVXVPVVZNU1ZnRklzU3BJeVxcZWl0aXhseXhvb1RRb0dXXVdqbXhaVXlqZXRBb2lmRWltdXhIVWdkZFZ1eEtmcXhkRFVuXVRuaGtZZFBYWEtHPGo6bVpYZ1xcQlFcXExZXFxmZmdWT21PeWBOWWV2b2J2V208Rm0+Z2I/R3VqSV49aWFOaGFkWGleV3lIXndteGpJdl1UcWt3VmF2UGRweWhZeXl1Vl1NWGFAWGtHPm5db11RQXE+YmpVZkRzVHE/ZWhtRE0/RF1lSUxLWVJdWEZdaHl3Z2dfRHZPeEB3dlN5QmVvSWpHU01zRnN5dWl5VFZ5aGdXSXFPdWl3dHZRdURrR1A7WGtHQm49Q2RbVjpLRlR1Y1hjSWZdVVhBSVlNaW5pVVF3cklXeT5zeUdVdXBDVUlvV3dbd0F5eV95clBXSGJzYkVjSjtgO2FEVVlIUHFGSXdlZkliRlVzUXdWSGFla1dpcXF3VFF5Z1N3Z3dScXFtQXRdO2hbSFFdRmlqPD5CPGJEWGtHWHBjWWxhWHVdeGJJYGliX3dTWWhhZ3dwaW1VcXhPcWppYGFOaGl5aXlpWWVQT2lQdlxcRD5iSj90PW9aOnZ5UV9pVl9xR3FtcFZ1WHlld3FxR1ZddF5zVFZteElfaGZfcHhhaFh5XWh5W2d3WV5vXmBwPlhrPjo9UEZ4U25IeW10dlVZeWVwdXFIUj10SnNBVUdYbV90UGdZc291VVRxamdYTWZJcj14SlZdXkJKQmZ4S2d4YEdfYGdxQHB4bHBtQ2dhd15sV1Fxb1dzcHhnVXFndXF4b3ZrQUU6Pzo9dFJBdWJ1SER5V1JxZG1XVWZBWEtJVmVRZFRpckxtUmA/VVxcdWk+VVNmSWVidXhpcXVxZ0dVTWV4a1hyQWhPdVRRVVg7QUJuV0VUT3k7W2JXY0U8a1VzdWZMUXNoW2RTWWRAd0ZQZXR5T3NZeXRQSXZqd3NkR1lWVVZRd3dWbWh3eWRwWXVTT2Zta1RTdVRjZWl0dXhsR0RNcVJSTXRiX0Z1R1hkcWJPZ3VoU2hldXRoR3VgaXNVZ3lmWXNDWWRhU1VGXVNGc0lKO0I+XmJYUHl0UWl1P2R2QXJEb2tRQHlsT2Y/QWxEVmdieGl3QGJwQXdDWV5lRmlKT2ZhdmdYYHBNd2BJR2VrR2lraHRPeXRTT2RpYF5VVm1zbnRgd3ZGcXBuQW1uV2FMcGk+WWpScGxodl9Zb3FmV21wZmdsSV1gV3ZBeWtxSWpsREo7S0JAUUlYV1hUVWdZalR1dUNEeV5weEN4cWdVVGJYV2J4cFVpTHFod0ZFeFNUc2lsc3FYb191VGdJVkdZUllAeVlwbUpwV21NWGBBdUZJVm1kT11EUD1RcUF1WHFwVW1VWXM9TE49T3VYWGFxa1d4UXltdXBsV1ZBd09QcEtZbkFVeUtdUzo8UlpUWmdgZFBjU21ZQ21pX3lEX1l5bGN2d1FldXFmdnNEUVNEYVVidXFDcEdFPXVWUmF0O1lUZ3dVaXFZSXV5V29pd1V5VGF5c1l4Z0lzTXdGWHlScHV3WGlJRXlzSXloYkF3YnVrQG1rVkRzP2hKOj1OPXZfTXd4XnBzaHFkWGlwVXdbaEd1V3hqcV93dGlxZXFoX3F3T1ZxUWdoSVlpSlFmdXhyVG9kWWBfVUBsb0ZyQHFbUlZnU2lpbGhfeHhmdnlld2dteGd5dElpYlZ0akF1V1ZhcD91d1l5cWl3TklvTW9dQmFwZkdhZj91am5fcGI6bUJaS1hjR2dZZXlaTUNSdWNleUVVZXddUVVJQ1ZkeUNFW0JrT3hkUVhlP2djP2hkeVJPcXV1bURNaUdAcUJvaUVeVXZtb3JVQWVGR0h4eXY+cVVDb3Q/cVV4PVRzdXl4aXlnRXY8aWJYS3NwYXdTWVZPY0RPa1hmQXVrc2dOZ2dWRWlMcUJJa3ZCZ0Y6W0JsO0JLO3dMaXdFbXhhV3Z5TWhUcWJUdWdAR2d5W1NbYWdcXG9oPFlSUm9YRm1JY3dZXFxpeVtlVXVfWG9BRmBvdWpHdFNTZmddU2BBRVVbdWk9aG9Jd095cnlrdExjWUdfY0ZfQ1VdaGJFZEFPaHdZeXFZVV9lVl9nRXNLWD5ZUlNReF9Zc2c9djpJYnZBVDo7REJBQj5tRGdzSXhDSXlhcmRpeElVVFJTVGJNQz53Rnl5ZmNpV1xcXVdcXHdiamN1bFdkbWd5cDtmSUFCRW13T19XS2VVVXF0SndnV1RwbFBwWHBqbGRzX1R0akB1PXVqSER5TGl2bGhWRWFXOkFqO1xceVo/XkpEdHNIP09GV2FEOmFodkFnRDtVUUF3aG9EV2NEZ2V1XU9pVV1XST9VWWt2VHlJeHdpX214Q2F4WmtkTFlJP1FkXVFkd1tib2F3WFl4R3FFdlNmXWdZc01Ya1F2P3FFRGFoZkVnXWVkbkNzWXVFVU1pbkVnUU10OjtiOm1KYWhsSllQO1lyUHBKdFBXY0lYYEFxU3BMWVRNaUlSZnhWcXBteGBPY3BWd2FuUmFOWWlPU1lhWHlnbj5hcGliTmFzWVhsTVhmRW9sZkZ4Sm9obGF2Q3dnbnlkaUdtQEFmYl5sY3h2Rj5aQl5mOk5hX2ZqaGB0cmFkaT92WUBtd0Z0UHdrVWdnd1hmdVdlSXBnd15fdFhnQWlhbkhncl5vQG9ldm5pdkF1ZFF3ZGFvWkBuOnliXFxfd1RpcEVZX19Pb1pobl5gbmpZWj0+YlpWWkpJYW9Xa2RxdnFmZEVhdE54b0RodFVBbl1ZbG5eXVBnZGxmdWheZXJAZl9nZl9vYVRWYltgY3dwZkNJc0NheTpBWkpKSlxcU2tIcGtwUFtNcj50b05IV1xceHFIeFRMYVJ5aVdVcXBzVW55UWo/VEtmRFBrRGxFZEpaaWpcXHBZWGFqRUFackZnZl9nbmR2X3Vhb3Zhd2ZhV3ViR1RdX2k7cWl3V1k+UXVEZUR0Y1NueXdTWWhhd2JrY3hNZ1RPZVRTaXV1d1h3RVdtY0dnY3NZUWphSVRbVEpKbFlpYE5dUG5mXXNSSFBQSG1TSHd5dVNETVNERG1tYE51dXhoaVdNbW5GRXhqQHF4ZXl0VXF4ZXl0aGxOYGxScXRnWFV3XFxrR0Fta1RydGV4ZGlySURMOnlwWXR0YkBsO25nbnZkRldjPlB3RVF0R3dpSF5zWFZbP05bWE9hYEdjRWdscXhnWXF4az9dVFhkYFBvWF9lVl9tX3BuYFB5QUVaO1xcO19uQHdpZ3FvTldkeWlvVXdwdkFrX2Z1Tm5zTE5cXExeYU5oakRnZElSWlNCOm9TRWVpXk1nTkdndHVUVE1VdGFISkd3YGdWUGVCcHdoV3l4QDtGbjt0PW1CWktWV1lndHdWQXVnWGNobWNyYV1XTk15YlNlTVdIQXFFUHFJbmdJUXN4cll5bz1Dc11VRl1lRz9TVUNWTXliRnVoZnFJU2lXSDtUVE1UV3dIaW1laWFpVlFoX1VjcVN5WWdJdW10cTx0R1VNTDxLXz9cXEJFS3NSdV9ISXlkWHdoeVtZbXlCVUFYdFViWUtSeHlYbW95SHlGeHlneWNpWHFZa1d3UWtUSl1VWnlCT1dXOmNnSGlpVkdJZm1md11IY1lGVUdJbm1mWU9CSnFEVElZc3NZeGFZaV14UVVYeW9CQXFleGNZVFl5QmFERHFiSXNFSHlDPztGSkZsP3dqS3hpdHh5TVd5R0lqWUFlZ1l2VFdlVHhwTnFeSV5tZmdmT2dmcFh2VnFbdUZpXWFuR053dT5zYHFbWVh3YVdmaGlxcnh0UGFdU1dmcVFfaUlpUlZteD5pdFdtZVBlVG9tVj9xakduSUlfTUFyUmdrPkFheF95cnhqbGZ4U2hbU05gPnhdRj5cXDtBd1tWWkpGZGROZ2Red0VZdllPdWl2eHhRdGRvXU9BdXFvcnl3cnhPYWV5bnBuaDpBZXVgaWFRcGdYYW9wc0RXX0RnZ1NBd19veHl2XFx4eWNVP2x1QHJMT3ZNX3d0R3VvV2F4V3hyaHJvd2ttYHFGYWFlaV1NWXFHeXlnZ2t1QGRvYGNBX19jSHR5UHBsUHRhTnlRYXROQWlaV2RZR106QHM+V3Y8PmpCUGRyd3BKWW9ad3BYXnVsaXZBeW1GYXlDaGNTXmE/UWlvQXdfaXRsZmpuZmQ7cVpuSV1aR2V3T3B2R3FsZ3ZSaWxwYGdGUWBlUXRueXN4WHN1YXdOaXNNb3RKQXVKcXZ5cXBUWHlvPnNQZ2xsZnNkVmQ6V3RyXms9d2pIRnVAaWtVZmlgRz0/UkA7QltFZltHZjtRY0VXY2dZZWltaWtZdUdZZXFjeXdlR3NNVHlhcmhrdXg/V2FRU0lJeXN5ZGRddElZc0JZaGJvZ1lxRXlDZlppRE9pRmRJd2xfZkhJc0ZZU0lZaG5fYm5TR3ZXVGJJYkZFcmdpWGJddD9tWHBtaFlLSXhDWFxcYVJZSWNjZ3VRd0JIW0VqZ1NVb0hzeXlFO2JCWVJJQ0U6P2hGW1Zhb1NXT3hAQ1lTV0hhbWNJaXhkRWdpV3dLZXldU0d3PVRkZVZPZ1ZQeUZwd2NfbWBcXFdxQXFwVk5uVFBaVU9ndk9vaWZlZD5sT2BhYkZwZHhiT29lT1dpZ3haWEF3YndhZEljW2BjQUhsWVZhcF9zdU9zcGl3VXl2WVZldGBoY3hdbWBaOkBCQGxfaFVMUFFZTHg8aWpFbHlxSWxddFJ0WWk+V2NMUGdWeW9kWG9sQWpPVlxcV1ZmV1dxbnBnW0BiRUFta2h1XFxnb3hIcFhxXXdGaV5ZZmZudT4/ZnFnblRgeU9Oc04+YG9YeWx3eGhpdVhOc05udE5OYDs+XFxCQVpaWGRLP3lMaXdvb2tTT3RGT2BPZ3JUWWxIQGVMP21GXmpsUGo8UFppT3hZSXFtd25BUHA/V2tQRnlgQjpDWmJhYHR4YnF3eFhJYE9XcU5nXnV4ZW13VU9IR29ocmVkdHFidHVVYGF0R1VYQ1FkXFxVZGZrZnVdU3VfWUlNd1tTdDtFdzs/TE91UUd0a1dxcGdVbUFQUGc9Slp1eF88UlpUWld4XkpoYm93cHhJeHdpb2l3b3hwaF1