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",[577,1219,1221,1234],{"className":1220},[580],[577,1222,1224],{"className":1223},[584],[586,1225,1226],{"xmlns":588},[590,1227,1228,1232],{},[593,1229,1230],{},[596,1231,678],{},[600,1233,678],{"encoding":602},[577,1235,1237],{"className":1236,"ariaHidden":607},[606],[577,1238,1240,1243],{"className":1239},[611],[577,1241],{"className":1242,"style":616},[615],[577,1244,678],{"className":1245},[620,621]," bezeichnet die Ableitung nach der Zeit. Die charakteristische Gleichung ",[577,1248,1250,1284],{"className":1249},[580],[577,1251,1253],{"className":1252},[584],[586,1254,1255],{"xmlns":588},[590,1256,1257,1281],{},[593,1258,1259,1267,1269,1277,1279],{},[1260,1261,1262,1265],"msup",{},[596,1263,1264],{},"λ",[820,1266,825],{},[680,1268,812],{},[814,1270,1271,1273,1275],{},[596,1272,818],{},[820,1274,822],{},[820,1276,825],{},[680,1278,685],{},[820,1280,822],{},[600,1282,1283],{"encoding":602},"\\lambda^2 + \\omega_0^2 = 0",[577,1285,1287,1334,1403],{"className":1286,"ariaHidden":607},[606],[577,1288,1290,1294,1325,1328,1331],{"className":1289},[611],[577,1291],{"className":1292,"style":1293},[615],"height:0.8974em;vertical-align:-0.0833em;",[577,1295,1297,1300],{"className":1296},[620],[577,1298,1264],{"className":1299},[620,621],[577,1301,1303],{"className":1302},[931],[577,1304,1306],{"className":1305},[723],[577,1307,1309],{"className":1308},[727],[577,1310,1313],{"className":1311,"style":1312},[731],"height:0.8141em;",[577,1314,1316,1319],{"style":1315},"top:-3.063em;margin-right:0.05em;",[577,1317],{"className":1318,"style":949},[738],[577,1320,1322],{"className":1321},[953,954,955,956],[577,1323,825],{"className":1324},[620,956],[577,1326],{"className":1327,"style":906},[714],[577,1329,812],{"className":1330},[910],[577,1332],{"className":1333,"style":906},[714],[577,1335,1337,1341,1394,1397,1400],{"className":1336},[611],[577,1338],{"className":1339,"style":1340},[615],"height:1.0622em;vertical-align:-0.2481em;",[577,1342,1344,1347],{"className":1343},[620],[577,1345,818],{"className":1346,"style":927},[620,621],[577,1348,1350],{"className":1349},[931],[577,1351,1353,1385],{"className":1352},[723,935],[577,1354,1356,1382],{"className":1355},[727],[577,1357,1359,1371],{"className":1358,"style":1312},[731],[577,1360,1362,1365],{"style":1361},"top:-2.4519em;margin-left:-0.0359em;margin-right:0.05em;",[577,1363],{"className":1364,"style":949},[738],[577,1366,1368],{"className":1367},[953,954,955,956],[577,1369,822],{"className":1370},[620,956],[577,1372,1373,1376],{"style":1315},[577,1374],{"className":1375,"style":949},[738],[577,1377,1379],{"className":1378},[953,954,955,956],[577,1380,825],{"className":1381},[620,956],[577,1383,976],{"className":1384},[975],[577,1386,1388],{"className":1387},[727],[577,1389,1392],{"className":1390,"style":1391},[731],"height:0.2481em;",[577,1393],{},[577,1395],{"className":1396,"style":759},[714],[577,1398,685],{"className":1399},[763],[577,1401],{"className":1402,"style":759},[714],[577,1404,1406,1410],{"className":1405},[611],[577,1407],{"className":1408,"style":1409},[615],"height:0.6444em;",[577,1411,822],{"className":1412},[620]," hat die Lösungen ",[577,1415,1417,1443],{"className":1416},[580],[577,1418,1420],{"className":1419},[584],[586,1421,1422],{"xmlns":588},[590,1423,1424,1440],{},[593,1425,1426,1429,1432,1434],{},[680,1427,1428],{},"±",[596,1430,1431],{},"i",[670,1433,672],{},[841,1435,1436,1438],{},[596,1437,818],{},[820,1439,822],{},[600,1441,1442],{"encoding":602},"\\pm i\\,\\omega_0",[577,1444,1446],{"className":1445,"ariaHidden":607},[606],[577,1447,1449,1453,1456,1459,1462],{"className":1448},[611],[577,1450],{"className":1451,"style":1452},[615],"height:0.8095em;vertical-align:-0.15em;",[577,1454,1428],{"className":1455},[620],[577,1457,1431],{"className":1458},[620,621],[577,1460],{"className":1461,"style":715},[714],[577,1463,1465,1468],{"className":1464},[620],[577,1466,818],{"className":1467,"style":927},[620,621],[577,1469,1471],{"className":1470},[931],[577,1472,1474,1494],{"className":1473},[723,935],[577,1475,1477,1491],{"className":1476},[727],[577,1478,1480],{"className":1479,"style":1040},[731],[577,1481,1482,1485],{"style":1043},[577,1483],{"className":1484,"style":949},[738],[577,1486,1488],{"className":1487},[953,954,955,956],[577,1489,822],{"className":1490},[620,956],[577,1492,976],{"className":1493},[975],[577,1495,1497],{"className":1496},[727],[577,1498,1500],{"className":1499,"style":1062},[731],[577,1501],{},". Daher ist jede Lösung eine Überlagerung von Kosinus und Sinus mit derselben Kreisfrequenz.",[564,1504,1505,1506,1619,1620,1762,1763,1619,1857,2072,2073],{},"Aus den Anfangswerten ",[577,1507,1509,1540],{"className":1508},[580],[577,1510,1512],{"className":1511},[584],[586,1513,1514],{"xmlns":588},[590,1515,1516,1537],{},[593,1517,1518,1520,1524,1526,1529,1531],{},[596,1519,678],{},[680,1521,1523],{"stretchy":1522},"false","(",[820,1525,822],{},[680,1527,1528],{"stretchy":1522},")",[680,1530,685],{},[841,1532,1533,1535],{},[596,1534,678],{},[820,1536,822],{},[600,1538,1539],{"encoding":602},"x(0) = x_0",[577,1541,1543,1571],{"className":1542,"ariaHidden":607},[606],[577,1544,1546,1550,1553,1556,1559,1562,1565,1568],{"className":1545},[611],[577,1547],{"className":1548,"style":1549},[615],"height:1em;vertical-align:-0.25em;",[577,1551,678],{"className":1552},[620,621],[577,1554,1523],{"className":1555},[1114],[577,1557,822],{"className":1558},[620],[577,1560,1528],{"className":1561},[1179],[577,1563],{"className":1564,"style":759},[714],[577,1566,685],{"className":1567},[763],[577,1569],{"className":1570,"style":759},[714],[577,1572,1574,1578],{"className":1573},[611],[577,1575],{"className":1576,"style":1577},[615],"height:0.5806em;vertical-align:-0.15em;",[577,1579,1581,1584],{"className":1580},[620],[577,1582,678],{"className":1583},[620,621],[577,1585,1587],{"className":1586},[931],[577,1588,1590,1611],{"className":1589},[723,935],[577,1591,1593,1608],{"className":1592},[727],[577,1594,1596],{"className":1595,"style":1040},[731],[577,1597,1599,1602],{"style":1598},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[577,1600],{"className":1601,"style":949},[738],[577,1603,1605],{"className":1604},[953,954,955,956],[577,1606,822],{"className":1607},[620,956],[577,1609,976],{"className":1610},[975],[577,1612,1614],{"className":1613},[727],[577,1615,1617],{"className":1616,"style":1062},[731],[577,1618],{}," und ",[577,1621,1623,1657],{"className":1622},[580],[577,1624,1626],{"className":1625},[584],[586,1627,1628],{"xmlns":588},[590,1629,1630,1654],{},[593,1631,1632,1639,1641,1643,1645,1647],{},[674,1633,1634,1636],{"accent":607},[596,1635,678],{},[680,1637,1638],{},"˙",[680,1640,1523],{"stretchy":1522},[820,1642,822],{},[680,1644,1528],{"stretchy":1522},[680,1646,685],{},[841,1648,1649,1652],{},[596,1650,1651],{},"v",[820,1653,822],{},[600,1655,1656],{"encoding":602},"\\dot{x}(0) = 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folgt ",[577,1764,1766,1789],{"className":1765},[580],[577,1767,1769],{"className":1768},[584],[586,1770,1771],{"xmlns":588},[590,1772,1773,1786],{},[593,1774,1775,1778,1780],{},[596,1776,1777],{},"A",[680,1779,685],{},[841,1781,1782,1784],{},[596,1783,678],{},[820,1785,822],{},[600,1787,1788],{"encoding":602},"A = 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= 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Gleichwertig ist die ",[568,2074,2075],{},"Amplituden-Phasen-Form",[577,2077,2079],{"className":2078},[790],[577,2080,2082,2157],{"className":2081},[580],[577,2083,2085],{"className":2084},[584],[586,2086,2087],{"xmlns":588,"display":799},[590,2088,2089,2154],{},[593,2090,2091,2093,2095,2098,2100,2102,2105,2108,2111,2113,2119,2121,2123,2126,2128,2130,2132,2134,2136],{},[596,2092,678],{},[680,2094,1523],{"stretchy":1522},[596,2096,2097],{},"t",[680,2099,1528],{"stretchy":1522},[680,2101,685],{},[596,2103,2104],{},"R",[596,2106,2107],{},"cos",[680,2109,2110],{},"⁡",[680,2112,1523],{"stretchy":1522},[841,2114,2115,2117],{},[596,2116,818],{},[820,2118,822],{},[596,2120,2097],{},[680,2122,688],{},[596,2124,2125],{},"φ",[680,2127,1528],{"stretchy":1522},[680,2129,836],{"separator":607},[714,2131],{"width":839},[596,2133,2104],{},[680,2135,685],{},[850,2137,2138],{},[593,2139,2140,2146,2148],{},[1260,2141,2142,2144],{},[596,2143,1777],{},[820,2145,825],{},[680,2147,812],{},[1260,2149,2150,2152],{},[596,2151,1871],{},[820,2153,825],{},[600,2155,2156],{"encoding":602},"x(t) = R\\cos(\\omega_0 t - \\varphi), \\qquad R = \\sqrt{A^2 + 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0 400000 1296",[1200,2407],{"d":2408},"M263,681c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl0 -0\nc4.7,-7.3,11,-11,19,-11\nH40000v40H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM1001 80h400000v40h-400000z",[577,2410,976],{"className":2411},[975],[577,2413,2415],{"className":2414},[727],[577,2416,2419],{"className":2417,"style":2418},[731],"height:0.1777em;",[577,2420],{},[564,2422,2423,2424,2454,2455,1619,2589,2721,2722,2895],{},"mit dem Phasenwinkel 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= \\frac{B}{R}",[577,2620,2622,2647],{"className":2621,"ariaHidden":607},[606],[577,2623,2625,2629,2632,2635,2638,2641,2644],{"className":2624},[611],[577,2626],{"className":2627,"style":2628},[615],"height:0.8623em;vertical-align:-0.1944em;",[577,2630,2603],{"className":2631},[2203],[577,2633],{"className":2634,"style":715},[714],[577,2636,2125],{"className":2637},[620,621],[577,2639],{"className":2640,"style":759},[714],[577,2642,685],{"className":2643},[763],[577,2645],{"className":2646,"style":759},[714],[577,2648,2650,2653],{"className":2649},[611],[577,2651],{"className":2652,"style":2517},[615],[577,2654,2656,2659,2718],{"className":2655},[620],[577,2657],{"className":2658},[1114,1115],[577,2660,2662],{"className":2661},[853],[577,2663,2665,2710],{"className":2664},[723,935],[577,2666,2668,2707],{"className":2667},[727],[577,2669,2671,2685,2693],{"className":2670,"style":2536},[731],[577,2672,2673,2676],{"style":1941},[577,2674],{"className":2675,"style":739},[738],[577,2677,2679],{"className":2678},[953,954,955,956],[577,2680,2682],{"className":2681},[620,956],[577,2683,2104],{"className":2684,"style":2196},[620,621,956],[577,2686,2687,2690],{"style":1143},[577,2688],{"className":2689,"style":739},[738],[577,2691],{"className":2692,"style":1151},[1150],[577,2694,2695,2698],{"style":2561},[577,2696],{"className":2697,"style":739},[738],[577,2699,2701],{"className":2700},[953,954,955,956],[577,2702,2704],{"className":2703},[620,956],[577,2705,1871],{"className":2706,"style":1903},[620,621,956],[577,2708,976],{"className":2709},[975],[577,2711,2713],{"className":2712},[727],[577,2714,2716],{"className":2715,"style":2583},[731],[577,2717],{},[577,2719],{"className":2720},[1179,1115]," gilt. Die Periode ist ",[577,2723,2725,2757],{"className":2724},[580],[577,2726,2728],{"className":2727},[584],[586,2729,2730],{"xmlns":588},[590,2731,2732,2754],{},[593,2733,2734,2737,2739],{},[596,2735,2736],{},"T",[680,2738,685],{},[853,2740,2741,2748],{},[593,2742,2743,2745],{},[820,2744,825],{},[596,2746,2747],{},"π",[841,2749,2750,2752],{},[596,2751,818],{},[820,2753,822],{},[600,2755,2756],{"encoding":602},"T = \\frac{2\\pi}{\\omega_0}",[577,2758,2760,2779],{"className":2759,"ariaHidden":607},[606],[577,2761,2763,2766,2770,2773,2776],{"className":2762},[611],[577,2764],{"className":2765,"style":1798},[615],[577,2767,2736],{"className":2768,"style":2769},[620,621],"margin-right:0.1389em;",[577,2771],{"className":2772,"style":759},[714],[577,2774,685],{"className":2775},[763],[577,2777],{"className":2778,"style":759},[714],[577,2780,2782,2786],{"className":2781},[611],[577,2783],{"className":2784,"style":2785},[615],"height:1.2902em;vertical-align:-0.4451em;",[577,2787,2789,2792,2892],{"className":2788},[620],[577,2790],{"className":2791},[1114,1115],[577,2793,2795],{"className":2794},[853],[577,2796,2798,2884],{"className":2797},[723,935],[577,2799,2801,2881],{"className":2800},[727],[577,2802,2805,2856,2864],{"className":2803,"style":2804},[731],"height:0.8451em;",[577,2806,2807,2810],{"style":1941},[577,2808],{"className":2809,"style":739},[738],[577,2811,2813],{"className":2812},[953,954,955,956],[577,2814,2816],{"className":2815},[620,956],[577,2817,2819,2822],{"className":2818},[620,956],[577,2820,818],{"className":2821,"style":927},[620,621,956],[577,2823,2825],{"className":2824},[931],[577,2826,2828,2848],{"className":2827},[723,935],[577,2829,2831,2845],{"className":2830},[727],[577,2832,2834],{"className":2833,"style":1969},[731],[577,2835,2836,2839],{"style":1972},[577,2837],{"className":2838,"style":1976},[738],[577,2840,2842],{"className":2841},[953,1980,1981,956],[577,2843,822],{"className":2844},[620,956],[577,2846,976],{"className":2847},[975],[577,2849,2851],{"className":2850},[727],[577,2852,2854],{"className":2853,"style":1994},[731],[577,2855],{},[577,2857,2858,2861],{"style":1143},[577,2859],{"className":2860,"style":739},[738],[577,2862],{"className":2863,"style":1151},[1150],[577,2865,2866,2869],{"style":2561},[577,2867],{"className":2868,"style":739},[738],[577,2870,2872],{"className":2871},[953,954,955,956],[577,2873,2875,2878],{"className":2874},[620,956],[577,2876,825],{"className":2877},[620,956],[577,2879,2747],{"className":2880,"style":927},[620,621,956],[577,2882,976],{"className":2883},[975],[577,2885,2887],{"className":2886},[727],[577,2888,2890],{"className":2889,"style":2066},[731],[577,2891],{},[577,2893],{"className":2894},[1179,1115]," und hängt nicht von der Amplitude ab. Auch das Fadenpendel folgt für kleine Auslenkungen dieser Gleichung.",[559,2897,2899],{"id":2898},"beispiele","Beispiele",[564,2901,2902,2903,2959,2960,3026,3027,3070,3071,3125],{},"Eine Masse von ",[577,2904,2906,2926],{"className":2905},[580],[577,2907,2909],{"className":2908},[584],[586,2910,2911],{"xmlns":588},[590,2912,2913,2923],{},[593,2914,2915,2918,2920],{},[820,2916,2917],{},"0,5",[670,2919,672],{},[670,2921,2922],{},"kg",[600,2924,2925],{"encoding":602},"0{,}5\\,\\text{kg}",[577,2927,2929],{"className":2928,"ariaHidden":607},[606],[577,2930,2932,2936,2939,2945,2949,2952],{"className":2931},[611],[577,2933],{"className":2934,"style":2935},[615],"height:0.8889em;vertical-align:-0.1944em;",[577,2937,822],{"className":2938},[620],[577,2940,2942],{"className":2941},[620],[577,2943,836],{"className":2944},[1014],[577,2946,2948],{"className":2947},[620],"5",[577,2950],{"className":2951,"style":715},[714],[577,2953,2956],{"className":2954},[620,2955],"text",[577,2957,2922],{"className":2958},[620]," hängt an einer Feder mit ",[577,2961,2963,2987],{"className":2962},[580],[577,2964,2966],{"className":2965},[584],[586,2967,2968],{"xmlns":588},[590,2969,2970,2984],{},[593,2971,2972,2974,2976,2979,2981],{},[596,2973,637],{},[680,2975,685],{},[820,2977,2978],{},"50",[670,2980,672],{},[670,2982,2983],{},"N\u002Fm",[600,2985,2986],{"encoding":602},"k = 