OSCILLATING MOTION
Swinging from side to side, like a pendulum in a clock.
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aTbsUfsBcdQ3sdWBYyfoR77LFHML/jWv2ej7CvgfWnP/0pO+6448KeFU+Ad955p9eYVWhvPwBLR8S6rbXWWoFz3XvvvT05Fnkb3dfAIn7YoHRgHOtUr5Z+AZYtDwvdHHPMEVLM9XM+wr4FFn9Ax+7IDygHey+XfgGWMZCP0GklLLSnn356Lw/LgG3vW2Cdd955wcNiyy23DBvDA1Kh5H/2E7BiPkKbxva3+vU4oL4DFmsTp8/1118/iBw///nPS++9Phiu+wlY+up4JFyLlVDKuV7w1xxsjKr/7ztgffDBB8Ef0KAxr8vA1Oul34AFSAIihfHb25J6rhettQPNq64CizKLyHz2Bnq5xrWDFdzqqaeeCgO2yiqrZA8//HCu+wart9v/9xuw0BOQ5COkA4uNq5WP0HhynLZY8o53qPrbb789wcvvLL5M+jw93GPOdBOsXQMW4wJH2Kuvvjqkzrr88suzWi956viYMdUOZi5X51FHHRXcZ/bdd9++ETH6EVjAhVNtvvnmQSQ0xpVF8CmPeJ4yhx56aIhGkJ9E1l1O1JUvyWvkNbRPduyxx4Z7rrjiirAp/cYbb1RW27HPHQXWq6++GsAk0HDPPfcM2XzkRuCg6dicWi//yUvBZM4tSWyPqFQZgf7yl798jFDyrQsJ2WijjUqZH/BjjW3gS78CC0eSco6rmbEFNGACMslo1l133bAH+fWvfz379Kc/nU000UR1X5/4xCeyL37xi9kss8wS7nGc6+qrrx7UAclY+Yo6uKFTpe3AMik4Xt58882B5Vt1Zp999mzyySevS6SBCOi/r33ta9mIESPCGU0GQvCiZ+BSBunCCy/sFP068px+BRbiGbfddtstLLJbbbVVtvHGG4eUCZNOOmnT86N6/gAdJ2CBl0DLuNXuwwTbCizy8GWXXRaOeZl11lmzqaaaKvvsZz9bCMEQHsAQzG7+hhtumK222mphherkytQJZPUzsJxrfNtttwWpZIoppsg+97nPZRNPPHEhc6QSYJUcjURz7bXXtjWquS3AAigyLjciPnpFgamSUJWfJ5lkkmyyySYLsjqdrd9KvwKLUcIZW6K5LZKVY9rOz6QlVmPip2xd7SiFA0uGHvn66EvtWHkGIvhMM80UxEHOtu+++2476NWVOvsRWETAM844I1txxRUzC+NA49qu/yz4VBP6F7/SIkthwGLFYd7eYYcdsqmnnjrDettFkHr1eibOxSDCmjSYFbFIQrazrn4Clm2TqA9bCLsxTyrnz6c+9amg03GvKjLhTSHAYt2hFEI/Paqy4d34jFiMGPZHumVuLRJo/QQsab132mmnbPrpp+/6PIlzE7jnmmuu4FhQ1GLcMrBwKnIyw8FgJtHYkU69GzxJTKyQvVz6BVhAZZuFRNOpOdDIc+aee+6Mj2kRnKslYNnZ5pqCU1Waz4cPHz5+T2qhhRbqKuCmnXbazEmDvRxY1+vAItHwD3So3wwzzFBKUAEgScf+l/3QVs3xLQGLWdveADNpbBivZZu38kx4CROQdZZ5PL46LVdzmxGe3yvpzqq5a68Di5X4rLPOClsjjXCQblzLoMGBm1dQK6VpYMXkl3bFIwGEwDthorrgavaz4ovFMN7TifdPfvKT4fDpO++8syc93XsdWKKFmbe7Zf1rdI59+ctfzvbaa6/gk1g9l/N+bwpYQHXDDTcEz+TKRvN8yFP4BIrsrby33Z+5u9gYfPbZZ/M0sVTX9DKwSC0mqcWt3WNcZP3UGfPUXG+mNAUsmY6cgVTtdsI1