geUB4W3lndExublB4X1lnYk1ZeW9IXVpAeTtHcHlvd2pgdFtvXFxRWV5oaHV4eF9Xbmt4bml2QWlJZmZUbl1VP2VSP3dBUGxleGJIV2NVWGhhcXNvWXhpRlpub2VmUXA+Plxcc3ZvOlduXFxoX2F4aUhodmBodnRRXFxeSXI8WWpwX3dUSWBpUGx3YHNNcGphbmh0QHduaHd2dnFNeWZSaHZweXNvSWt4aXVcXFBxb1h3cXFcXFF2XFxhV2xhdmNwaGZFcUw7WFpBUnl1ZWBlZGNBaV9neXV5eHVhc2w7Qj5LSDo+XVZ5aGpoc0lpbWlZYEBhYHhQdk1ZWllQeWZHYG9eeXlpZFJWZ0ROZ3NpYnNxeHl4W3h5Z0l2Z1RoY3BAaV5RZlVObWxeYGJ2dVV3d1hVWXdTYGdVUEdVU0VVeEdUWz9nYj9zPUV1W1lyQWdndE9pVHdFWjt0U3VVaktYQztCPk1ERz11UT1nTEl4Q01JdENXTW15YHNJXl1VTUN5ZW1FUUFVX2VVX3dUP2FIb3dVW2VXeWlmd3FodVF2aHVFSUdmbV9HUW9jWE15VFVUdFlVRVVTTVd0YXdTcWlVVldFcFtXaklpXnVUaW9Vb2dzVXdIdVF4X09nYk11RjtCOj9SQGZfZ0FwVj51cT9ud3l0Y3d5T1lqUXBbUnZ1eG9ndXhkRWFcXG5wd3ZecV1Zc1NYYUh5d2poZVFuaHNhYnlhb15hX3VxdXV2dW14Y1hJeT5ZX2VHclBAbVJAZ21uZkZBeHhPYEc/eGlGX2NGcEV3bGhGeVpBZT9QYG9ZbWNhW0ZDO19LPmhPR0xZV0RtcEx0eFl5Vnh5aEVRY0hRcGh4ZnFUdVxcWV9BcFdlT3VQeW54bWZxdz1ZcXg9cnJ5eGBgWUl5bHJ0VmFhc3Bgc15gc1B1c2dUWU1lWXRheGtIdW14VnU9T01lWGZgcG5gdEhpbXV0djtdU09McHZgcXZ0bXR5WztEOj9oSGNWVGlHU29lUm9XTXVCSWVodlF2dlV1cUVXWWdneWNoWHF3UG11b2diXWtEVHlGTW1Ja0djU1VEd2FJRWVjRkF3YkVzQ0lzeFdyTEVmRmVZXk1FQFdlWXdlaWlUbGN1QF1jUkNySUtEWjtkO0B4YVh2SXByRzxNYXlweE55dHFvRUNEcUZgdVNuZ3ZdbWRxV3dyVWNRSXRpd1V5U1VqP1Y7d2JsY3NgU3Ruc3lNd0ZJTVlfX1NxR2Y9dWJsWVI+O0NePUJKSXhOeUJgT3dLQWhbVXJYb2JQd3RTb2lZa0dMTVRMXVk6XWc8RXVIZ0V1W3lWWVNXS2doP1JwT1Y/UUNVW0hiPURxTUs7PlpuX19XTl54bmhmQXVheGZ3Tndnd2ZpeW5keXV5eHFBUHB0UHF0VnVteGZJaGF2P3lKeWJbP3d5WWlzUXhfcWxXaG1HaV09Pl5KSDpUSlNNWXRNcVlRTj9QTzpQeXlpdHNxbHRMVmNBcjtYSlBFVEtFVkF0S1hcXHhERW1ATHNgbVZgTVhhQUo8aXhrZWtFPUo6RHY7ZXRqZFQ8cUxpbFVmVUxhbFNuWVhqdE12PFlaVXlwaWd1RmBFWGtFSHFCP2JycHl4d3l2SFtRSFo6XnNcXFhxQFdlVE9mVGhjVU5gR3FmSGZtY1lsc2lwVVZgXnBlP3doZ1Fna0l4a3FhZWBjW19jYW9lUGdkT0d5O2B2VGB3aWhuR2ddPWFaWl5zWHZpcmBaOj50RldaXWdoRWZoVEZpS1hsTVhmRUNFdFNTSXdNeW5nYG9mYHNwbXdWSVdLSXRLcXFmSG9HcFtKPlM7UkpDV3Jbd0JJZF10UVNwV2F1c1hoeHNkVlV5cGl1eEptbkc8SlRsT0VGakY+WkpeYmRJXk1xZ015ckl4XXVpdzxpSndHW21XV1FpT1lSU2F5c1l4d0VXTTtCO19LWjxrXFxVVl1lVzxhakNsTUJhUGFgb2pAcEp5a1NNVGJUVE9kV1Bhb1NtdW1tSlpcXHBLYXRJPEpbbVN3ZFZkSU1NZXJGZUxsZEtIaG9mYG9uSW94UUtmTVdueXRhQUpaPFxcOnBoXWh1PlBbVWZiP2dieHFkeXdkUkZ3Rll0dFllXFxQZ1J3dXhoaXdpb2ReZlRJamNIdmtodl9pdlBZcXF3Z1lweGlIaV8/WkJeRltoRU95dFFZWU9UeW9Zd1FZWUlWYm9ZY0diPXNCdEFTQj9TUFNETVN2T09IP3NnOj1HTUF4UmVpRz1TQj14Sm10U3lTbjtkVFF1VFVJdF14Ymd5YHlIeUd4PUF1b3l5Z3d5eT1GTkd0PW1CWlt3Yk9GYEdGYk9JSUlUQFtDUjtWR2NDR1tVUm9GZE12WUdJbW1mcVlkZ011bkdzRE1TRF1pU3lVeW10bGd2UkdIXV1JOnFYYE1FP0tYXFxhckNTeT95R3hFVj13QklraGtVdkBJVVBtVFBzWEg7REJBQjpjRUFVdmhrdkZJZV1pZD5lQmtjeE9nRE5bRHJldkZVU1RXRkBdY0I/eWRNbjpLdGB2XmFWVVhRcW1vUU1zcGBXU1F2bUxzSGVtdFZiU3BnVF5fRT5qOkM6S2JGZXleTWU/bWZKbWhnVXVwc3U6Q1h2QXlrdVV0X3RsZ2ZQV3g6W2JAS1dQQUJKSWNfb2ZgT3lOcVlHWUZNVVZ1b3JbPVc9XXJAZ0NVW3dUaWhlXVVaO0Y+PVRbU0I6b1NIVVhCYVh4Z2ZAaHVteFZJeGs9QVFyPXhaeHdyYFlpaXFxYVlNXVJySFRdcXE8ZHZDWWxhZHdsaXZFcXlxZXl5XWtZdFFYUXRMUXRySW49QFJAPFpUX2BZaF9dVl49WWJTUGpFUHJScGJbX11yPmg6eWxodnV3d3hXd3lyP2FKcVtVZ3g9aXdSSXA9cXRoaGVlWXFjdm9Zd3FoeXlZR3djSXdwRmlsYWZZb25PeXY6XlpsSl5Ab1RsbFdobWdVa1F0T3BZckJ5a1ZEUVxcWVJddXhoaXVlSW5mRXdMaW5YRVNFZFhkWWpVdXBoZW1JYHBKQVFJSFY9cWpTeXh4eHh3VFNETVNseWtjdVBjeU95RXlFdXU/TW9KSUtKPGM6TkI9cmlNQ1hVUkBfQ2tnRkVtZHI9R01VYnlPUkZxd1dZaXdZVkRTV1RLZlRLZ25fdnRtdkZJRVVVaGBlY1lHdXM/VjtRQnVxeXF5aWlpVGtjc1lVdEtHVGRPeXdteFN5VnhtZGFvZGBFQjxDTTo9c0txS0VJdj15anU9cUs9T01JU0FEal88Uj9QUGdUV2RdVkA9T0w9dkxRWGVJcF11cnZQUHBZbllkeUJ5cVllc1BVbHJAcXJUVXBgV1N4bVI9VFBtVGBJUk08TkpIWj5gXj8+bUtYXkFPaVpWdGdhd1NZcHB3dkhpXVlma1tIXV9PdztRdEw+ZmJGZGlBbUBedWRvbFRQcl5Qb1xcV1xcYF5jck9dQFFadGd4ZGl2R2h5TXluSXd4WnFaSj5TO0NcXGNFUmdFYklZTHllXUN5WkV4UUlmPUF1b11jTD1mTG1Ya1F2P3VJeVFUPV1WT0tzbkN3eVtkSHlZTkl0Uk1VWGV0cUFnaj9nO3FoaVNDR09VeF90QVlSc0V5TztGSkdCQlNZZD1UWVNJcF1neUN4RG1WYG1WPl1FVGd1WGFUR01UT0dTW19TdWtET3lkX1doaWNERGFobkdnbUNIb19DUktDbl1DTk9lbmlYRWdjR2d4XUlmTltFWV1SWVlpQE92QE9VT3dDWjtkOzt3Tl1oPW9XWkFyO29ZPVllSz12TFF4WW9mc1lXcVFmYFVZV2Fpc1V0PUVlUFdKU1BQP1lKSll1YFBLU2VXZ2VvT2F0TkFZaVhtPHV0RXFzXWF0dWlUO1xcSz94d1U8V29ZdlR0bDo8SlxcVFV2XVl2TmFvT29JcHFKQWhPZ2RdcG9YZ3FkeVpNWGdhbm5gX2k/UGJCdmRCUXRHd3VZcHFhZmpueFxcS3dxU3BhaEBaQT5cXEJBWjpGZj1neVxcT2c+eHRiWVtHPmVPUWBgaW5Fd2x2Xmxjd15gcHl4cWBjUF9gaF5kZ189T3dyeV5vPnl5YF9iTm9hbmN1dmJvdmZHPl5KSDo/aFxcP2hdV0hpY0REYWhbTVI7cXZWSWltbWhrZmlhbnZFUV9MZ11sYWZPaXBleHg/aGZfZ2ZzYWlrZml5Tltfd19cXHBhbWZqQ3lsd19dWj5sO2JKb2ZgRXlTWWhhVXk7X3ZUaWZiZ1Z5Y0NdZVRiU3RIXXNxR1NZeXM+SWNNY1lDZ1RBW2ZBa3NfYVlQPXZ1aXVxd1dZZ1ROXVRqWUI/PXVCT3lzVURoU0o6Z2A9WV92QW9RVndQaW9Vb2VrT3RaaHRkUXdkd2l5UGJVWXVaaGVPUGV0YF9kTl9sSV1dT3VLTm9ESW1AcW1iWWZkQGtnUXVvWHN4V3lVeXV0SWxKT1thT3VySW5qR29XQHE6P19dd2xfQnJZR1RtRU5JdD5NdXdFZztHaGR5cnRLWW5BZ0FLZk9TR1BdaU9nRWhPRWdNZnNRVllzWXZJaHl1SUFvQ1dLaHlteWF5WXBnd1V5aHV5eFU7VURhdHZPSHd1WXFrV1ZBdkFDY2pHUj9fQzo7eDxNRUNHZlpXZkBvWU9Nc25fQmJvVnNlSE15ZmBvZnhnZDtJaFRzWFtveXBjRU5vZ3NLV3RDVjp1cmNDV0NPVF1RSU5FQ1VlaGRlZF9pdl9JdV9Zc1FneW09Z0pHRlY7VFtTQkprWG5fZFBlVE9ldnVndz51U3RPQ0lbU2V5V3lFV2NFV3htVV5PRXZpaEY7Z0ptZj1baU9FR01JaUtHRVNDRVdreXdDZ0FfU3dtV3NHaXNvaTtDdjxpYkVrVVdTdExNZ1h5Tk9Fc25tTmFwcl49V054Sjo9Tj08anBtbldxWWF0U1hgeF9UT1NgUGNNbElgV0o9UzpVeUw9c089d0RcXGpsZGprZE1saW9EYGxoeHBgdWxjXFxwbz15TXhUTXlZVVV2c1xcWE09T3VtbWQ8WV1sUkZAdkE8SzxEXUJuZlpWcWxndkRod1ZJUXlpZW1JT29CVU9Gclt0dWdmWF9HP3NFP09