50\\,\\text{N\u002Fm}",[577,2988,2990,3008],{"className":2989,"ariaHidden":607},[606],[577,2991,2993,2996,2999,3002,3005],{"className":2992},[611],[577,2994],{"className":2995,"style":649},[615],[577,2997,637],{"className":2998,"style":653},[620,621],[577,3000],{"className":3001,"style":759},[714],[577,3003,685],{"className":3004},[763],[577,3006],{"className":3007,"style":759},[714],[577,3009,3011,3014,3017,3020],{"className":3010},[611],[577,3012],{"className":3013,"style":1549},[615],[577,3015,2978],{"className":3016},[620],[577,3018],{"className":3019,"style":715},[714],[577,3021,3023],{"className":3022},[620,2955],[577,3024,2983],{"className":3025},[620],". Sie wird um ",[577,3028,3030,3049],{"className":3029},[580],[577,3031,3033],{"className":3032},[584],[586,3034,3035],{"xmlns":588},[590,3036,3037,3046],{},[593,3038,3039,3041,3043],{},[820,3040,825],{},[670,3042,672],{},[670,3044,3045],{},"cm",[600,3047,3048],{"encoding":602},"2\\,\\text{cm}",[577,3050,3052],{"className":3051,"ariaHidden":607},[606],[577,3053,3055,3058,3061,3064],{"className":3054},[611],[577,3056],{"className":3057,"style":1409},[615],[577,3059,825],{"className":3060},[620],[577,3062],{"className":3063,"style":715},[714],[577,3065,3067],{"className":3066},[620,2955],[577,3068,3045],{"className":3069},[620]," ausgelenkt und mit ",[577,3072,3074,3094],{"className":3073},[580],[577,3075,3077],{"className":3076},[584],[586,3078,3079],{"xmlns":588},[590,3080,3081,3091],{},[593,3082,3083,3086,3088],{},[820,3084,3085],{},"0,3",[670,3087,672],{},[670,3089,3090],{},"m\u002Fs",[600,3092,3093],{"encoding":602},"0{,}3\\,\\text{m\u002Fs}",[577,3095,3097],{"className":3096,"ariaHidden":607},[606],[577,3098,3100,3103,3106,3112,3116,3119],{"className":3099},[611],[577,3101],{"className":3102,"style":1549},[615],[577,3104,822],{"className":3105},[620],[577,3107,3109],{"className":3108},[620],[577,3110,836],{"className":3111},[1014],[577,3113,3115],{"className":3114},[620],"3",[577,3117],{"className":3118,"style":715},[714],[577,3120,3122],{"className":3121},[620,2955],[577,3123,3090],{"className":3124},[620]," angestoßen. Dann ist",[577,3127,3129],{"className":3128},[790],[577,3130,3132,3207],{"className":3131},[580],[577,3133,3135],{"className":3134},[584],[586,3136,3137],{"xmlns":588,"display":799},[590,3138,3139,3204],{},[593,3140,3141,3147,3149,3157,3159,3162,3164,3176,3178,3180,3182,3184,3194,3197,3200,3202],{},[841,3142,3143,3145],{},[596,3144,818],{},[820,3146,822],{},[680,3148,685],{},[850,3150,3151],{},[853,3152,3153,3155],{},[820,3154,2978],{},[820,3156,2917],{},[680,3158,685],{},[820,3160,3161],{},"10",[670,3163,672],{},[1260,3165,3166,3169],{},[670,3167,3168],{},"s",[593,3170,3171,3173],{},[680,3172,688],{},[820,3174,3175],{},"1",[680,3177,836],{"separator":607},[714,3179],{"width":839},[596,3181,2736],{},[680,3183,685],{},[853,3185,3186,3192],{},[593,3187,3188,3190],{},[820,3189,825],{},[596,3191,2747],{},[820,3193,3161],{},[680,3195,3196],{},"≈",[820,3198,3199],{},"0,6283",[670,3201,672],{},[670,3203,3168],{},[600,3205,3206],{"encoding":602},"\\omega_0 = \\sqrt{\\frac{50}{0{,}5}} = 10\\,\\text{s}^{-1}, \\qquad T = \\frac{2\\pi}{10} \\approx 0{,}6283\\,\\text{s}",[577,3208,3210,3265,3401,3473,3554],{"className":3209,"ariaHidden":607},[606],[577,3211,3213,3216,3256,3259,3262],{"className":3212},[611],[577,3214],{"className":3215,"style":1577},[615],[577,3217,3219,3222],{"className":3218},[620],[577,3220,818],{"className":3221,"style":927},[620,621],[577,3223,3225],{"className":3224},[931],[577,3226,3228,3248],{"className":3227},[723,935],[577,3229,3231,3245],{"className":3230},[727],[577,3232,3234],{"className":3233,"style":1040},[731],[577,3235,3236,3239],{"style":1043},[577,3237],{"className":3238,"style":949},[738],[577,3240,3242],{"className":3241},[953,954,955,956],[577,3243,822],{"className":3244},[620,956],[577,3246,976],{"className":3247},[975],[577,3249,3251],{"className":3250},[727],[577,3252,3254],{"className":3253,"style":1062},[731],[577,3255],{},[577,3257],{"className":3258,"style":759},[714],[577,3260,685],{"className":3261},[763],[577,3263],{"className":3264,"style":759},[714],[577,3266,3268,3272,3392,3395,3398],{"className":3267},[611],[577,3269],{"className":3270,"style":3271},[615],"height:2.44em;vertical-align:-0.8856em;",[577,3273,3275],{"className":3274},[620,1084],[577,3276,3278,3383],{"className":3277},[723,935],[577,3279,3281,3380],{"className":3280},[727],[577,3282,3285,3367],{"className":3283,"style":3284},[731],"height:1.5544em;",[577,3286,3288,3291],{"className":3287,"style":1099},[1098],[577,3289],{"className":3290,"style":1103},[738],[577,3292,3294],{"className":3293,"style":1107},[620],[577,3295,3297,3300,3364],{"className":3296},[620],[577,3298],{"className":3299},[1114,1115],[577,3301,3303],{"className":3302},[853],[577,3304,3306,3355],{"className":3305},[723,935],[577,3307,3309,3352],{"className":3308},[727],[577,3310,3313,3333,3341],{"className":3311,"style":3312},[731],"height:1.3214em;",[577,3314,3315,3318],{"style":1131},[577,3316],{"className":3317,"style":739},[738],[577,3319,3321,3324,3330],{"className":3320},[620],[577,3322,822],{"className":3323},[620],[577,3325,3327],{"className":3326},[620],[577,3328,836],{"className":3329},[1014],[577,3331,2948],{"className":3332},[620],[577,3334,3335,3338],{"style":1143