JW9h8CA28u0y6YskSr26vvSlL2Wnnnpq8JbO284yXNerwKJb8Qtlcas3JmX93dzmn9psVq+GgcUKCMnf+ta3JiAWfStvoe88+eSTIXkm82unCEzf40LTS6VXgeVwP14VjAKdGt8inzPzzDOHuW7ON1oaBhZjxGabbVbTTSmvKFjdSOKZiNJODMDnP//54DmdJ76rup3d+t6LwDIZ+eOJNihysneyLlzLXMcAGi0NAQtrZ+evZzL93ve+F6wpJkKjxeq2zTbbZFNOOWXbB0I7HZDAAbQXim0NhiGvbgbvNUIr4zl69OiOjGc7wWauX3DBBY10PVzbELBef/31kH+7nrkcwrkTSZLZTLExx3GXLvSFL3yhbQDjSuOAhOp4rmba3K57gF4UrHftjIF9Plf+167nt1KvBXjcuHHBVajeXGknGNRt/phHjb7cV9lmn0lijW4a5wYWnejKK68MG78DEYXu1Uq+OMriTTfdFALgZptttraAi8jJ+FJGdydh5kRjVleHCRCnxJcx9Hj57Df/2ci0l9is5aoV8Ax0L/CTbCq3YgaaM0X/Z96gj3nU6Iv9wL5nZZs4CjO2WejyltzAshPNOGEFqHxo9WeeDnvvvXchKcfOPvvscNxm9TOK+C4yuRnZOS9h815HZLKhfumll4boaOHlwtWXX375EFm9zDLLhG0Neytekq/4Tftd49r9998/O/7440Md6lJnN4tAQnOgna5LOIvASCeYVL/Mm1YK0U+dYvxsE1ggDjvssIa8MXIDS7Yjoc55J7Wd9iIKL/VaFsi87ah3nTrFjHXDG0McEv9FmXqlGuBnKRD0M5/5TG76VvfLvepQlzptykrQ0o3+Pfroo2HPMHrkVLe1me9c5nASga1e9LdGxbNG56M9OBHN3/jGNwKIGwlFyg0sISFWybxEsYKStVstDCFEH3pR3mfnuU5gnSQl8nB0shD1AJooKkXBV77ylZYAVd1XAFOnvSMr+u23395xbxPP5ADQqpWXfhNf6623Xvb8889nL7zwQnh1SoyXUJRjAXGwEUkgF7Aglcws53b1QNb7TmSR2rmZPYDqic4SRvadf/75cz+/Xrvi70QJmX1YBztR6EHkdCKG9MrVm+uxXUW+23gnNhIVTfYiFro8tKLfAHcrfZG+TiBkfMnS1elCSsMgHATPmVwb8lplcwGLNZCHOJbYCLFYsoosdvF1spE21LvWxCY2tepsmad/DDKnnHJKZrK0Iu7V68tgvxPJJN+RSo6XebuLoMHB2lTr/69+9avZqFGjwqsMm/hEwW9+85uhL8RQxjtifJ6SC1jM5/vss0/GMFGLIPV+k+nUpCpqpWRmltNCZytNovWeP9DvlFKcQ/aodhYxSIw+RM9Opyqo7L/+mhwnnnhiW7cZrOjHHHNMQ30FKHMLNyf6m7zd3sCnm8qHEfV7+qsIibwh/LmA5czetdde+2MxV5WDVu8zK5YEi/LFFVVYJ5mihw0b1hDIa7XRYLLGtaswUFCy22kdq9WvgX7jm8m40Wq8UT2a4YgsgnkXPpHeos8ZW8p0QIKc/1SPGGdoo5hOjovlKbmA9eCDD4a0zc0qoxIvIlyRRaLH5ZZbriVwEcvOOeecIps1vi7i8wEHHFBKzwORshYUKZmLLqQbOfMHA5ZD1h2zdNFFFxXdhJbrk1yGblq5QE033XRBV80L/lzAeuihh8KeSSvxNDhe0ftG9L7KzjfzmXJcdGE9kqmqUZ20mfY3c48UCksvvXQQq4sGlxWd6FsPWHw1LbRlS5cgPfn999+f3XLLLcFQUU1Xe1lyzdfKMV9r/uQCFlM7ka6VnBaMBTiM9GhF6Vz0hVbahAMXtd8WiWt3Xv74GWecsWXQVw9ukd/RjTGF90ZR44EGooVZISv1SZ+Nv5d9oU6ZyuOY1HvXb1ZrL23GlaaZZpqPtT3SnF5vXPOa3HMBCxjs8LcaN2UVsx9QlCWO648c380mBJVsRlRzUcXqf91114Vo2TggZX6nP/De5hZVFLgsLEzUlcCyp0bxZ5Xs1PZGnjE1D3FPr8Hcr+j02p+Xw+cCFrbN1aaobKXEQq43RRTpquJq0+gk5nvHEFJUcYQQz/mo8Dbanm5cH9118lq78tDKoRWV+jjraxH7mXmePdg19mTpdSQV8zAvze1j8ZTJa63MBSzy55gxYwoVbwQciu3K29CBCKYOHsiNmLQNPO8AG6dFFAC3UpfJAph30tgbtO3QiJPpQDSr3CAWBsRzgcdJNwvdz9YP0GtTJUfNQydRG7ZO8pZcwLKvwA2HNSlPI/JcwyKnsU4LKaKwwjEjk+PzPF/yfdl4itrRp6tY1fI8u2zXoIVtgaKMSzZ3ed4wdrEQmtD2ILtVgIpL1Hzzzde0QYmfbCOng+YCFvnbXlQ7okFHjhxZWKi8yZ130nK5YQ7Paz4daFLYuyEq91rClEpaEQmLMuRY2aUaFwlRVJ0D0b/6PwYGpnw5WLwYTCpF08p+5/lsP1Y9eb0utCcXsFyosY7LacXkXq8TXIuY9FstlFHGkTyWQhulvDiaiXaubKeVmMEC963Xv175HdeyKrcqnhOL6TE2VRlHOBi0q9BribGVLwatRkW9gcbIiTlCSRqJFMgNLGi189wOM7LVhOgg3CCvk2OtgdJx3s9C2AeyFLJO2sdxYF2rhe5g36Y6pYBnsKI2GsHqens9Aw10u/5jZLDx3qqhgYTDE53ngnFg1jcuaOXVSPgFkMb7qt9FJrDoxVi1+F608YiOSGJrxHKaG1gmPDeP6h3pIgdZIk9JNVstAGpnv17bgIDsb8+l1cJUDaTVz2IQwBFZHRt9UbDr5RWpfk6R3+laUiOYzK0WVkYimDpJEOYNgHltvfXWGZ14sAKMG2ywwfj74v3xnQFM/UXSoLouID366KMbEgP1KzewXGyFIDtXP7zI73Qu4RWtFpvH9dpl0rNcNSIz12qP+7m/cND0LFZJgJbOTf2tFCE36ql+bbLJJgNy43p9zvu7RQK3abWgjQWiOsxdO+ii+nXccccN+BJPlrfd7bguSlK1sjsPRp+GgKWyM888M+ONXM9lpYgO0ldY61qxJBFba7WF7G3yFyEGMnwwgNit9yzGnbwuL4MNTL3/6UDAFSNpWWoHEntr0WCg32yE3njjjS3RPrYdjdG6nXNloL60+p+tEyH5zQTDNgws7k3M1EXLsZVEYCAh77fioVHPj5D/nmy4rehyceIwT5s4gia1X37yTrjrGGgiqJc2iLWqpF8rn7nu8JIoQkxGY3WV1WdyMDoZT3OwmbnSMLAonsScThwcxrewWc8IyuZ+++33sUhW3EpmVrJ7EYXXv0kdgxctBt1wLuU8GiNtvYuDG2zS1Puf2b3IlAW83Z31225dqF5/mv0dHZyt1qxHSsPAMiFNHlyrE8SioArLt0Gd1wEygsaKHvUfXNAGYZGBjTyhiWLRtMuyyXLV7SJHCHcd7lWDZdWqnniu33LLLYNXTFH9eOCBBwLY27FVU93+Ir5rpw1lfo3NcCt0awpYzLE2Yzuxd2PSEjuBWGRqI5l57J/Yr0JskaCsO42Cc6DJJaapcnEBXPtxreiGAz0v738mg/05IGcAYFTJe4StSYXjFRk/R6zESYsITi0COAPVYb7xoLHt0Ih5vXpsmgKWSnj5yibbCZEwEsIemh31vIW7FECZLBR+hoVWNz8rn434UQzURrklyOVjx46tvKyrnxkQODzzzJbkP9Ky3juLHR9KYelFFROU7sl7oey+lBZi+UlalTyaBhaiC9vYeeedO7qhSfalOzm424tJt14xqWRFldiyGZNpvXrj7ybrZJNNNsFktc+Co5etiJZ2XCkxvh6wmJiZ3HlyF12knWbsqVyM6rWjG7/j6uiTZ49tMNq0BCyVR2K1GqvVLCFxMcYUCnz1S8o2+2L0s3aUesDSF2fZ4lzaVKT4WUQ/6J7oUsuy205gaTvuWX1mdbNjX+R9tkwYttCmiNIysMjzwj+sREVmPm2EaPbViKTVL5xDIGOr/oD1CA1Y9faQTFARqdrE9C+vYJlyrMuvz8CBe/CMiAYY7V5qqaXawrHQUWhKPBA+byRCI3OhmWupCzgVCawoVaFlYMVJZz+FV0a1z1wzHS3iHroOHagRv7TYl7zv6s/j8CuLL5827jncrcpStMXicMIJJ4xP80XHwm2L1LGq+0vnYimMLk9FjHezdQh2ta9ZRJRDZT8LA5ZKeRrTf0J04N8AABJQSURBVDQ2roDNdrjZ+6yCVlwTplVn0kpC1frMrI0jNeJZwKGTrmMLod3tq9XmWr/Zq4kWO+IhTlZUnFqt58XfWFDp6FKgdXq+0Kc4a1MXGrE0x7YP9l4osDzMES4y1lKAeRsTLZoFSSP3sfyRk50bK9CuKJY+EAGZpDmXenbetgIhrsAIQ0x1MkcnvDUG6gdlXUiQPSymeclZO7XRre8nn3xyCPcRI9fO+ULs1T8LP+mKV0UrJvWBaFo4sDzMCkCU4Edn07TdViATG5CZSXlVNBI3MxBxBvuP4cbhBpV7WXkB5jrmb3tfYpaa3eEfrI15/o/hNjaGuR8de+yxHTW4MG2jpefaG21kocpLb6E4OJT9NM/iFtbO/ca2ACsOJgWZS5KQeV4AOFheQuS5zgrHQMH1hBdEEeEOse153oGYl3bezdd6fWKyN6lFIXvZH+x0X/TXxLY9QYxuV6bcgej61ltvhYPiBCrad+TU3AptibU8Y1hAuWkJScqbZWmgdub5r63AqmwAs7PUwyJ8hw8fHlhyXrZv4hHzmNYNPJ88JlvZmexPdUtX4VHgAICinUxZGiX8rIyK9ZnVql3FZjo3HpO5E/rVQP3ASYT3Mw4RS421eWPjWio1sWosrrVenIiFBbnegfGcgO3JtcsyXK8fHQMWnYeFjveDgEkrMydb+dN5h9d7MYUiLFBayYWtkI3J5lafdrLzekSLv5PPKeBFHi8UuZqtCxbWypfcjsJGcLPqVzOLi3vUY7uEG5MFjI5aln032xPG2AJGVAY2e5ZCOSyqTOTUDS/fvXBdmbf0gUqij836+8Vxbua9Y8CqbByCUY5NSmfEAlq9FyLx+eMlLQ1bq64mle0o4jPFH/AbsQxG8DT6bhOe6CtHSPVLYGejRaChelhRo0GFWN0pcanR9rpe28wD5nEvC7VX/C6xTzeAVN2XrgCruhG9/F2kLB2yaHGwUdA5HZKT8WBRufF/omZ0UI7Pkkac2FRUfsFeHtdW256A1SIFrY50EiJUnKC9+M5yS7RqNV1Bi+Tsm9sTsAoYSuZqIS3dyq7UKpAZkWyLEMdTKYYCCVjF0DFk9LXJmsfFqVUgFH2/bRD+jJ04RrUgcpe+mgSsgoaICCXwMUYsFz3521UfEZBuVVSq74LI2fPVJGAVOIQ2xIvYMG4XiGrVy/ODC1o3NqQLJH3pqkrAKnBIGDLkSSAS1prEZfuN3xyn6W66UxVI/lJVlYDVhuHgxtWJfCCtAJV3xzbbbFNo0pg2kLJnq0zAasPQ2QCnb3EPqhW63wogiriXNwfnYQGHqbSHAglY7aFr8BAQr8X5uFnv9yJAVF2HcBU+dETWbrqDtYnspak2AauNQ8FPTaSsFGTdyglSCSyRzLJcFZGbvY1k64uqE7A6MIxC4Pfcc89CT8SsBMxgn+2tyZXHiZnPZSrtp0ACVvtpHJ7A8sYzn1HDhmwnnHY51opZW2ONNYJXeNkcmDtE+q48JgGrg2SXtkBcmvAGcUWDcZpW/gcqcWucbSX6KbPHegeHoGOPSsDqGKk/epCNZFG622+/ffDRK1L/kgpOkJ94t2uuuaahA6k/amH61CoFErBapWAL9wMYs/wuu+wSYqKEkYuAtXHLTM85Vv6HWi//uca1jBLOy3KABG4o2jj5/bUwMAXcmoBVABFbqcKeF91HFK+MvSJg99prr2CmlyAHWGq9/MeUzyjCs94B44JHRWknM3orI1LMvQlYxdCxkFokcMFpWO5ETTt/y0F/tV7+i5HV7gHQVMpDgQSs8oxFakkfUSABq48GM3WlPBRIwCrPWKSW9BEFErD6aDBTV8pDgQSs8oxFakkfUSABq48GM3WlPBRIwCrPWKSW9BEFErD6aDBTV8pDgQSs8oxFakkfUSABq48GM3WlPBRIwCrPWKSW9BEFErD6aDBTV8pDgQSs8oxFakkfUSABq48GM3WlPBRIwCrPWKSW9BEFeg5Y0jgL5nMUppPP40l+jhB1MIHjS9tVHL0p9qnI56hLohl161vsn9/81+vFEUdyfTjudCjFjPUcsAzSXXfdFU4udPbsgQcemB188MHZGWeckV1//fXh+FVHaTZzJu9gk1jI+1FHHZWNGzeusChddZ1//vnhkHIHE+jfrbfemp1zzjldP2R7MHpU/29RA6TKEyEFbV555ZXZBRdckL388svVt/Tt954DFi4l85CT0R387SR1YerO5nUYgTN1l1lmmRDijgsUWZx4KLvSRRddVBhwHVYt3bOcf/rmPF2Lxaqrrpqde+65RTa/7XU5cF2SnBtvvHH8s2SlGj16dDZq1KiwII7/o88/9Byw5HXYddddM0n9hw8fHjiInA/ANmbMmJA+WUKWeeedNzvvvPOy999/v7AhdOIh7ihUvnJVbuUBOO2iiy6a7bzzziFDrfwXOO/JJ5/cc7nVn3766Wy77bYLYxJp8uKLL2YXX3xxyKn4wgsvxJ/7/r3ngEW02G233UI+dINYXeglJuucc84ZOJkkLbFIsoKL0cfoaPSlauARIV0jD5+Xie7ld3rC66+/Hu6p1uXUo06vqO/F51a+q9Nz33rrrVD/qaeeGjisdGXPPPNM0LGIhK6pzAXoeb67z39ervvwww8rq//YZ/cQLfXHdfHZ2lfJzePz1El/rVcnMc/zI+3cFwtuRaRdaaWVAocCKDoVmqOb+6rFc8/RPs9Vp8+VC1Z8XuxD7Hsv6J89Cazdd989AMshb7WKlVNmIyfZy16kSNSC0xCvZEJyevyJJ56YObhAGrJY5DW/6qqrgl5ATMM5cD51EnPodRK5VE6A1157LZzfe/zxx4e6nV6P61QCwwR76aWXsssuuyys6MBPZJKubLnllsv23nvvzIpuEmmz9t13332xWdlzzz0XUqVps+d4hgPjHG6gb7WKNsr8pP10OfWedNJJ4f4LL7ww6DzapJ4TTjgh1EkXeuqppyYAARBpz+mnnx6yQtE1AYnoCgCOLlp99dVD5l3p2CwURFugcZ0FRB9iATLJcLRDn0gdxkau+whA0on/tI3OGT8bE9KDZzP2lLH0NLDk46tVTKLFFlssk7zy6quvDpc8/vjj2aabbpotuOCC2ciRI8PJixJm0suIkFZxxZGh0o+5hv5Gl1tvvfXCgDukbY455giijWsB8ogjjsg22WSTbPPNNw914qLLL7980JuANoLLJMFp/UffIPoBlRV+nnnmCc9Un8kCvI4vNSFxHaC2iCy55JLZuuuuG8StDTfcMCTm9GxAr1VMeLqb+/TT4QzEaPdYeNZcc82QQk2Czy222CJcs8QSS4Rzs9BQUQewbb311uE+NNN2qde00aRnlKBLqYMY7pRIwMOp0N1zPf/uu+8OdUYaoyv9a4cddgjvaGGMAFuRwXedddbJZplllmz++ecP7XW9uuighx56aGkNIj0JLLn0ZI8dMWJEdueddwal2LuBwylMghlnnDEMhMHBBQDAbwbklFNOCZY312600UYBREBAnMMBNttsszBBGEEczuZewMBVHIODA6gT12FAwXGAk/VLAk6rtQnKKGGCEruszA4mkEcd18D91GNSS7oJdFZ4oq7+ATVgEUNNXnqYa3EynNSzN95445BGWt2VHDTMyiwLv9EJp5tuumzYsGEBsNqIY1t4pLCeYYYZwrNxC32Q+HOaaaYJ/QBqXB4wLSjaBWQy7B555JHBULTUUkuFvhHT9B19AcU2iHLvvfdmG2ywQTAu+Yy7kzg8Z+211w6cDC3oYUA022yzhT7ikMR49U0++eShvZ7JcHTIIYcEWqqj0lAS+12G954E1r777htEDhMS4XGX+M5COP3004eBvP3224NYAXRAAlhEEoPOJG8iE6tMWGdGEYueffbZsPKayCYRjkPUog8AjBWZWOLQNhNb9lpiCd3O5LbC4zw4l2vV4VqTDaciMhF1XEcHYWnUXtwXt3IvjqkfJiputf766weuedNNN4W2xHsfeeSRMAltA1TriiaX6xzbA9BAQe/RRhzG5J599tkDJ9RHbQFqdEBX4qHfcB6Lxz777BOeoU51WFjOOuuskIVXX+lIFjaclFUzFr/FxQtIgZJhyeKHc0VaqBfoAdXi89BDDwVg4aqLL754eJZxcJ2xw3ktGBafMpaeBJZBnnrqqcOgEh2IICa5ldF3k8leV5TVgYncP9VUU4XJjfPgECYzM/3MM88cBtMkZkAwuXCtahELsEyys88+O4iYRBL3VxpI4iADrIG3yuIGrjUZALeynHbaaYHrqBuovLTPQkDXs8qbiMQpq31lAXY6DJGrVvZbwCBWmqx0GNxPofzjwjgRLhULcOJwuLIJiwsBJGDqc3XBjYGTWIhuQETMVEcsfjM29C9AAkZ08dzqDXDSgn5qL2kiioI422233RarDIuLfuGsuH4ZS08Cy2ATBXEqE49SbQDvuOOOwB1MtliIM2TxWWedNYhTVlTA2XbbbYOYR9TbcccdAydzXzzLClf0ubJUAos4Rt/BTegR1QWnAmaTjJ5Dp8Gdqg99i+IgMOEYlcCyuusTI4wVPuqB1c+q9z0CC/fDeVjuFJZNwDKBiVXRCogLHXTQQYGDaj8gW4C03ffqor10H9ICbkRCAKJqjlUJLAsJQBBH48IX62XcsGhqF+4VgUWktmkei4XEdXEBiL+X6b0ngUWMmWKKKYJ4NRgxTRp7XI60sRpa+Yh8kTvhSkQs4poVmwgCuFZEVqvKEoFFFKSTAZYNaSttdaELTTvttMHSZjIRN3HIao5FVyJ21uJYDC8WDFsHuHI1xyLC4RrAaAGpLhFYJioaVALr8MMPD2d1AX4EFo4GFERTHAtns8BoXy2OZeGxYBHXcCwiN45VyQVJDpXAQjsiuedHw05sN3rrp4XAmERg0b2Iu7EkYEVKFPhulbSKUmhZqAYrJhzl2MQ2AZhzTSQvugKRw6S2gpLdI8disasGFkDjHkQ71+EiNqlvueWW8ZNTe5jNiZJETOZuYAVqOhZgRxBoA7HVRGZpo/sBCR0LGC6//PLADYGXODR27Njxz1EH3Y4RAjeqZXYGLFySIYRIWgmsaC3EoSqBpT1ENX1UJ9M2cc9CU/kMIGSEifohA41FAHdBu1in3+hYDE3ogN7aTGqoFKH1h07pP0AiBXjpN7oBWiyAhcNbuOiCZSw9x7FY55ieHWNjsuYpJiwwEs2IfbgUwwXRhRjD3G2SEIUYBHAWA1ctCpr8TPhWXRup0SpoIuBgJq6V23UAZ/Lgjjgh3YJlzupNdCUSEndYD4m12qWdceEwwYiJ0SqI45q0uALwmbBWd+KQtkewVtIDsIhMOA4gEQEVCwjxeJFFFgnAiyAwYW0pTDnllBkuq9CLtIUJXX+Ja/pJb1Uv+qGj53tXp7ZabDzfQsasTpy85557xouXtjHQCcdlTGHdQ0f6ZKQv8dKiwpjB6BMLTmqRozNbAMpYeg5YxCFihIlbKcsPRlwT0QCzMOEmJhxRzoTBeYgdJodV0upOlAOSykIvsfrHvTFWNtwu7i9Z/QHYNUQikyau8iZkFHPodUSsLbfcMnAm+0G4jomvfz7TBXEsxXMYPhyzCpjuVYfVHA2q2xnbzILGiKIuwI46Gl3SRi9jD1BGYOE6NmGBHZdXWOJsT9h/s8+Em3omDuQ3XCYaIXAg3IV4iPNZJHB996BxNAbRi3ExIh9d1yLmPuCzAAC+QsRmcbSQAmUsTPFohO700DKWngOWwUdkE4Jin7cAjQlIWTeIrHQ4AFEHF4zFxDbwNjzjRIz/ea5zhOlncTICg5UcSGKdnoHzVRYA83ztBjoAMfmszqx/VnZ98/J8oAL2WHAzYNBmVjjP89w4CeN1le+eSXdUF84TTfJ0G+3zu8keuV3kMOqtFNOAC0fBYSxOnu8zUVR7YyFa8+4gNmorOgEXwwMA2E5Q0E7fcE00s0Dol+dWu0mpj/iIS8fC6IHrG4t6i0q8tlvvPQcsg2KCEAfiRGmEeCailRA3MXnUU1lMDvVahatN2H4nmpmAcTK6lwjFKKFOdXtG9b3xGUzYPAtMLJNFfSa6yQsIXp5tglVbzbRVmz3HhFLXYCXWpf64GHj33TMit1GPPvmuP9XPdj2RTf+IyD5X3hvbgUYWG+KifqGVdwBE21g8C51ICLharbFAQ/cRu6vvje1UfxlLzwGrjERMbUoUqKZAAlY1RdL3RIECKJCAVQARUxWJAtUUSMCqpkj6nihQAAUSsAogYqoiUaCaAglY1RRJ3xMFCqDA/wGhPPSJBfJ6TQAAAABJRU5ErkJggg==)
Oscillatory motions are a type of periodic motion.
A pendulum is a good example for an oscillatory motion. In the simple pendulum, the bob oscillates to and fro over the middle equilibrium point.
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)
FACTORS THAT AFFECT TIME PERIOD
The period of such a device can be made longer by increasing its length, as measured from the point of suspension to the middle of the bob.
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)
A change in the mass of the bob, however, does not affect the period, provided the length is not thereby affected.
The period, on the other hand, is influenced by the position of the pendulum in relation to Earth. Because the strength of Earth’s gravitational field is not uniform everywhere, a given pendulum swings faster, and thus has a shorter period, at low altitudes and at Earth’s poles than it has longer period at high altitudes.