oXXNSSD9ZP0tXcXF3V3FFRl94eGVCWjtCaXdja3dEOjtiUHdVd3dIP3NnW1NSQD91TGdGRUhRXFxQd19RdEhZUz9QVm9kdGV4cEY8clVcXHlISFhDPEo6ZG9bQExwXFxZckFYaVBsY0hwWVV4eGB0TnVvVz1tRFxcV1RpbHNxcEBNVjpcXEpsPFpCSG49dnJBZ2tUZnZ1dl9PXnM8VlxcbXlwaGd1ZFlwOnF2R1ltcXFkcHdlPF5abD5aOl9iS3FzP2dfVU9fSkhfUkhnPHhxQFFmZkd1bGhyZUBndG5pQ1dyVEdaSj5TQE5MYVB5ZU1dXW46bW5bZ3BDUWJNXnhxdmdYYXdbYGdUYXBjb2FIYFo6V3dKYXRJPlpyZ19UaHlwcXN1dndyYWFsZltkZ3RoeXRleXRpWGliVnRLcWJ0TnFCPlo7YFs6QlNvYm5PV15BY2BJZGNNRXhPZ19lYj9nYnBHV01xRllnRGFnVkc9QmdTVkNRRDo7eEBddD55ZzthaURTVlVrSGY9aFxcUXZcXFVJeW15dndIc1lXTTtiSEdIXFw9V2k7UlpTOk1UTE1kcVN4ZVtkY09JYG9GeVFiPE9CaXlGTWlTTVV4c0t1RDtGSkdKPmZzWlZtbXZmSHhqbGZ3cmB0cl5bZ1ZlZFBkYFh1akhmPUFxQj9aO0RKSWViT3dcXG9mbEV0bD9FT3lkSkF0cXdXWXVlP21mSm1mU2FWVG92aW9CeWV5dl9oZkVJYj10WmtHTFpaWHBPdnJGSF1dR2BrRmB4eWhXRndNaXBlVmlOUGI/T2NET2tnXmVyQHRkWXdlZVxceVVYbVVodWJJc0VwQVJwX1lzUVhFUXNEUXZcXENCPktIOkN2SEV2ZXNIcXN0aT1DR01JZl1VW19TdV9HcWV3VGlWSWtFdjtoPXdCSUBUYEhQU0x1S0hLWkltUUxteXRXPGlWOjxKbnhQZ0RPZUVLbXBuYHByRFVTRWVvXFxQbjx5c3hgVF9hUztoa2NteTpEakY8SkpcXFZkWXdNPXdEbVNIbXBkUG9kdEtfdUtZbFFuQVRQQWVLUXlxeXd5YXBJPlxcWj5sSz5zOj46P1dzRVU9WVZva0Q9RVZGVUlpU0JpZURSYUREQUlcXEVDWjtkO1xcWDo9T01BeFJldU5ZU2BQS1M9Tk5IVz1wajxFbUhxcj5MTlNkU3dBWjt3bmt4XFxUYWpbWHJCaXRieWlgYXNTdlteT11HSG5Ad3lzWXhhWWVcXE9mXFxiPENiRjxKO2Fuc0VYXXBSR1BZVExzSHFtd1R3TWR5b1xcUlBFamdteGZJdXhgcUM8TEJDPkNUSXFld2NZQF9lPENlaHVkaGBWX2ROX2xwc1V4YHVLX01RTVRsQHVZPk1OdD1zOlxcal9kUVNYV1ZQalhReT1IVU5dTFFkTkY9T3JFV1ZsajxJbXBtVWQ9WGZQWURheFBVcWxkUExUUkFlTztcXEpsPEpCRFZUWFZvTXdOaVBOTXNlPEo6PEw6YE5cXEBOZEhPWVBKWXhtWXh5bl1qPFR0dFlyaVxcbGNhcD9kamxYeXF5d3VhbWxkcU9VeHlwbndZb3FgS0JgTFZZdTtcXHFKZVhvZXB3VXhHeVB4VU1qPGZVaGBlb2x5RmNwaGpkPmV0eXhJcF13TndNSHVPWV5OcXRpSHhcXGZbR2ZbWHlpbnl2eXZ5U3l5aEh4Q1Z2QGlrXVBjUG5mTnlfcGZnVGFgST51ZXl0aXhwVXhgaU91P1lrUWZnXXFyR3BdUmFwbkhjX2BbPk5gOkZcXFk+c3Bvd1ZJZ3lReWl4eWRJZmZ2XmF2bkdJZkRXcjpneG9ueV95ZXhpcmBfc1JIeFR3ZT1mbVVQb1tPd1VWZF14eUBoW1VecVlgY1tXZTtgY1VkS1dGQU1Uc2FCO19LOkRyYEhua1BLd3lTWGBRa2hTVXBQc1FMYEl3TXlud1xcXFxHR2JYPl5KSDpMUFd0b250WGhhVUlkVlRUaltIdmt4ckhoTW1pTkVldUBkS1RcXHI/TVJhcFJXPE06PExMXFx0XnlvO0RwdGhKSHlxdkxYXkFrcXlsV1VxcGVrRVxcSjxEPW9jWm9FPWlCRWtEcmVoZjtYeGl2W1dSQV9pS3lVR3V5OnVWP1RTWkxqT3F0UFF1T1lvUWVxQ1B5QGlrVWxxdUVUdUxPb1hxZzxNQWxRZVl3ZUVPZGF1c1hYcEVmRW5EZ2RzeVlhPXNKR0ZwS1Y+QUNFdVNJdVZRZUV2XWJDUWY/VWN2R2xwZGpiYXlFaWlpeXhrPl1pcXF1cW9ZeWM6TlpTPmpqeG5zaGVkX21YSXBdd2pRb11IeF15bmdRb29WR3hxeVtWPmFKWV1maGhNWVxcW1dpQ15tWT95b3l0WVd1cGl3VWlpeD9tPEltQEZqSHZdeF51cUdmaFBlb1BzYHZjWGB3PVZiS0Z1TFF0TGFna1F2P3FpeUh1dXhoaXhbR2h1bXhGWWZHbWRoY1VkSWZHO0ZKR0JCU1d0W3RzeWN5XXldZ3lseWR5X3hYYWVbVXJAR3VBc0V2PXZBbXRiW0ZjbVhST0JNT0diTXddSVdJc3ZJeWVxd1l1eWh5VVBJZXE8TUtZTVlsZXRsXFx0Q1lsYXZveWd5ZVdxdXd4aHhkRkFtY25aR3FsTWF3dGZqbFBxdFBhWW9wdnhoaXFtZ3F1d1h1ZWZmdHdhXV5kOj9ePT5cXHBgZGs/ZF1geGF5bXlvZz9pcj9xcF5Hc0xWeXJZdkloZ0xhbkNvYWJYZEFoYWVQam9JdWF3bXNnYkVXcldXdT1HZltHbklnZnlBeD15W3d5cWNoZkRnc1FQdExId1F2ZXZHZnlYeVd5d3ZQXFxcXFBbU1BaXFx2akZXYnF5W09fZ09HXFxNaXlQd19OXlxcVGlkU2lkYlZ0bHBuVHh5O05aUz5KQXdDY1NPbUJvaWNHPWVqQ3J4TXhNd2VyUXheb3Z3Q2NQP0R1aXhleXZ5dXRsQ2RIP0dkdUN0c2VqWUlZSXlIZ3lyeXJ5a2hGX2NGc2c6P1NcXE1WXFx3aU91VVNvQ1JvdFVlR09PREJBdklNVEdFckVFdnc7RERhVEdlVE9zVEFxVmNZVlRBQlpvdnk9RmZ5VTo/WEM7YkJJZlhDSG9zd2U9d2BPQktvRl53Y1hjSXRJV1JTQ0o9U0x5cmBrU1Y/d09lZ3BBZnNLVHRrRkFlaTtFYmprRnRZaFh5SG49d0p1Z0JYbGdlVl9lTnlcXE92ZG51eW50YUtPTHNuSHk9VXNTUXc7YHR2UFBvaWxveFZpWE5qcXRYXVlqRUs6QHNbaFVIUFlcXFR0aHFSb2RSZU1KdHBraEhZS2R4YUF3XWlZdGF4Y3VseWdka150dW54XFxwdWpmd2ZgZD9fY0dheVRJZWFQY0JZX1lHY3BmWnFIZF1wYnN3dVVAd3JnXXRvc3R2YHdAYEJZc0VZaXR3eUpnXk9Xc2VRb2RQX2poc1ZIYU1ZaVpGWjxGXTpAbGFIX2J5eGl5VUdoWGVUamN1bl93bVFGRHNSVG1Wdm1ZY0FUd2NWVD9maFd1RU9FeGlUZ1FUX1tTT3NnYVlnVnNzUU12WHVkPHl0ckl4XWl5QD9zW1d5XkF1a1dWd1tkY3FYY1F0X3N1TktmXXFkbnV1VE9Jb01nP3FyQFFYWz9SWlNCSkt1ZFl3ZWlJPkVXcWFmZE9UdFtpc2lWQXNIZWl5VEl4cmF5TGdmeGlZb2N5ZUF0a2VUVXFlUTt1VjtyS3VIQmtCV3lGb19kaD9ScGl0UXVVc3FmSmN3TmtDPk9IV3l5VFlXU2dFYkFTbkFkO0NkbllDWWFEbF9UXz1USlNUb19TRXVJVG1ydkVEb1llY1l2dE12PUtSQ29kYHN1c3V2V1NVcF9XU3dDbGt0d0V5bGl2RXFFRGF0WUN1TFFkcTtERD9nSkdCS1tST0VIR0dDSnFTRGVIPFVnUV9TO1d3P2V5UU1ld2Fmc2VWT2NET3N1dHVpPGNlVGt5T2FjeVFmYFlZZ0FmTnV3U2NJVz1DYGNUW2VobmtnamtmbW9HRU9Lc3VVU3B3XVFfTXdxU3Z4Oz9cXEJBOkNTST1UZEl4TFVSeUl2PXlidz1VZW9SVT13d3VzTUFESGVzSFN0QXllX2dGXWNjVDt0RztZVV9oW2NSYVtJYltkZz11akdyRE1TRF1ZWkdYWndVa3NIcXN4VVVJdEViSm1yTGdGSkNWbl9yXW9yYmVHWU1XSlNnVFd4WXdFeFFVV2VVZ3l3UUFGSG1SSj1GTkdXcXFnYEF3Yz1TZm9IWz93eF9nU2VWRDtXdEVSO1tiRUtHXj1SPkd0UlNjc1NYYEF5bm9ZP29neXV5cXlZcWl2Q2VTQnl0aFdTT11ybl1TR29GYXlETltEakVySkt4bl9DeXNYaGFVaV9kY21IUz12cnlHZ3NVaF9NX2hWYXVWbUVsOj1OPTxMVF14XmRua0VMWWRZbklscXlqZ1F1b1hzQWhyZE1XeVByVFB5RHFTVkBRW2lRYEV3Y0l3Vj1QPmhKR0FxVXhReW1xQVBwZ1hVcVB5TFhxWD1VYl1vRVF4X1dpXz9dWj5sOz5bY05bWFdfUF9vanFyYnlveXB5VHFrWGZhZHd5a3ldeUl2XUFgbmFyYHBqYmdkUF5kZ1Z5PXldeEFyP1ZiUj90alZ2P1hbUU5pYlZ0Ym9cXEdhdXU+aFpBakFQYGdBc05xak0+ajpvOkNpRE9iPHV0ckdYXWF3ckl4XXFpPWVTd3lIZFlyS3VjU09FXFxndD1XZl9BRndDZGNhWUVxaExxY0Zldz5XdGJlQ1dLRHdRaGlHZklZdEp1U3dDZGRFWUN1U2Z3Z1xcd2dhd3dRdUhLSVZeYVNleWJiVXJEUXY/WWN3dXhqT2d5T0NfTXdPX1RiU1lxaXVxZXldQUI7X2tKUD5vQ2htdGdpUk5rc047Z1h1VGVAc05hWG9lT3FEd1BRTVQ8WGVweXFoUGVtdHJ5dVF1b1hld2FlTUw8c1pMdW9cXG9KbW5zXVZ1cXhnWXhEdXdoaXV1Pl9VT3BeR2NFSGpZPmlVPnVfR1s6PndOX2BkUV5tVmBNWXJRcGBlQF9qWW9xTmhhcXNXcHBnV3VwVnF1d3hodlxcQ15abD5aOk5qR2d0TGdfTVhfTkhnU29lQUlfY3d4X1BaU3FrV1Zhdkh3WT5eSkhaOj48b2RiY1hCaWl0dXJAdWNYY3c9UVZvTXk+b1JdPWd5X1N1Q2M7P2Rzd2lsRUM6O0JXZ1RaTVZ5T2V2aXRNbVhgYXNTU2lvVXdQZ1dYYWlTeUlwU1lwYVd5S1NGO0ZKR0I6O0Q+ZUl0XXhqR1Rdb1JzPUZNQUReZUVTa2ZdbWROS3NuSUhnXVVLcUJOO2I6PEo6QE5MQVdPZGttRVRiVFRvYHdsaXZFcVh3UWlwSGdNcV5pYGxjSHlZd209XnFnXnhKSFo6Tl48UG9aV2xgZmNsSV5rUG1xd25rSV9UaHBxSGhdcWJ5dnlMZ3RtPmo6W0pocj9pclNhbGNWZGZpcXFxdW1Zdk5gZGdWcXJHeFxceGpsYHl2YWlZbmNGXnFHXl9TT1o6Tl5EcGtGVnRDQVxcRFZmdE5hZkBvYkBzRE5bRF5pY1Fkd2ZmXW5iRkBwaGhlY3hkOkBCPmRfbl5gTnVGSW1tZnFcXG5wW1dSeVhYbWV0Y1hEeVNpP1RqU3RrXVU6dVJcXGlGOjxSPk1TRE1TbElwUUxRYEVTQWFqT3VUUVV5c3BvZFBtV2VxdGVsRVxcakhkTG9ZeGBcXFVATnJHZ2dnZ29Jd2VRSWFWSGlzR2lQaGxPaHJsVlxcVGFjQVFfY2FnRXFyQHFiaVBsY0FgbGddZ2BuQHZpV15iWEBsSkByP09iQUBmQ1FcXDo/eXdQbEZQa2xIW01uXnI/XFxNZl9rRmhqQGFYd2RZcXF3Z2c7UWo/bnF2R29daGxuX29MSWo9Qnl3U2dzVXhfdWxLSGw7aUI9Q3hZdlRjRGw7QltRRURhRD5BQ109V0lLRUNHZl9VU29LeWVPVGBXVk9fVGNTdFlZdExRdFJvTj5MUDo8SnRMakBNVmJcXGxjRVF2PExEYVhaRHFQWFBvYFljeGs9XFxKbDw6O2xjeG5mUG9kUHNEVVNFZVFOSHc6TXhoZFV0QFliVHZCaE5KPHM6PjxPYlFPUlNPeURxRXhbWWJJVkZFZkZFdkZVU11RQ19NdUI7SkpISjo8TD5NdWdYb1tJcHdNeW5JWVRFTmVAb2JAeEptTFdkTWdFd2NJd3hYclE8TkpIOktYYlN0QllDRztkZ3NHaXN4WE1IP09Id2d0bnNZb0t5ZWlHSnFVUlNZOztqUTx0SEZxc0hxcEF3S1leeUh3ZlhzTFBsTEJnTXVeSVZmTXluSXduS3k9P1JAO0I6PWhjO1ljbXVXb3JZPUdOZ2V5c1lYeXN4X3RbXXZEW1dpYWltcUN3Y1ZaO2Q7RG1UTE1UXFx3RGlsZXRTSXhwS2FseGVTZnlWTHVRPEhuYXVzWHBQcF1neGZxWUduZkBwakB0aVlpO0BkYEheP2F4Tkh2R0d0PW9aWl53Yk9udHF4Z1l1Z1lwSXFhbVlwQWZgREBmXkFzS2BbQmhiSkFfcmd4ZXl0SVlyU3BmTkhvaWBjR3Z5dEh3Rl9jd19rdXldWGFaT05gOkZmQ2dsRFBzRFFjeVlwZHZcXFRudUNeWk1QeT9xbkZHbVxceV9CbnRoaGVld2Bpb3VuWGhhcXNTd3BoZ3V2PnBHUF1vTmtKb1o8Rl06Wms/XU1xbkdXeEpvcHhneXRXX2huX3BYYGFvc3I/Xk13cVNvY0hva0lRYD0+W14/OkNSXkdUUlNIYW1zbkFUcEdWPXFCWU1ydkNYXFxhck1ZaE91QkdLRT5pUjxVZUtJQkU7QjpVRWN3V2ZteGZJdXA/V0tRZmF3UmdjRXdLWU5ZZ2B1dGl3VWFRQltnc2I/ZDs7QmpRRUxXZE1nV1hhaXNtVWNTdWxnVkVndXdXWVFxQ1hbSWJZdHZ5ZGlzVWhFZVNHZVZdRm5PRU9LSDo7QlhVZEhhaVY9aFpFYkFTSE9lc25jc3l1eXhpeXhLRD1VUl5FYlBRZjxtQjo7clU7dExnZlBvR09FR1VJaF11Yld5aXl1dXBxd1dZd09PaHF1dXd1dExVVE1FaUI9V0tjRGw7Wj1neXV5eHFoXkVvbHJXcHl3d1hpcWdxdXdYaXBYZ1FxP09Ib215XztSWlNCOjtmPTt3Okl4X1dTUU91TklnTWVZUkVYU0VVU3dURmFIPkFVeW1CQltWOmJgeWNfXVZePXlsY3ZeR1NNYFR5ZVRBYVRfVFRqVHRudVk6QFJAQkJhSGN3WVpBcjtvRURxckdXRWFZclxcdVdZcWlnVWVxc1dwZ3V1d1h1SVRFPXJFc3d1W2VfRUNaW3ViQWVeY0lrR3dnb1JFO3dCUUVHU3ZeQVhrXWI8Y3VJU0RMS0R2dXRfT1lDYUhIU1J1d0dPW3NcXFVWXWVpWWFTO2VDcm1EdV9HO1tiWVlHQ0FnYlNlakNWPHdFTVVGZHl0W2FDO11iTGNTZnlzR2lzb2dWRXFkc0lpZWdCP2NCeGtCPVV2altEQGF0YW1mam1CSjtzOltKZGl0S3FTcGR1OkBUX0B2T3hsUXh2O2BTcVhLUWxPUmlrVXRQdkFxX2RKcGR4U2hyPmFyakVuOj1eOkJGTVdmeVRpQ3VdeXJJZ0lOZ1VzT1g/UUNFU0NZb2JsY1lGdVc7S1lCQUI6O0NcXGNCaGNTbnl0TGNmSEtGUXFXRWV4Ok1naV9TQXlHY1lWbnlJPE9DUztCOmBPaGxPSHFuRkVtXFxZdHZ5cXRRd2VUT2RMT2xxcWxkam9kT2dtS1lsUVZAVEA9Tj08SjpEclB0TVl0V01xbkdVeEptcGhldXR0V2x5UXNNeF54amxkdUBgS1NMcj9Na1pdT1NNSjo8dDtddD55b214T29tYzpReF9wbnJ5dE5hdHJhbnlna0VBWjtgOztCO21mQHVZP09IZ3FEUGVkRnViS1dXXFx3WWdlV2d3YmxjVExBUlpTQjpKeElvY0hveFxcdXJJdUptbldAbURkVkZgWFs8bDs8UkJZV2I9V2pxbmJZcGF1c3RZVXdpVUk9VmRAUTpEdlBMc2RZd2V5cU9Mc255WD9QUGddSjpEakZeamZmYVtnd1RpcEVxaXlZeVlZdUNYXFxhXmlRUG1gcHhtZm9ZRnZAd25GP19OSGdIR2VaXmxjQWtfZmRIYVxcRGF4a19iQG5oU09aQlZhdE9wdD95akluT3ZcXFFWWWVzbU10dUFial1mbWdHUW9HV01PU3BLWnR0c3lsdWxYZkF4QHl5P1lrUUZlXz93dkFddE9aOj5yVW9uZD91dXh3eFh3YV9lZFBfYFhaQ3lwZ1d1YFd1cXhncUFqQFo6PltsZnh5bmZeX2ZyP19VQGFrc3VDSG9fWHNHWW1xVlltZVFhVnk9REJBQjo7UkpHZ0FLWFpBcjtvaGZFdWxTRXVrWGZ3eEBtZFBvZFRxZkdVZWZ1d1hpaXhfU0lLQlM7Qjo7Q2xjeEdnQ1dLSU5xdXV1d3dTRW9LV05nWGVxdEdZZXdpWFJDeTtZYkFjZ2RPZ0RXYz49Rj07WlVwa0tPc0dpc29BZFA+YV1RZF1pZU5Oc0hwPU95TnVZbk1yamtzXztCOjxXS1FYX21VWG1tSUxrT2l3XFxpckVwWG9Rd091S19NeVJBeWtZdndpV0FVVDtwd2BpU21QcXRUcE5hVG1kVzpkcXl1dWZxc1dUUF9hUmdtWFB5cE95cGlVeGdMUVRVWD1kc25QdVRNVVRheWlZd2lpdXRIbV9kTm90WUdwbnZJSzxEPT90Xm9yeElYXXFycz1GdVF4RXlHdztkV01pbkVzeG95dFlXaU9mR29Fd0t1UV9IdUtUc0VpU3Fld2NzW1tXPGFCbV9jRlNodmFZbVdHUU1lPXVkPENVZl1nU0FyO290TjtHR1FobF9zbndFO3VlbUV2PEdlcFtjZDtkY1toY3l1V1NIQGFXUkFIbWtWWlFEQkFKSkxwbkxKXU14XklzcGF2Q1lMdVl0WXB5XnVQaF11alhYYXFzd2RLX1VOQF1rclVPPURsVXBxV1RxeGVxczxrY1xcbmNQTVBIbWNtVFdldVZFS3VUWXBIeXdZckF4UFF1c1RwcWd5bk9EcFRRVW1YdXFoc0RUS1VYclRQUlZBdWtQdU5BUlpUOj9EX1dGTm9mRkVlXFxZYl11dGhnVWVpeV51Zkl1ZXBBUmBnVkVlVzw7d2JZVj1hRGRfaG5FZ0pnSGNNVG1lZGVDRltHaTxrWHZBaVNJZW1jczthUztXU09TSE9Vc1RPaF13R2tNZ0xvZkl3ZXZDdXZJeEV5ZFV3eXdBU3lraU0/UkA7akp0TFl0TWl3Y1lwd09QcG9Zd1FZeUhZc11pY0N5YltgZ29Rd09xYWhWbl1GZ1NJYGBubnM+Z0dnbVRhcT5GX0R2ZW9peFBheHdJbWNBXkdmaVhBdjtxdG5pcXlpXmpHd24+X29xbGNQamBAZlBHZFtvZFNHY1pWXkpIWkJWYWRwWmJheXlmYHdWa0hwbUtxY24+bm1WY0ZfY25IRUdVWEtzTmF1aUdFX3VSSF9Fa3FJbGdUZW9UU21mUGFDdVt3cT10ZndTWVNoW1dSeVFEQGFSeW9iRFtVR3V1ZHdCbGNiZmNCbHd2PXFUSXFlR1lzVk95dEtVeGF0Z0t0SztzOltiV2N4RkFXUUd1OkdCPVt5aWlZVG9lUztJUl1FSz9GY0NHQ3F2RkllXUlmRlVCXXV3VklpXXVCSFtFall5eVFzT1dHZ2NJd2NpPW9ZQVNlVUN4XVl2eVF5XU1DX015ck9yUE9HYE1VUGFZS3l2Yjtza1lXRT1GPTtEQGFUW1N3VWF4bFFVcTtGTEF3akd4c1l4YVlZSUV1UGlvVEVVU0VtZ3l1eXh1ZWRWVGhVYFBraz14eXVKVVhyTllvPGRsPHVscERqeGBXXTxveHBSQXRweEhMQkFKOjxSdUl0RUhsP1VrUE5DV0JCWXNFWXNndXNYZ0l4Q3dZdXZbbWZeX2ZqRWRCW1Y6O0pqSE9uZU9TTXA+WVJTcXNXWFFncXV3WFl4cVRbYFNpeW48YE1YPXc8aEo6PE5GRVdzTVRPRHBTVFBgPVVpcXV3aFlzUVRPVFBXYUxKQVJaVDpvQ0pvZFBvVkVxZGdTeFNlVlRbRmVvUnlpR1VtaHJlaGZxaUBNdz0/UkA+W2hmZ2xHc0JBc2pBZHBGaFxcYWJ5TmhDV15rbmBoX3ViV3Fxd3dwUFtHTnk8RmpGQjpYU111T25cXE1QVXFmdHJIaE1lWUx2eVdXUXFfSW5GVVZrTE9vRFlPXFxKbDw6a0dvU3hJQ0VsW3I9RXVCSWRdY1lGa1JrRVhrd0NLZ3Q6Q3VkZUVuQ2NKaXlzSVhDO0I+V2VAcXJAdXdNR3RHXUhRR1NNV3l1P0hOQUNLa1NBRUdfcXZgUXVsaXZFaXdLWWZBbVlKQ3lvWXdRaUlOR3ddTVVMYWNLSWVBPUZKR2pxZFRZdVVpeXZyaVdVcXBHeXl4VFlwYVdVTXFuRW9RPUs6QFNhaHZEZU1lbG46bW5VaV5oRnVfWVNVeXRZd2lnSU5HV0NVVGl1VUFvYz9Nc0NJdEJpQ21fY0Zvdm1DR3lReXl3V2BXZm9jeFk/d1F5d1V5UmVjSUdzRUtpc1lVZmNZVWtZVk9feG9FQ149QkprVjxjRGxjaXR5RE9dQlRbWERHSDpzZkBxeWtaRU1UaXRleFRnUXI/WEtYTHNOPHVuYF5vb2U6QXdSXm5geHR5dm9eQGpvRmlsWW95dmJNWXlBYFtjb3E7QEI8bk1RdEJcXGtDaVNDQVNBXU93SXdJdVlsWG1xdFdURVI7RWpRdXJuVXNDSXNrcG9XRVdfdE5KSEo6PFpPdjxJdU5JZ01gUHl5b3hQeURZbXZ5U1hgUXNhUE5oS1hcXFFSWGtOTE5CcHI6PEpuTVZrSXhrcVB3TXludW1ieW9DcXlUaVdzaXNxdHVSUXlvWXd3UFdAQHQ6ZWpGPEo6cFNoRFBrRHRxdHFiVVJGUHlCcVdZcXFndWpIZE1scVFsaFRlcFRzYXB5UW1UUE15XFxudlBvZFBzQW1WYnl1S2VqR3VZQERqRjxaYndaQ0djQ29gYW9zVnZ3Y1Z1bkhnTWh1d1hpUXF4aXl1aXldVWZgZF9saU9sc2BoY1Fwd15pUmd3R3h5d1d5YE51SkluPWdpQ1lkPXdmOz9ePT46VUlKYXN4Z0JFa0RydVNTb3N1X1RfX1N1P0h5P3lcXGVpT29kcEtVUW9HQ29kSj9kWGFEVFFXZl9nZnVpb3V3eEd0WGlZcUFnd0F2QXNJbkdIXW1SbUVCQ1tWOjtKdT13VXlwaWhPVF1wQnlsYHRZcVlxWUl1b1l3cWlPb2RYO2hTUkBwPFFUTG1SVXVzWEhzUHVVeUFzWFxcUXJwVlF4T2lNcEdUTVBxUHdJeXl5cHlpeHlweVlVTWo8Vjp0TEpAUkBCZ0lSd0lWZFlFdT14Wklob3l3eT9zYGFzc0lpb1V3cHlkY2FnS0VUV2lnSXVlW21kSj9kT2F4c1diZkF5a3lVUnlmWW9ZZHVJd0l3SVVlPFVVRHNESj9SQDtCWXFmW0NoZF1UUFFERlVXSG9TTHl2Ym14TFVTbXlkbmlYb1tXcGdHPXNWVVV5b2dSWVlYam9pcG9paG9peFVVYll3ZEFiZHlod2lob1V0b3dXRXl0UGlnX3dldz12eE10UHdnZ3dnY3d3dWlXeWV3Wl11SXN3WXlpaXVWSGFlZ015dEllcGtWRnlDeWdEQHFlT2NET1lybFdoYVVVX2VWQ2dnVXV4dW9mSWlFXVVHUW1nXkliQT9SUGt1Tm1FaFdnZVd4W2VZd2tVbm1kPjticENUbU1oeHVnblt3THVyYmNoYE14cnV3WGlpd0dUU1V1eXlVX09obE90SV9lc2dYZXFUZXdpWWNTQXV0W3FzZ2NHZWF0UHF0dElUcEtJXT1oT3lDUGlTeXlXPW9CR0t4aWl5T11ERnVnVkVpXFx5dXVVVV51VmFVeW5xeFA/V0ZNUnhtWXhVZXhvWHRNWXREUFxcXVJFeGJjZl9nZnhZaG5gWHNxcGxkaGB0Rm9beGRFdmZpQW87aGVHV3d0SXFwcGxUQHZBeFtZbndpd2U/R3ZAV2RqeXdXWXFRUXdpaG91SXZqSGY9YXlGbnRaX3VJZmBZX19lVl9laWxZWWhjR2c/aGZeX2NjT3FASGlpYHl0Z3V1eHhoT3l3R11pZ2ZfV2FVUGJWb2E7YGs6b1xcWGF4OlZoZkF1a3ZpWmBdd05pbnhhckZoOllfalF5bmF2aFBjOnBtPnZoZ1F1X3dcXGluZWZnZG9BY3VoUndJeEFpP0FSYHdndUdZbXFWVXloaXVVZXdpYW9Zd1F5U3liWWtZUlFWWlN0TV93WGdJdV1ZdkFSZWVyQHFyVFF3T1lnVV1DXk1ZZkdJbF12QmdZeEl5YWlXdG9laWlpcXFVZU9CU0llbXNWZnlEeT95P1VleG9ocG14YztGbl9EQmF4bVt5T3lneGVWSXNFeFtXb3l0WF9IY01keWFHVU1DXk1DeXdld214U1VlYHFXY0lYdHRZcllyUFRKU1BqXnBOW3lwXzxvZHFZcklzYXRtbkBNQmFYeVxcdEhAczpxV0JxdEp5dHZxd3F1cXVRczpteFpJcj1wXl5xaE0/dFlOdWR4b1NWXFxNYHRuWXlQeXRJQGY8RmpmXm9jaWxTcGpqSXdPX2xYZ3diSWJNR3JGY2Y7YlFBWWpRY0hveERVaFhRWHZZQ0pxSEl3RXlDaFRPZXRvZlpndHQ/RVpvZWw/Z2I/RWVnZ2dzdlxcSURCUXJVaWhldXR2QUheZUdhW2VyQ1g8eWRoY2hmRUhrTXY+dUV2d0JaZ1duY1dWZWRgY3hbQWd0UUh4XXlycVRvSUdjT2NfZ1VgZUdLWWNfY1RCTVVNeWRQO2ZDP3dnY1RYYVI7TVRFVWVtc1ZIYVdveXRQeWltUWdEd3JtR1JPVXNJZ1dzUXVsW2ZPRFlQVU5yVVV5cHBQaGlgR2FTd2FVZnN2UHQ6UHRwYGlZUWVcXFhnQ1BvVk9pdmhnRWFhZ2BzRmFjeUltcGBiRXlrZGlvZEdvTHB4dnl5ZXBiSl9wPmdseWZ1SVZ1bFFuXUZeW0ZyeW9jaXBxWEZrR3d4TWBkdUhpbWhoO1ZvYHBuZkhfPml1ZE9xSW5mbUF2PT9eRXZnZFZvZXhqW3d4aGl1WE9qeFZpcGF3TUFkYHhaWmZ5PEZaYlddZ1Z5ZUlrYUd2PGlqcGlxaWlpaWhyX0ZgQ15gTXdwPkduZ0d1bGhmcGBoY1F0cGhhYnBwXFw+aWJpYlJhcXNXeHZHX2loX1RXeHdXd1Q+d2tmYkFQY3FoYmV3bWppXFx2XmA+X3BneGV1aGBRaWI7aW9vSHJqSXVpaHVUWHdcXEBecFlqWV55WmlwVHZ3VU9uWEZxSW5hckFeYnZlVUduR1dzQ1FhcEFvd3Z3ZU5bVEhnY0drcE95bklhaT91SVhrdUdpOlhpbGFuSFFzRVlbVXB5bndybFdoUU54OlliWkp3RFdmQFVrUHJZZXZodXV4aHVlaFY/aGo/cHVxPW5abW5dZE9uaEtTPFJlSXdDZVNxZFFTeUpIVFNodXNpaHVUQExLTFdZVVFqYVZWUW1hVHlKVXlUUUtRZXdzWVB2bXlldUplRVdVdVFJQVZXdE9OXFxvdVFrWFhrdG14RnBwVXRQcGlQP1hweTx1PkhLeXV3RVFsSVlXYj1ZTGF4dmVYVHFXWG91QF9rQmdnbT90QUZqZl5eP25la1d3O3ZmZXF0Z3BxZW9uYkBvQnF0aHR0UVRgb1Vnc3hjWXRhZ1NFXUY6O0J2b1M6ZXRsR1dkTVdxU2luRXdxcURVU2VcXEVXY1VEZndUaV9kYD9CUll0VFNFZWlncG94eGd1d1dZcEd3XXlZal9kTk9IdXlFeVl2eUl4ZGtGQltWV09iZD9WZGNJZWl0Q29jZz90SHdFZ0F0Sz1HTWVmZm15dkl5eFlTPFVkbDtCWjtVTnl3cFNXUGFHdUdYXXFiV2tJdj11ZFdneUFXUWtHVnNXdG13Q2VXRFtWd19JSmd0T2l1a3dSSW9HUkFiO3NjZ3lSeUt5Y3d4WkliOm10Yz9nQ1VUQXFUYml3QGljVWNZY1FoZl9nRnloOllXcWlmdElWbl9yQz1HPTtCPlNiUE1WPFNmcWtWRkFlW1llUm1IaW11ZHVkaGNlald5cXl3c3VZYEFmO0VXcEtYXmFDVXdIaW1naV1HOkNiZldUTGllV1VTTk95XztUYlNUTXdpYFFyYm11Rm91cT9Za1FWVGN5OztCO1lDOkN0S3FJVm9UcUNlcGNXVHd3amVHaXNHcWllZWdXU2lIREtCUz1VTVVWZm9YPUVXQWlkPEV1a1l2QWl5T1VjZF9WZElHPTtCWldGYztjb29WRj9DQltWV09UWG1VWHdHWU1nXFxrZkB3eXNXWGFxaGRtSUc7Qjo7RkpHZldDd0ZPaXF5dXl1dVFPSFNvdUk7QnJlVXQ7Y1ZVc0hPSWlPSF1TRj1XVnRBQ149V2VjY3Y/Qjo7dm9FZ1dpUl1jZHBdd1JJdmF1RmU9aGtvWEFtQmVtWFY7Q149QlxcW2V0dUc9c3JOQ3diUUVgeXhbS3RjXVhMT1JSb3ZWTXdqUXlBeWNZU3loZVlPRXNuVUI7X0NnYWdkT2dkSXc7UXM6XUZMWWd3ZUVZWURSTWNLUWR5Y0Q6W1J0WXg8SWVtc25gaXNVaHdSSXBdbVRZdVVpaXdpTFloQFlyQXhbdExCQGJnaWNdSGBIYF1zTnZJX2JUYVtaaGs6XmRAPlxcY194ZHh5U2l3dEFiXlB0c0ltZGlcXE1ZeDxwcmBmZXZAaUt5bU1eeFZBbl9QY0dAZERpc0dpdjxHXFxCQXRYYGhKRnk7WWpBZnl2WWNTP1A9Vm1zVkhheENxeU51Qjo7Rmw/Z0RrWHVxeGdVTXFxV1ltbk5Jb2lMWWtQbl1NeW5hdVpISl5hT09NTEJBTD5MT0N1dmF5Zlk/Ym9xWnZHeV95bHhGdllHcmZWX2VWX2J3amxRWjpOYkVwbT1ub1dXcWBXdXBoZ21oZXVwaFNnZl9nbml2Y2Q+amNBW3hmYWleckF5cm1HbkJeZkJuWm9ZWkZYXXFuc2hxdXdYZ1FwX1dPeHhAWm9ZW1ZZcXF3c1lHW2NBZ0Vmc21WWjpeaFhndE9pdHBvd1ZJYXl2W3NBdFtkaWFnTlVFRUF0W1B5S1lZdExLQ3BNXUF4TWR4bXFOVkd2W1hlcXBnUGhtV2h3XUlgbl9xP1B5QF54cEBvYnRMZWhkW1Z0S3c8dWlSX3hPR2Z3Q3d4b3hHeUhZQXljTURUR1hed1RYUVlva0NaV1ZjRWVsUXI/V0NwSXlheWV1VXh4b1lZY2hFQVV3UVZlc1RoX2hjU1RgP3ltZUI8eUNJP2dbbVJ3SUJNa0ZGPXhKbWZjbXlBa0NWO3hfVVN3T1VMQUY6ZUdhbXNUZ0hFUXRNWXRzTXI+VWlLUXRCeUl3WXR5Q3l3aXdhdUl1SWV3aXlZeXl3c2c6SWJxP1I7W1NVV2luQWlpd3Y9Y0lRO3dGS3NfU1NQP1llUUM8eURPS2hqY2RSP2ViVWJBc0NweUY/ZVRpW3RZbVRLRVRbZWI/Z2J4cVRtS2VOZXJaaWRMS3U9T0dqT3dNRWlzVVB5ZUp4RFdMYU5IXWw6bHVAWWxwXVROeFQ+YXhQZVleTXdRVFlpaXFxYU9vZFBPWGtNbHZiRG4+SFliVFlxaXVxZU9fZE4/WU11VEtETEt2PG1nYXVzWHRoYXVzWFZlbFRmQHhYWFBYQFE7PG5tQVRlTXNWSFFtXVdeQXNLeFNZPW09QFJAeHBGdXFCWHRheFNxaVdIUXVwYW94dE1PUHBJeW15dFc9bWpGRHhgdFM8RE10VE1HcVVMWWtJZHU+dXhrZVQ/SHdXYFJeQHRdbXFoPU5KSE4+YXZeYXZyeU9hTVVUTW1JYW5LVVZ5UFlHYXRhbUpubVBkWW5LZVJSdU86XVZmQXVrcHFOUHN2bFE6XFxKbFxccW9NV2hhS25RTG5hd1NZdEB4S1lsc01cXEw8UFJVYXdPeVRwZXl0aVh5PHNySXRdeFJ4RE1WVVBKUFBtVFA9cFVnUFRaVHRIVXBHVE1wPHlZaVRjbFRZVU1xeVg+WFBPbVlvbHNCdXFJXVR5QEtePUttTU13RW5fXFxTWjxVblRKY2FyQ1hMcF14YklUaWlVdkRZbGFuSWRuVjxQWj1qUUVvTnl0cnRYaGFVWUl3ZWhVWj1KVG1uQGRZR0BQTEFPRWRtRFFuV1VsZkBYSjxjOllbY0lrPFdqYmZ4XkhuYXZbT2dyblFaOndvYllrRVhrZ2d3VGlweG9uWFB5UnZxeWl5aVl4ZHZdYkdqZFBmdEdibW94ZkllWUlzdj95aklmWUleaWhkSGhmRXFsS0FwST9ePV9eSllqOnBtQmdwdmBya1hjYmdbR0BlU3lwaXdtR3hdeW51eHF2aW95QHljQkB0ZlleV3lsblZuZnlgeUh5R3hhY2BvVXdwSHlhQXd2Y0lkX1ZaWF9jRXd5VGhdY0BcXHBYZkFxW3VQaF9Ra2lmeFFpdE9JeUVQXXdoXkpIXFxCQVxcO3ZbPk5tdHBvQT5aZ2FyTnF4Y2dkdT51X3BqUEB3eFF4cXhpdXlwcHF5dXl3eWZhZXZjd1lrdF52WHdjWk5dXFxWb2RHdU9Zb1FnZ2xhdkNxeUR3XTp5ZXlAXlBJXFxyV2lwYXdreVxcbUZqbUBfT1laZmhueUlpbXF2a29cXF9GakZGbDpnc1JRaT9vbl94Xm9OZmVvbkdwXT5ecEVXbGRHXVhPeTpIdG5hamtuZkZBXVVQYW9Pd1lnYVM/X3JnW1VuYEZ5d0lPZXhHdGVeaU8/ZkNeZjp5ZWJ4ZEZnZGtmcVpudEZBc0V4XFxpTnlsaG5Ad3Bid3B2cF1FaGBzd21rZ2I+TmA+P1t3Pl5iYV1GZ2E7cXVySGg9cXFyUXZFdm9iP3c7QV5xdmBReW1mR29QSHZzT2VYcXRMZm5kTmZpTm49aXdvV2RKVnRGQGB3Rnk6PnlFcVtEZ3dIbnRseHF0R2BPZ1xcTXFzWmdgaVlnRkd0PGhaRV5pcV9hQl5GO2N0WVluPVNnT3l3XVRHQXRrVVN1dXhoaXhqbWZKbXhIWUlpQVV5cXFNZU89eXBibXFXUFJTdHZeUEpnVW5ESHBgXVJkSVBRZW9cXExuZEl4WkhSPWBxUVFUYT1MZWhXPlxcSmxcXFJSZFBEcHNSSFA9eVJPPG9mbW9RVVdUeE5fcHlZeHV5cWl3SVpdb3hmSXVOV3M6Pm5XPnc/cXdgaVN1d2lfQ1ZLQ2hHYkBRd09TRW9LT2A9dztAUlBEd25geW5JdkF4TVRBcjtYSndpdFVwa1ZNVG9gU0dwbmRZUE09T01lcEZwdWw8SnJlWXRdS09JdTxRWXZlVFloblg9TGVJeG9pVkV5eVo8bFtMSmNgV2h4SkBgd2ZhV2l0bmU9dmFwVT9pUVVlT009eGpgV3M8Sjp4amNgTlxcQF5rcVpkcGxLQW5HPlpnd25XWWx0X21PWVtVZ3BGQGdtX1tPR2BKPnNqUWJEXmZZZmluSWxZTmNoUGdTP25xYGNVT3BvUV9Id2JcXEFcXEJBXFxkXnRJcVxcYklxS3ltU29kQT9fTWl5TWdbdVF1Q2B1Z1hlcW5fQj5bXj9nc0ljSGdubkFyTG5uQG5cXGRJaj5nYUhGY0NHY1Y/Xj5gWm9BdmJfYjpwa2NPbEtWXkA/YDpwXFxpZ2tIcWRPcV9EcWxkbkVrU09dQz48V01keHJcXFlxWXFZaXhkRW1wVVZkSUtJaG1vPUtPTFlMVXRMeGtoPXJVYUtcXE1Rd1B2YGlzVXB5XFxtVE95T2RkcFo8bFtodWN1TmBQTXRJSjp0WVtQV1JlWG9lcElxV051c2dwVExcXFB4UHZBdVF0SUxheXA8QFJAQHRyZXBiXFxPV0RKYmFvblxceFJVTjxwU1dQUV9pV1dMbW54b09dSndseVdgUXNNdEFYcTxcXEpsXFxxb0xtdHlZc1F4X3VLXU1tZ21uW0luTnB3dXRLb3RzZUFXZ2ByPmFSaWl1dEV1QlxcbGF1UUlVcWxFUVJETVdoajx1bFB4Tm9IdUNVbHBpWGZhbVh0eG5BUWFIVUdIT2NET25oWDpAYml3bER5eD9mWj9ueFl4eXN5bXhRX0tXZGFodFVZbFhwbWhpaU8+W3lPdV5JeEl4eXJ5a2duaVhwaGRxcGBZeDpAaHRfaU1JYFpPZVhgYWxfdkJ4amtmXXd2XnRfaU13cWdwdkVIZ0xxUVVTOj9SQHdoQHV2T2t2YXl2dWFGZGVJakVXWl93Y1l0YWdZcW92QklkXWN5Vm9IcEdZPTtDcWNYb2VYeWVodkNnUWNlZF9iY11ESm9YWVdHQkd3PztHPVdoOz1GPVlVYU9UeG9VU2tjWGNJVHlFal9UUHl0ZUNTd0lZbGF2Q3FpPmdmV1FlVG1yXFxVc3E7Ymo9Zj13aUlhZXNTVnVrWGZBeFhBSG9DeEFrZGFjeHJtZkFpaGNVdGBHSEg7Q2dxRmR5dkc9aUY7WU1LZ3hFV2NPV2JBdFtvRFVTRWV1U1hfSWtxdUR3YklzRXR1VVNpZkV1bD1YXVJIb2FAY3FOeUVBWj5QcFxcUG5cXFZlcXBnV3hbQHF0ZD5qQFBmZUd3WGdfU1ZvUGdPaXJgU2JsR1JaU1JCTXdXWWlxd1NcXG90PW9kRE15VGljXj9WUG1VWG13YV1WZDtlY3l3ZF15UXV3P09TdmFCbVtpaGNHYUNnZEVmcU93bUlmW09FZ1F5XkFFT2N2SWdVP2diP29JRFFSO1tXX1FzT29IeW15dm1zWV9CO19DW3dTO1NTSWtUZGlFZXl1eXdpeWlVST1lb2dob295WnFYaGF1c3NZOldUclV0QUl3dT9yZUF0bENpaFlTZG9VYjt3RXVpeGV5UkNpPG9YXU9TeG9FWV9EbnlmSXVlaFVzUXdHcV9nZl9HaFlWQktFWE1UXFw7V0lrVk1zRkhdeENpdFRxRXg9eFpJUmlJR009R01Jcl9pRl9jRnhfS3JlTTtIbUlVV1Bhb2t5cWlwVXdQdVldSkpZbkJGY3dIcGR3clppal0+W14/W3VPZzpobXV2aGh4YVNPZ1RocGBQZUFua3dIZE14YTpeaF4/bFF3Z2VwYFhmeGRpdGVocmNQeWZWaj1AYkBwY0FXYk1mZGx5ZEpWdGxpbmBfbDs+YkFvWmtmbXNGb0tmYWRJZ0dZc0VZeFhAYGRQb1o+bFtOXmN4Wl1ocDxWZGpIdU9IW1ppYzxAbWBfXmRfaj9Jbj13anY/cmVwdWloa1pOYWV4ZD1oZTtKckVLb2RXZUlKTmVRYU1La01vYkh3cmxOVExXO1xccGA8a09dVE5dUWdAa2d5dXl4dWhgVXNQeG5ZdnRFbGF4clJkU1Z5TkpIajptSnZQalg8T3FoV1Vxdnd0VmRdb09BTEBJTF1sUnJZamFQeUxBS2A9SlhdeDxtdztZakFsVUtUVEpUVFlRd29YV1FheXdRbmtVUVRpa2VIbUNQWUZFdGBYTjpAUkBcXGFXdnFud3hoaWVZTmBVPm1bb25XcWNUT2ZKSWhfTltgT3VOPmJNaV86ZmQ+YXRieG9fQWNXVnVgQF5gUHdScGxfZmJPRnBOYXROd1taT2lGRkRRZ2BvWTo/UkBbaDpVSERhSHBTUklbZnQ9Vk9ReD1vdlFHd2BndkVlQ2NddEtlUz1rQkY7eG1PSFNxZEhbUmhjY0pJdHNVZFl3WXhJaUlndEtjeFdPV0xvaXBbRGNBZ11HZ011ZnRZVkBDUkZbQmw7ZkdbVEdTVFJRdDptUndPdU9ZZ1hlRz09V3NLUkk7aXlteW15ZWd1dXhnWXBrWGZBVVVzSXhdaVlvQ1pnZkJrY2xDQlxcc2NwTVNkT0VQZVRPZXY7XVNBPWljaVJXPWZcXGtma1dJdHVFOj1GPXBKb0lrYzxtY0hvWUVyRnVKUFhXUjxvUFhQT2F3aWhOR2V4U0h3d1FZOml0UmVLZ3RWbGhrVzxranhObEB3YnVZZkBtbkRXTHhUTmlYPlhtPEBtWFFvRHFLSjxzOnBYWnhUdlB3U1R0R1VzSExXbnlRa012Pnh4RUBPUkhXc1RURWlMZHBsY0h4WUBSQFxcWFhEaktkTGdkeVh1bl9oblNRcF9Vc3ZZeG9gUkN1WWM8S149