},[577,3336],{"className":3337,"style":739},[738],[577,3339],{"className":3340,"style":1151},[1150],[577,3342,3343,3346],{"style":1154},[577,3344],{"className":3345,"style":739},[738],[577,3347,3349],{"className":3348},[620],[577,3350,2978],{"className":3351},[620],[577,3353,976],{"className":3354},[975],[577,3356,3358],{"className":3357},[727],[577,3359,3362],{"className":3360,"style":3361},[731],"height:0.8804em;",[577,3363],{},[577,3365],{"className":3366},[1179,1115],[577,3368,3370,3373],{"style":3369},"top:-3.5144em;",[577,3371],{"className":3372,"style":1103},[738],[577,3374,3376],{"className":3375,"style":1190},[1189],[1192,3377,3378],{"xmlns":1194,"width":1195,"height":1196,"viewBox":1197,"preserveAspectRatio":1198},[1200,3379],{"d":1202},[577,3381,976],{"className":3382},[975],[577,3384,3386],{"className":3385},[727],[577,3387,3390],{"className":3388,"style":3389},[731],"height:0.8856em;",[577,3391],{},[577,3393],{"className":3394,"style":759},[714],[577,3396,685],{"className":3397},[763],[577,3399],{"className":3400,"style":759},[714],[577,3402,3404,3408,3411,3414,3452,3455,3458,3461,3464,3467,3470],{"className":3403},[611],[577,3405],{"className":3406,"style":3407},[615],"height:1.0585em;vertical-align:-0.1944em;",[577,3409,3161],{"className":3410},[620],[577,3412],{"className":3413,"style":715},[714],[577,3415,3417,3423],{"className":3416},[620],[577,3418,3420],{"className":3419},[620,2955],[577,3421,3168],{"className":3422},[620],[577,3424,3426],{"className":3425},[931],[577,3427,3429],{"className":3428},[723],[577,3430,3432],{"className":3431},[727],[577,3433,3435],{"className":3434,"style":942},[731],[577,3436,3437,3440],{"style":962},[577,3438],{"className":3439,"style":949},[738],[577,3441,3443],{"className":3442},[953,954,955,956],[577,3444,3446,3449],{"className":3445},[620,956],[577,3447,688],{"className":3448},[620,956],[577,3450,3175],{"className":3451},[620,956],[577,3453,836],{"className":3454},[1014],[577,3456],{"className":3457,"style":1018},[714],[577,3459],{"className":3460,"style":715},[714],[577,3462,2736],{"className":3463,"style":2769},[620,621],[577,3465],{"className":3466,"style":759},[714],[577,3468,685],{"className":3469},[763],[577,3471],{"className":3472,"style":759},[714],[577,3474,3476,3480,3545,3548,3551],{"className":3475},[611],[577,3477],{"className":3478,"style":3479},[615],"height:2.0074em;vertical-align:-0.686em;",[577,3481,3483,3486,3542],{"className":3482},[620],[577,3484],{"className":3485},[1114,1115],[577,3487,3489],{"className":3488},[853],[577,3490,3492,3534],{"className":3491},[723,935],[577,3493,3495,3531],{"className":3494},[727],[577,3496,3498,3509,3517],{"className":3497,"style":3312},[731],[577,3499,3500,3503],{"style":1131},[577,3501],{"className":3502,"style":739},[738],[577,3504,3506],{"className":3505},[620],[577,3507,3161],{"className":3508},[620],[577,3510,3511,3514],{"style":1143},[577,3512],{"className":3513,"style":739},[738],[577,3515],{"className":3516,"style":1151},[1150],[577,3518,3519,3522],{"style":1154},[577,3520],{"className":3521,"style":739},[738],[577,3523,3525,3528],{"className":3524},[620],[577,3526,825],{"className":3527},[620],[577,3529,2747],{"className":3530,"style":927},[620,621],[577,3532,976],{"className":3533},[975],[577,3535,3537],{"className":3536},[727],[577,3538,3540],{"className":3539,"style":1173},[731],[577,3541],{},[577,3543],{"className":3544},[1179,1115],[577,3546],{"className":3547,"style":759},[714],[577,3549,3196],{"className":3550},[763],[577,3552],{"className":3553,"style":759},[714],[577,3555,3557,3560,3563,3569,3573,3576],{"className":3556},[611],[577,3558],{"className":3559,"style":1007},[615],[577,3561,822],{"className":3562},[620],[577,3564,3566],{"className":3565},[620],[577,3567,836],{"className":3568},[1014],[577,3570,3572],{"className":3571},[620],"6283",[577,3574],{"className":3575,"style":715},[714],[577,3577,3579],{"className":3578},[620,2955],[577,3580,3168],{"className":3581},[620],[564,3583,3584,3585,1619,3647,3812],{},"Mit ",[577,3586,3588,3607],{"className":3587},[580],[577,3589,3591],{"className":3590},[584],[586,3592,3593],{"xmlns":588},[590,3594,3595,3604],{},[593,3596,3597,3599,3601],{},[596,3598,1777],{},[680,3600,685],{},[820,3602,3603],{},"0,02",[600,3605,3606],{"encoding":602},"A = 0{,}02",[577,3608,3610,3628],{"className":3609,"ariaHidden":607},[606],[577,3611,3613,3616,3619,3622,3625],{"className":3612},[611],[577,3614],{"className":3615,"style":1798},[615],[577,3617,1777],{"className":3618},[620,621],[577,3620],{"className":3621,"style":759},[714],[577,3623,685],{"className":3624},[763],[577,3626],{"className":3627,"style":759},[714],[577,3629,3631,3634,3637,3643],{"className":3630},[611],[577,3632],{"className":3633,"style":1007},[615],[577,3635,822],{"className":3636},[620],[577,3638,3640],{"className":3639},[620],[577,3641,836],{"className":3642},[1014],[577,3644,3646],{"className":3645},[620],"02",[577,3648,3650,3677],{"className":3649},[580],[577,3651,3653],{"className":3652},[584],[586,3654,3655],{"xmlns":588},[590,3656,3657,3674],{},[593,3658,3659,3661,3663,3669,3671],{},[596,3660,1871],{},[680,3662,685],{},[853,3664,3665,3667],{},[820,3666,3085],{},[820,3668,3161],{},[680,3670,685],{},[820,3672,3673],{},"0,03",[600,3675,3676],{"encoding":602},"B = \\frac{0{,}3}{10} = 0{,}03",[577,3678,3680,3698,3793],{"className":3679,"ariaHidden":607},[606],[577,3681,3683,3686,3689,3692,3695],{"className":3682},[611],[577,3684],{"className":3685,"style":1798},[615],[577,3687,1871],{"className":3688,"style":1903},[620,621],[577,3690],{"className":3691,"style":759},[714],[577,3693,685],{"className":3694},[763],[577,3696],{"className":3697,"style":759},[714],[577,3699,3701,3705,3784,3787,3790],{"className":3700},[611],[577,3702],{"className":3703,"style":3704},[615],"height:1.2422em;vertical-align:-0.345em;",[577,3706,3708,3711,3781],{"className":3707},[620],[577,3709],{"className":3710},[1114,1115],[577,3712,3714],{"className":3713},[853],[577,3715,3717,3773],{"className":3716},[723,935],[577,3718,3720,3770],{"className":3719},[727],[577,3721,3724,3738,3746],{"className":3722,"style":3723},[731],"height:0.8972em;",[577,3725,3726,3729],{"style":1941},[577,3727],{"className":3728,"style":739},[738],[577,3730,3732],{"className":3731},[953,954,955,956],[577,3733,3735],{"className":3734},[620,956],[577,3736,3161],{"className":3737},[620,956],[577,3739,3740,3743],{"style":1143},[577,3741],{"className":3742,"style":739},[738],[577,3744],{"className":3745,"style":1151},[1150],[577,3747,3749,3752],{"style":3748},"top:-3.4461em;",[577,3750],{"className":3751,"style":739},[738],[577,3753,3755],{"className":3754},[953,954,955,956],[577,3756,3758,3761,3767],{"className":3757},[620,956],[577,3759,822],{"className":3760},[620,956],[577,3762,3764],{"className":3763},[620,956],[577,3765,836],{"className":3766},[1014,956],[577,3768,3115],{"className":3769},[620,956],[577,3771,976],{"className":3772},[975],[577,3774,3776],{"className":3775},[727],[577,3777,3779],{"className":3778,"style":2583},[731],[577,3780],{},[577,3782],{"className":3783},[1179,1115],[577,3785],{"className":3786,"style":759},[714],[577,3788,685],{"className":3789},[763],[577,3791],{"className":3792,"style":759},[714],[577,3794,3796,3799,3802,3808],{"className":3795},[611],[577,3797],{"className":3798,"style":1007},[615],[577,3800,822],{"className":3801},[620],[577,3803,3805],{"className":3804},[620],[577,3806,836],{"className":3807},[1014],[577,3809,3811],{"className":3810},[620],"03"," (in Metern) ist",[577,3814,3816],{"className":3815},[790],[577,3817,3819,3871],{"className":3818},[580],[577,3820,3822],{"className":3821},[584],[586,3823,3824],{"xmlns":588,"display":799},[590,3825,3826,3868],{},[593,3827,3828,3830,3832,3834,3836,3838,3840,3842,3844,3846,3848,3850,3852,3854,3856,3858,3860,3862,3864,3866],{},[596,3829,678],{},[680,3831,1523],{"stretchy":1522},[596,3833,2097],{},[680,3835,1528],{"stretchy":1522},[680,3837,685],{},[820,3839,3603],{},[596,3841,2107],{},[680,3843,2110],{},[680,3845,1523],{"stretchy":1522},[820,3847,3161],{},[596,3849,2097],{},[680,3851,1528],{"stretchy":1522},[680,3853,812],{},[820,3855,3673],{},[596,3857,2603],{},[680,3859,2110],{},[680,3861,1523],{"stretchy":1522},[820,3863,3161],{},[596,3865,2097],{},[680,3867,1528],{"stretchy":1522},[600,3869,3870],{"encoding":602},"x(t) = 0{,}02\\cos(10t) + 0{,}03\\sin(10t)",[577,3872,3874,3901,3946],{"className":3873,"ariaHidden":607},[606],[577,3875,3877,3880,3883,3886,3889,3892,3895,3898],{"className":3876},[611],[577,3878],{"className":3879,"style":1549},[615],[577,3881,678],{"className":3882},[620,621],[577,3884,1523],{"className":3885},[1114],[577,3887,2097],{"className":3888},[620,621],[577,3890,1528],{"className":3891},[1179],[577,3893],{"className":3894,"style":759},[714],[577,3896,685],{"className":3897},[763],[577,3899],{"className":3900,"style":759},[714],[577,3902,3904,3907,3910,3916,3919,3922,3925,3928,3931,3934,3937,3940,3943],{"className":3903},[611],[577,3905],{"className":3906,"style":1549},[615],[577,3908,822],{"className":3909},[620],[577,3911,3913],{"className":3912},[620],[577,3914,836],{"className":3915},[1014],[577,3917,3646],{"className":3918},[620],[577,3920],{"className":3921,"style":715},[714],[577,3923,2107],{"className":3924},[2203],[577,3926,1523],{"className":3927},[1114],[577,3929,3161],{"className":3930},[620],[577,3932,2097],{"className":3933},[620,621],[577,3935,1528],{"className":3936},[1179],[577,3938],{"className":3939,"style":906},[714],[577,3941,812],{"className":3942},[910],[577,3944],{"className":3945,"style":906},[714],[577,3947,3949,3952,3955,3961,3964,3967,3970,3973,3976,3979],{"className":3948},[611],[577,3950],{"className":3951,"style":1549},[615],[577,3953,822],{"className":3954},[620],[577,3956,3958],{"className":3957},[620],[577,3959,836],{"className":3960},[1014],[577,3962,3811],{"className":3963},[620],[577,3965],{"className":3966,"style":715},[714],[577,3968,2603],{"className":3969},[2203],[577,3971,1523],{"className":3972},[1114],[577,3974,3161],{"className":3975},[620],[577,3977,2097],{"className":3978},[620,621],[577,3980,1528],{"className":3981},[1179],[564,3983,3984,3985,4234,4235,4288],{},"Die