UkpEV1NMUk9AUGdBbHRxdlV4V2ZBeWtZdlhcXHNsVFBtZFdqQXY7cXRnWFVxbE9MXW52PFlvZFFbcUpkeE12RHlwbU9EPFZ0PFFYZVRqWVlxcXdTTVI8TWp5cVl5UGtUaUxSaWA+TmBaWGpjeGVmR3dMaW54YF9bQGRgeFpdZ2psXmJAZl9hV29pP2hwYXdTcXlxZ2FTV2BEZl52SWdRZ3B0YWJFV2NFZ2k9dmtISXJPQXVEZnBmPm88b3NsWV5CXmY6P2tkWXRheGtnPmVqQG5PeW15d3ZIaV1ZYHVnSGVgT2lPaWM/Z192RmdzUWNFeXR0SF52SXdyZmBPV3JEUGtEYG9aQG46eWVeR2dNdmNab2lSUGJTcGFQUWRPYFtaPmw7RmY6V2VdeWhnUXVfeW90aGBmb2BqdnNGV2ZtXnBPbm1dSW06cGtdQHBPR2VTR3dpTmxOcWhacHVKZ2prZnNNVltKZ2JGd3FZUHFPaXRPSWhLQWJaVlp0Vlp3PnhZX3FyR3RJYGZMaWdhcXNXcGxNWGxdV3ZAaWttQWpgaGZKZ2RWQWVQRlo8eGJFUWxUYWtdaHVKZG11dnZ3RE5FYmZJdF13al1Rb3hNd1JgUHdxUWR1dl5wWXlkWEo8cTxFTTo9Tj1MUTtkUENUV1NQVG1pc0RRc0RheU9JcVhgS25VdGpBU0dwc0phSmllWXZET2NEc0lNSlo9dmY8dHhgdGw8cGF1c1hUVXlwaXlHbF5Galtub3RpcU1hYndncUpPbWpGZjx4d1BgdnE/XFw+TmBaWGxLSXlvT2lPaW9RZ3ZUVm1bWHJAaGhgb25UQGtvcWRxaHF1d3h0SWM6TmVIYXRCZltvbmtld2ZhcHM6WVpqcXZuSHk8V1pWZ3B1T2R3Xm10R2xOPm9ASG9Mbm5RbmJ3V1lFaUo9Y3JDVHlzVzxpVjpdZko9aExxV0ZlU3F5c0dpc295VF5RWT9rZ19NRG9haGJFdT5lSWZLSXVTVE9XSG9TbU1kanBESjo8V1l4dTtleG1Nd3FhU0dNeW1wVkdRcHFxdXV1c2B5c1l4d2dYSkZddEFdblxcUFJAQHN2ZU5MYUw6YVg8PGpoVXhgaXNtQUpgUG9TaXZFeWx3UFRgcE1RZGptZFFzPVhWVExqUVhkSUtNUXh5cFlhXVBJbFNPZHZQcFhpVFdDTXhZbHlbeU12aUpLdHFZPUo7YEtqTVdabFRdQXBgZHlleG4/ZUt5UVF1VFQ7YVNBdW9iSVNdaE5kcG9jeEtASFVSPWtOQExgWExsXFxUX1F0RkFQd0Bsc1RpU3dldF95WllqSU5lVkhbYlBrbWZkYT9qOkNpW2Y6ZWZgcVlnY2VGYWVzU3RhUUZjRXleZ2ZKZ2Zqa2ZhW0Z3Q1Jjd3g/VWU7W0RsQWVYc0VWTWloUUNAS2ZEd0ZRWUlyX1Rra1lwW2JjT2dmR0hPS2VLa2ZHU0hcXE9jbW9CdE9IXkdFWjtkO2N3PGVZX01XaHlXR2NJO0VXQUFlYEFHY3dGQFVlO1todVtTT1FCP1doWGlpdVVIOm9oV0d3dk9SR09TSmlHSltCbmVzYz9UcHdZQlN0d1lVcVdVcW9XU2liRXNEdlVURml4ZXl0d3dpbEl3TUNTTT1FUFljSmNzbVlDRndnOjtSWlNCdFtkYEtjZUlzRFV1c3lTWF9xaU1ZXFxNdGA9SmddTUJcXGptZHdgVHRsZGt0bVZCbEtpbVJPSXA9dEpIPHVUaFBlXXlpWW9RdW9wWXdHQWs+cHhHVFZheXNZeHhXeHJkYGpPdExRVFltbHltSE5GdU9wXFxwXnhvRFFwaHl2dEVQXFxwcnY9Sj5MUFpYcmNFcWZkT2dkc2VsSmRgTmI8bWNVVXlwbT5hWE1ZTFFwbWpgdEJhbz15a29NUTpweWhodkdtcmM9Tk5FV1NMVE91dUdUTXBcXFF3dW08dG9YXVRiUHhlSFlbTUtbTU1NRW5rQVBmcWs+PEtePXJVZVB0XXhidW9EPFdzYVNHaHNkeU5NdWtHPU5WSG9MQW5kUWpoTVFXPFJFVVFtbXZGSXBfWWNxQWhAXmhOZnhWSV9iR288V291SXZlQF9yR3d4SW9qaW5NWV9OR3ZPWVtJZnFiQGRfXmNFYXJWUGc7PlxcQkVeP3dDaVM9ZUdvVWdjR2drcUVVY3hUQWdrSVVbYVM7YVNHQ3R0TUhOQWM6Y0d3YWhgR0NXdVNaT3VmPWZkW0VKcVR0d2VjT1VlV2VoeVhUa3JkV1J0Z2g+b0lnTXVud1RoQ3hkW2hjd0ZMVUg8YWhmQ2dfeVhvaVRsR1k8O0ZKR0JbRVJ3S1ZUc2RbV2V0ZWVuS1M9ZVRtY3VOeVdgV1ZVX2hOWWZtVUhVTWZtcXlua1k9RWJpO1hNdVlUb2VCRUlGY0VJUVdmXVduUVdmPUZ2ZUI8O2VYXUVicWZXQWR0d0djW2ZHRWVsY3JpWWJnY09jWHRnXFxYPTxSWlJHZWRnY0NEYXRnbXJGR0VYZUllQ0djQ3haZXRMcXNFQVJdUXlZd3l2eVZpeXNLVXR0PVZSZ2dkW0VkPWdQPXlNeXJucWRXX2VLR1NxSUdHP1dLQVZQZUJoY2J4QVI6QFJgaE1jeHV0PXRJcGtwUHF0UFF5YVlAWVQ6XFxKbDxOXFxET3JEV1M8b29cXFRbQXRNZG9QSFFvVXRZaFhWWGxieG1BZXl3THdjSUtWYXBmYG5qbW5HUUpGZHVGYE1kaVNWdXBoZW1xPHZlYVVQeVZjUGtkcFFpZFRPVUpPaVRPbVZVVVFqQU06RGpGPGtyTXVvSG9aZW5XXFxXRHRWVE1rTGVWPWVMSWRRa1F3YGhVVkhKZEBtRzxNajxyUGVvVGV2d0lSQnRRVG1YTnV1WnBZcFF5c1RXUWxXRWVrbVFvXlBXPURraHlLZFl5THlxTTxLWk1xST1vVGZkT0NQZXV5W0RCQXdDXUJCW05uUGxAUUtibXFQYWpDVEx2RXlDVXNKTXVaPG5HSUpEdFZkUG1jRXFkPFBVTFNVdEpudEtHdU1lRWtYYHhvYU5oeE54QXJNcHFYUXBmSXVrXFxMcGBMaGhYTXlzWjx4UHVRSWVKZWR4V0xPbkRXQXRXRWVRVk1vbkVXYVluaHlMRDx4dHh1YlxcWWNxbmRMb2RIbzo8S149SlhBalhgU29hbmZYbWJcXFdjRWtEZVk8RWpLTU1kaUpMWUxzcFdkaVRFbVNIbVdrWXdkSVN5VXVwaFd4WEtOZUxOZE9tTVdwTG14WVlEdFY7QGpQPHltcFBLPFRPRVl3TUtHUXFgUUtHTUtYRWo9QXFPXFxxbkhzPVVzS1F5bVBZeFBKTTx4T1xcb05Fd2RFT0pIV2ZkclZJcW1lV3RheGNxeWlBWFJ1UDo9Tj08TF5NWTxwVG9cXFJxQGo6ZVZGVW0/XFxwXmVkbWhzTmddTUlgcnZiSGBdc3F0dWlcXDxhcF5oXFxCRmc7WG1kQGB0SHdDdm14YXBgUVtRUG9GUGllcF5zcWxAR2JieWZuWGlxcWdVeXBpd21BeF8/WHBhWW1nWVpuWWBOP1pQWXVQYV09X25kcGZld2tzUVo6P149PlxcXk53TU50Z0l1SnB0TGZhS1l3Q3ZlO3ZjRWlmO1hidGhkV0hbTm91WHhbQ05vTmFpdkl4QXFgc094XnFcXHlwcGR4YXRRZUROXztYanlYWnlvdFFRaUtpd2d3a2tBW2ZWXmRZeVBpeEJeXVhjYnlzdGFpOlF0am9iPFNXcz1oX3dnZ2d2YFljUXNHdHl1b3l5ZD9Gb2FXT0tISmVkRltIWFlHTnNocFVCQjtCPENFOj9IXmdWR0lnTXVmdGVyRWVEVWNUam1lZ3lWTD1nTFFIVT12YD9SW29ibXF0PkxVdFV1bGhWRXhqSWRqRUByUm1Ld1ZtZHhhRFZeO1hteHFvQF5oT294VE91c3luaVljRVFpZEB4Yz5cXGM+a0R0VFFyPFFyUWtUZF94WUF0UWlXY09oYXdnS3dlWXd3PWNZPVNJVXVVblVZcHdXSXVVcVliSWtJYkVISkd3dDt3eXlTWXdmWmlmZUlmX0l2OmVCTHVJSWN1PHNWWE9YUElHOj1GPTtEO1t0aWtoWkVyPHdXP0dEP2NFR0loTHVTTT1mWUl3U3FpYWNiQ290Rk9TSj1pdU9YX1FjV29Jd01pT3l1SU9yRHlGWV9ZXFxVaGF1c3hldmFJb3JIWF1xUnVsWGZBdU1BVmNMUT5UVXF4TEtlcGNFd0xpblg8UlllUjt0d2pJdj1xcHNVeGBxTHl4dTpJd0NMS2N4c1g8cXdRUEQ8VmRgT2R1cmZQSlJwcWFsc2tkSjo9Tj08eFFFajtFbmJpVnd5VmRgS2NQUU9RbUBIWD9kTD9kTkdQVXJtWUN5d3NpbnlkSlR0WVpMVz91TVBAd3U9VGJddHNIbmdobkBMeWF5dm1lcUJQT29Nb3JIb0NteXNpVlB5dlFwVW9JcTtodj9xdFh4UlQ8bVF0SjpcXEpsbmVFP2ZzSHBvXlxcSm9kaGBlY2lpXndvVE95TWd0R0daRUd2RldxPVdlbUhlOkduQldjdE95dnlmY1BmTz53PVdbVlFaeXdkOlFnY0FeZ0dkOlFdb05nTll0O09vO3h5YWdqSnlmUXBlb3lmSGZ0QD5iWlY6X1lyVXRMYWVoZW86bW5EbGx0XXROXFxYVE1uamVuXTxvWGh1OkFuWml4ZmVMZUl5ZHFsPFlUZW1SO0BPSmhTVGBQQ3lXOjxSWlRKSkRQbmB4UVFtPW10PVxcTFRReGxReHJAWDpMUVdscGxBSjo8Sko8czo8Sjo8S149Sjo8Slo8bDs8Sjo8PDxKOj1eOj5aOjs7UlpTQjo7QlpKOkRqRjxKOjxqOks6TEpTPEo6PEo7WkJKOjxKPFpKPlM+O0JCQjpbQmxCSkpKSjo8Qj5CQjo9Pjs+PEo7WjtcXDpeOmI6SmdhdnlBSnNhUXZsckhkeVRRUjo8Sjo8al5QTmFMXjw/ZjwzPFwiXHtcfQ==LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIjNSEiIi0lKUJPVU5EU19ZRzYjJCIiIUYqLSUtQk9VTkRTX1dJRFRIRzYjJCIlNUxGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiVxRUYqLSUpQ0hJTERSRU5HNiI= Vi