größte Auslenkung ist ",[577,3986,3988,4031],{"className":3987},[580],[577,3989,3991],{"className":3990},[584],[586,3992,3993],{"xmlns":588},[590,3994,3995,4028],{},[593,3996,3997,3999,4001,4019,4021,4024,4026],{},[596,3998,2104],{},[680,4000,685],{},[850,4002,4003],{},[593,4004,4005,4011,4013],{},[1260,4006,4007,4009],{},[820,4008,3603],{},[820,4010,825],{},[680,4012,812],{},[1260,4014,4015,4017],{},[820,4016,3673],{},[820,4018,825],{},[680,4020,3196],{},[820,4022,4023],{},"0,0361",[670,4025,672],{},[670,4027,598],{},[600,4029,4030],{"encoding":602},"R = \\sqrt{0{,}02^2 + 0{,}03^2} \\approx 0{,}0361\\,\\text{m}",[577,4032,4034,4052,4206],{"className":4033,"ariaHidden":607},[606],[577,4035,4037,4040,4043,4046,4049],{"className":4036},[611],[577,4038],{"className":4039,"style":1798},[615],[577,4041,2104],{"className":4042,"style":2196},[620,621],[577,4044],{"className":4045,"style":759},[714],[577,4047,685],{"className":4048},[763],[577,4050],{"className":4051,"style":759},[714],[577,4053,4055,4059,4197,4200,4203],{"className":4054},[611],[577,4056],{"className":4057,"style":4058},[615],"height:1.24em;vertical-align:-0.2822em;",[577,4060,4062],{"className":4061},[620,1084],[577,4063,4065,4188],{"className":4064},[723,935],[577,4066,4068,4185],{"className":4067},[727],[577,4069,4072,4172],{"className":4070,"style":4071},[731],"height:0.9578em;",[577,4073,4075,4078],{"className":4074,"style":2315},[1098],[577,4076],{"className":4077,"style":2319},[738],[577,4079,4081,4084,4090,4093,4122,4125,4128,4131,4134,4140,4143],{"className":4080,"style":1107},[620],[577,4082,822],{"className":4083},[620],[577,4085,4087],{"className":4086},[620],[577,4088,836],{"className":4089},[1014],[577,4091,822],{"className":4092},[620],[577,4094,4096,4099],{"className":4095},[620],[577,4097,825],{"className":4098},[620],[577,4100,4102],{"className":4101},[931],[577,4103,4105],{"className":4104},[723],[577,4106,4108],{"className":4107},[727],[577,4109,4111],{"className":4110,"style":2341},[731],[577,4112,4113,4116],{"style":2344},[577,4114],{"className":4115,"style":949},[738],[577,4117,4119],{"className":4118},[953,954,955,956],[577,4120,825],{"className":4121},[620,956],[577,4123],{"className":4124,"style":906},[714],[577,4126,812],{"className":4127},[910],[577,4129],{"className":4130,"style":906},[714],[577,4132,822],{"className":4133},[620],[577,4135,4137],{"className":4136},[620],[577,4138,836],{"className":4139},[1014],[577,4141,822],{"className":4142},[620],[577,4144,4146,4149],{"className":4145},[620],[577,4147,3115],{"className":4148},[620],[577,4150,4152],{"className":4151},[931],[577,4153,4155],{"className":4154},[723],[577,4156,4158],{"className":4157},[727],[577,4159,4161],{"className":4160,"style":2341},[731],[577,4162,4163,4166],{"style":2344},[577,4164],{"className":4165,"style":949},[738],[577,4167,4169],{"className":4168},[953,954,955,956],[577,4170,825],{"className":4171},[620,956],[577,4173,4175,4178],{"style":4174},"top:-2.9178em;",[577,4176],{"className":4177,"style":2319},[738],[577,4179,4181],{"className":4180,"style":2401},[1189],[1192,4182,4183],{"xmlns":1194,"width":1195,"height":2404,"viewBox":2405,"preserveAspectRatio":1198},[1200,4184],{"d":2408},[577,4186,976],{"className":4187},[975],[577,4189,4191],{"className":4190},[727],[577,4192,4195],{"className":4193,"style":4194},[731],"height:0.2822em;",[577,4196],{},[577,4198],{"className":4199,"style":759},[714],[577,4201,3196],{"className":4202},[763],[577,4204],{"className":4205,"style":759},[714],[577,4207,4209,4212,4215,4221,4225,4228],{"className":4208},[611],[577,4210],{"className":4211,"style":1007},[615],[577,4213,822],{"className":4214},[620],[577,4216,4218],{"className":4217},[620],[577,4219,836],{"className":4220},[1014],[577,4222,4224],{"className":4223},[620],"0361",[577,4226],{"className":4227,"style":715},[714],[577,4229,4231],{"className":4230},[620,2955],[577,4232,598],{"className":4233},[620],", also etwa ",[577,4236,4238,4257],{"className":4237},[580],[577,4239,4241],{"className":4240},[584],[586,4242,4243],{"xmlns":588},[590,4244,4245,4254],{},[593,4246,4247,4250,4252],{},[820,4248,4249],{},"3,6",[670,4251,672],{},[670,4253,3045],{},[600,4255,4256],{"encoding":602},"3{,}6\\,\\text{cm}",[577,4258,4260],{"className":4259,"ariaHidden":607},[606],[577,4261,4263,4266,4269,4275,4279,4282],{"className":4262},[611],[577,4264],{"className":4265,"style":1007},[615],[577,4267,3115],{"className":4268},[620],[577,4270,4272],{"className":4271},[620],[577,4273,836],{"className":4274},[1014],[577,4276,4278],{"className":4277},[620],"6",[577,4280],{"className":4281,"style":715},[714],[577,4283,4285],{"className":4284},[620,2955],[577,4286,3045],{"className":4287},[620],".",[559,4290,4292],{"id":4291},"typische-fehler","Typische