ser p\303\245 energien af et matematisk pendul med massen m, som h\303\246nger i en massel\303\270s snor. Afstanden fra massens tyngdepunkt til oph\303\246ngningspunktet er d. Vi ser bort fra luftmodstand og friktion i oph\303\246ngningspunktet. Vi kan derfor antage at den mekaniske energi er bevaret: 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 , hvor v betegner farten, g er tyngdeaccelerationen og h er h\303\270jden over hvilepositionen. Vi beskriver nu positionen af massen ud fra udsvingets vinkel, \317\206. Det betyder at pendulets fart er 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, hvor \317\206' er vinkelhastigheden - alts\303\245 vinklen differentieret med hensyn til tiden, t. Desuden kan vi se ud fra tegningen at 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 isoleres h, f\303\245r vi at 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 Nu s\303\246tter vi udtrykkene for h og v ind i energiligningen: 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 Vi differentierer nu ligningen med hensyn til tiden,t: 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 Vi dividerer med LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RJyZzZG90O0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUYsNiVRImRGJ0YvRjIvJStleGVjdXRhYmxlR0Y9Rjk= og s\303\246tter LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnJiM5ODE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIidGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4xMTExMTExZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRictRjY2LVEifkYnRjJGOUY7Rj1GP0ZBRkNGRS9GSEZMRkovJStleGVjdXRhYmxlR0YxRjI= udenfor en parentes: 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 Denne ligning har l\303\270sningen 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, som svarer til at loddet h\303\246nger stille og l\303\270sningen: 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 For sm\303\245 udsving er LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEkc2luRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRJyYjOTgxO0YnRi9GMi8lK2V4ZWN1dGFibGVHRjFGMkYyLUkjbW9HRiQ2LlEpJmFwcHJveDtGJ0Y9RjIvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZTLUYsNiZGPEYvRj1GMkY9RjI=, og ligningen bliver nu: 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 Denne ligning har l\303\270sningen 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, hvor 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 det maksimale udsving. (Her har vi antaget at udsvinget er maksimalt, n\303\245r t=0. Hvis dette ikke er tilf\303\246ldet skal der l\303\246gges en faseforskydning til i argumentet for cosinus.) Denne funktion har perioden 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUrZXhlY3V0YWJsZUdGNEYv ------- Kr\303\246fterne i ligev\303\246gtspositionen: N\303\245r pendulet passerer ligev\303\246gtspositionen (det laveste punkt i bev\303\246gelsen), er 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 og dermed er 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. Her kan vi alts\303\245 kortvarigt betragte bev\303\246gelsen som en j\303\246vn cirkelbev\303\246gelse. Vi kan derfor bruge formlen for accelerationen 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 . Den resulterende kraft i bunden af udsvinget er s\303\245ledes: 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. Fra bevarelsen af mekanisk energi, kan vi udlede at 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, hvor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYmLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRJW1ha3NGJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRicvSSttc2VtYW50aWNzR0YkUSdhdG9taWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y2USdub3JtYWxGJw== er den maksimale h\303\270jde. Den resulterende kraft i det laveste punkt, er alts\303\245 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. Hvis vi sidder p\303\245 en gynge vil den resulterende kraft stamme fra en normalkraft fra s\303\246det og tyngdekraften. Normalkraften skal alts\303\245 v\303\246re st\303\270rre end tyngdekraften, og den vil v\303\246re st\303\270rre jo h\303\270jere vi gynger. 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. Denne ligning kan evt unders\303\270ges ved hj\303\246lp af en kraftplatform p\303\245 en gynge. Kr\303\246fterne ved st\303\270rst udsving: 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Ved st\303\270rst udsving er hastigheden nul. Derfor er den resulterende kraft langs bev\303\246gelsen (vinkelret p\303\245 snoren), og 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 og 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 . Hvis vi sidder p\303\245 en gynge svarerm normalkraften fra s\303\246det til snorkraften, og den bliver alts\303\245 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 Hvis gyngen gynger helt op til vandret, vil normalkraften blive nul, og vi f\303\270ler os et kort \303\270jeblik v\303\246gtl\303\270se. Eva Danielsen, N\303\246rum Gymnasium, Oktober 2023.