Fehler",[4294,4295,4296,4709,5169,5387],"ul",{},[4297,4298,4299,4369,4370,4541,4542,4288],"li",{},[577,4300,4302,4320],{"className":4301},[580],[577,4303,4305],{"className":4304},[584],[586,4306,4307],{"xmlns":588},[590,4308,4309,4317],{},[593,4310,4311],{},[841,4312,4313,4315],{},[596,4314,818],{},[820,4316,822],{},[600,4318,4319],{"encoding":602},"\\omega_0",[577,4321,4323],{"className":4322,"ariaHidden":607},[606],[577,4324,4326,4329],{"className":4325},[611],[577,4327],{"className":4328,"style":1577},[615],[577,4330,4332,4335],{"className":4331},[620],[577,4333,818],{"className":4334,"style":927},[620,621],[577,4336,4338],{"className":4337},[931],[577,4339,4341,4361],{"className":4340},[723,935],[577,4342,4344,4358],{"className":4343},[727],[577,4345,4347],{"className":4346,"style":1040},[731],[577,4348,4349,4352],{"style":1043},[577,4350],{"className":4351,"style":949},[738],[577,4353,4355],{"className":4354},[953,954,955,956],[577,4356,822],{"className":4357},[620,956],[577,4359,976],{"className":4360},[975],[577,4362,4364],{"className":4363},[727],[577,4365,4367],{"className":4366,"style":1062},[731],[577,4368],{}," mit der Frequenz verwechseln: Die Frequenz ist ",[577,4371,4373,4404],{"className":4372},[580],[577,4374,4376],{"className":4375},[584],[586,4377,4378],{"xmlns":588},[590,4379,4380,4401],{},[593,4381,4382,4385,4387],{},[596,4383,4384],{},"f",[680,4386,685],{},[853,4388,4389,4395],{},[841,4390,4391,4393],{},[596,4392,818],{},[820,4394,822],{},[593,4396,4397,4399],{},[820,4398,825],{},[596,4400,2747],{},[600,4402,4403],{"encoding":602},"f = \\frac{\\omega_0}{2\\pi}",[577,4405,4407,4426],{"className":4406,"ariaHidden":607},[606],[577,4408,4410,4413,4417,4420,4423],{"className":4409},[611],[577,4411],{"className":4412,"style":2935},[615],[577,4414,4384],{"className":4415,"style":4416},[620,621],"margin-right:0.1076em;",[577,4418],{"className":4419,"style":759},[714],[577,4421,685],{"className":4422},[763],[577,4424],{"className":4425,"style":759},[714],[577,4427,4429,4433],{"className":4428},[611],[577,4430],{"className":4431,"style":4432},[615],"height:1.0565em;vertical-align:-0.345em;",[577,4434,4436,4439,4538],{"className":4435},[620],[577,4437],{"className":4438},[1114,1115],[577,4440,4442],{"className":4441},[853],[577,4443,4445,4530],{"className":4444},[723,935],[577,4446,4448,4527],{"className":4447},[727],[577,4449,4451,4468,4476],{"className":4450,"style":1938},[731],[577,4452,4453,4456],{"style":1941},[577,4454],{"className":4455,"style":739},[738],[577,4457,4459],{"className":4458},[953,954,955,956],[577,4460,4462,4465],{"className":4461},[620,956],[577,4463,825],{"className":4464},[620,956],[577,4466,2747],{"className":4467,"style":927},[620,621,956],[577,4469,4470,4473],{"style":1143},[577,4471],{"className":4472,"style":739},[738],[577,4474],{"className":4475,"style":1151},[1150],[577,4477,4478,4481],{"style":2007},[577,4479],{"className":4480,"style":739},[738],[577,4482,4484],{"className":4483},[953,954,955,956],[577,4485,4487],{"className":4486},[620,956],[577,4488,4490,4493],{"className":4489},[620,956],[577,4491,818],{"className":4492,"style":927},[620,621,956],[577,4494,4496],{"className":4495},[931],[577,4497,4499,4519],{"className":4498},[723,935],[577,4500,4502,4516],{"className":4501},[727],[577,4503,4505],{"className":4504,"style":1969},[731],[577,4506,4507,4510],{"style":1972},[577,4508],{"className":4509,"style":1976},[738],[577,4511,4513],{"className":4512},[953,1980,1981,956],[577,4514,822],{"className":4515},[620,956],[577,4517,976],{"className":4518},[975],[577,4520,4522],{"className":4521},[727],[577,4523,4525],{"className":4524,"style":1994},[731],[577,4526],{},[577,4528,976],{"className":4529},[975],[577,4531,4533],{"className":4532},[727],[577,4534,4536],{"className":4535,"style":2583},[731],[577,4537],{},[577,4539],{"className":4540},[1179,1115],", die Periode 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style=\"margin-right:0.0359em;\">ω\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-2.453em;margin-left:-0.0359em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" 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class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">ω\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">t\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan 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ω₀.",[5603,5604,5605,5606,5607],"differentialgleichung","schwingung","federpendel","kreisfrequenz","dgl zweiter ordnung",[5609,5613,5617,5620,5623,5626],{"symbol":5610,"meaning":5611,"symbolHtml":5612},"x(t)","Auslenkung aus der Ruhelage zur Zeit t","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>t\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x(t)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">t\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":5614,"meaning":5615,"symbolHtml":5616},"\\ddot{x}","zweite Ableitung von x nach der Zeit (Beschleunigung)","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmover accent=\"true\">\u003Cmi>x\u003C\u002Fmi>\u003Cmo>¨\u003C\u002Fmo>\u003C\u002Fmover>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\ddot{x}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6679em;\">\u003C\u002Fspan>\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan 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