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Je nach Stärke der Dämpfung gibt es drei Fälle:",[1875,1876,1877,2411,2681],"ul",{},[1878,1879,1880,1884,1885,1979,1980,2091,2092,2332,2333,2410],"li",{},[1881,1882,1883],"strong",{},"Schwingfall"," ",[568,1886,1888,1911],{"className":1887},[571],[568,1889,1891],{"className":1890},[575],[577,1892,1893],{"xmlns":579},[581,1894,1895,1908],{},[584,1896,1897,1899,1902],{},[587,1898,802],{},[602,1900,1901],{},"\u003C",[952,1903,1904,1906],{},[587,1905,956],{},[813,1907,959],{},[633,1909,1910],{"encoding":635},"\\delta \u003C \\omega_0",[568,1912,1914,1933],{"className":1913,"ariaHidden":597},[640],[568,1915,1917,1921,1924,1927,1930],{"className":1916},[644],[568,1918],{"className":1919,"style":1920},[648],"height:0.7335em;vertical-align:-0.0391em;",[568,1922,802],{"className":1923,"style":833},[653,654],[568,1925],{"className":1926,"style":703},[658],[568,1928,1901],{"className":1929},[707],[568,1931],{"className":1932,"style":703},[658],[568,1934,1936,1939],{"className":1935},[644],[568,1937],{"className":1938,"style":983},[648],[568,1940,1942,1945],{"className":1941},[653],[568,1943,956],{"className":1944,"style":990},[653,654],[568,1946,1948],{"className":1947},[994],[568,1949,1951,1971],{"className":1950},[667,864],[568,1952,1954,1968],{"className":1953},[671],[568,1955,1957],{"className":1956,"style":1004},[675],[568,1958,1959,1962],{"style":1007},[568,1960],{"className":1961,"style":1011},[682],[568,1963,1965],{"className":1964},[881,882,883,884],[568,1966,959],{"className":1967},[653,884],[568,1969,924],{"className":1970},[923],[568,1972,1974],{"className":1973},[671],[568,1975,1977],{"className":1976,"style":1027},[675],[568,1978],{},": komplexe Lösungen ",[568,1981,1983,2013],{"className":1982},[571],[568,1984,1986],{"className":1985},[575],[577,1987,1988],{"xmlns":579},[581,1989,1990,2010],{},[584,1991,1992,1994,1996,1998,2001,2003],{},[602,1993,610],{},[587,1995,802],{},[602,1997,1652],{},[587,1999,2000],{},"i",[591,2002,593],{},[952,2004,2005,2007],{},[587,2006,956],{},[587,2008,2009],{},"d",[633,2011,2012],{"encoding":635},"-\\delta \\pm i\\,\\omega_d",[568,2014,2016,2037],{"className":2015,"ariaHidden":597},[640],[568,2017,2019,2022,2025,2028,2031,2034],{"className":2018},[644],[568,2020],{"className":2021,"style":717},[648],[568,2023,610],{"className":2024},[653],[568,2026,802],{"className":2027,"style":833},[653,654],[568,2029],{"className":2030,"style":734},[658],[568,2032,1652],{"className":2033},[738],[568,2035],{"className":2036,"style":734},[658],[568,2038,2040,2044,2047,2050],{"className":2039},[644],[568,2041],{"className":2042,"style":2043},[648],"height:0.8095em;vertical-align:-0.15em;",[568,2045,2000],{"className":2046},[653,654],[568,2048],{"className":2049,"style":659},[658],[568,2051,2053,2056],{"className":2052},[653],[568,2054,956],{"className":2055,"style":990},[653,654],[568,2057,2059],{"className":2058},[994],[568,2060,2062,2083],{"className":2061},[667,864],[568,2063,2065,2080],{"className":2064},[671],[568,2066,2069],{"className":2067,"style":2068},[675],"height:0.3361em;",[568,2070,2071,2074],{"style":1007},[568,2072],{"className":2073,"style":1011},[682],[568,2075,2077],{"className":2076},[881,882,883,884],[568,2078,2009],{"className":2079},[653,654,884],[568,2081,924],{"className":2082},[923],[568,2084,2086],{"className":2085},[671],[568,2087,2089],{"className":2088,"style":1027},[675],[568,2090],{},". Das System schwingt mit ",[568,2093,2095,2135],{"className":2094},[571],[568,2096,2098],{"className":2097},[575],[577,2099,2100],{"xmlns":579},[581,2101,2102,2132],{},[584,2103,2104,2110,2112],{},[952,2105,2106,2108],{},[587,2107,956],{},[587,2109,2009],{},[602,2111,607],{},[963,2113,2114],{},[584,2115,2116,2124,2126],{},[1218,2117,2118,2120,2122],{},[587,2119,956],{},[813,2121,959],{},[813,2123,815],{},[602,2125,610],{},[1445,2127,2128,2130],{},[587,2129,802],{},[813,2131,815],{},[633,2133,2134],{"encoding":635},"\\omega_d = \\sqrt{\\omega_0^2 - \\delta^2}",[568,2136,2138,2193],{"className":2137,"ariaHidden":597},[640],[568,2139,2141,2144,2184,2187,2190],{"className":2140},[644],[568,2142],{"className":2143,"style":983},[648],[568,2145,2147,2150],{"className":2146},[653],[568,2148,956],{"className":2149,"style":990},[653,654],[568,2151,2153],{"className":2152},[994],[568,2154,2156,2176],{"className":2155},[667,864],[568,2157,2159,2173],{"className":2158},[671],[568,2160,2162],{"className":2161,"style":2068},[675],[568,2163,2164,2167],{"style":1007},[568,2165],{"className":2166,"style":1011},[682],[568,2168,2170],{"className":2169},[881,882,883,884],[568,2171,2009],{"className":2172},[653,654,884],[568,2174,924],{"className":2175},[923],[568,2177,2179],{"className":2178},[671],[568,2180,2182],{"className":2181,"style":1027},[675],[568,2183],{},[568,2185],{"className":2186,"style":703},[658],[568,2188,607],{"className":2189},[707],[568,2191],{"className":2192,"style":703},[658],[568,2194,2196,2199],{"className":2195},[644],[568,2197],{"className":2198,"style":1724},[648],[568,2200,2202],{"className":2201},[653,1049],[568,2203,2205,2324],{"className":2204},[667,864],[568,2206,2208,2321],{"className":2207},[671],[568,2209,2211,2309],{"className":2210,"style":1737},[675],[568,2212,2214,2217],{"className":2213,"style":1741},[1063],[568,2215],{"className":2216,"style":1745},[682],[568,2218,2220,2271,2274,2277,2280],{"className":2219,"style":1072},[653],[568,2221,2223,2226],{"className":2222},[653],[568,2224,956],{"className":2225,"style":990},[653,654],[568,2227,2229],{"className":2228},[994],[568,2230,2232,2263],{"className":2231},[667,864],[568,2233,2235,2260],{"className":2234},[671],[568,2236,2238,2249],{"className":2237,"style":1807},[675],[568,2239,2240,2243],{"style":1810},[568,2241],{"className":2242,"style":1011},[682],[568,2244,2246],{"className":2245},[881,882,883,884],[568,2247,959],{"className":2248},[653,884],[568,2250,2251,2254],{"style":1822},[568,2252],{"className":2253,"style":1011},[682],[568,2255,2257],{"className":2256},[881,882,883,884],[568,2258,815],{"className":2259},[653,884],[568,2261,924],{"className":2262},[923],[568,2264,2266],{"className":2265},[671],[568,2267,2269],{"className":2268,"style":1841},[675],[568,2270],{},[568,2272],{"className":2273,"style":734},[658],[568,2275,610],{"className":2276},[738],[568,2278],{"className":2279,"style":734},[658],[568,2281,2283,2286],{"className":2282},[653],[568,2284,802],{"className":2285,"style":833},[653,654],[568,2287,2289],{"className":2288},[994],[568,2290,2292],{"className":2291},[667],[568,2293,2295],{"className":2294},[671],[568,2296,2298],{"className":2297,"style":1767},[675],[568,2299,2300,2303],{"style":1770},[568,2301],{"className":2302,"style":1011},[682],[568,2304,2306],{"className":2305},[881,882,883,884],[568,2307,815],{"className":2308},[653,884],[568,2310,2311,2314],{"style":1846},[568,2312],{"className":2313,"style":1745},[682],[568,2315,2317],{"className":2316,"style":1853},[1150],[1153,2318,2319],{"xmlns":1155,"width":1156,"height":1856,"viewBox":1857,"preserveAspectRatio":1159},[1161,2320],{"d":1860},[568,2322,924],{"className":2323},[923],[568,2325,2327],{"className":2326},[671],[568,2328,2330],{"className":2329,"style":1870},[675],[568,2331],{},", die Amplitude nimmt wie ",[568,2334,2336,2362],{"className":2335},[571],[568,2337,2339],{"className":2338},[575],[577,2340,2341],{"xmlns":579},[581,2342,2343,2359],{},[584,2344,2345],{},[1445,2346,2347,2350],{},[587,2348,2349],{},"e",[584,2351,2352,2354,2356],{},[602,2353,610],{},[587,2355,802],{},[587,2357,2358],{},"t",[633,2360,2361],{"encoding":635},"e^{-\\delta t}",[568,2363,2365],{"className":2364,"ariaHidden":597},[640],[568,2366,2368,2372],{"className":2367},[644],[568,2369],{"className":2370,"style":2371},[648],"height:0.8491em;",[568,2373,2375,2378],{"className":2374},[653],[568,2376,2349],{"className":2377},[653,654],[568,2379,2381],{"className":2380},[994],[568,2382,2384],{"className":2383},[667],[568,2385,2387],{"className":2386},[671],[568,2388,2390],{"className":2389,"style":2371},[675],[568,2391,2392,2395],{"style":1508},[568,2393],{"className":2394,"style":1011},[682],[568,2396,2398],{"className":2397},[881,882,883,884],[568,2399,2401,2404,2407],{"className":2400},[653,884],[568,2402,610],{"className":2403},[653,884],[568,2405,802],{"className":2406,"style":833},[653,654,884],[568,2408,2358],{"className":2409},[653,654,884]," ab (Formel oben).",[1878,2412,2413,1884,2416,2508,2509,2680],{},[1881,2414,2415],{},"Aperiodischer Grenzfall",[568,2417,2419,2441],{"className":2418},[571],[568,2420,2422],{"className":2421},[575],[577,2423,2424],{"xmlns":579},[581,2425,2426,2438],{},[584,2427,2428,2430,2432],{},[587,2429,802],{},[602,2431,607],{},[952,2433,2434,2436],{},[587,2435,956],{},[813,2437,959],{},[633,2439,2440],{"encoding":635},"\\delta = \\omega_0",[568,2442,2444,2462],{"className":2443,"ariaHidden":597},[640],[568,2445,2447,2450,2453,2456,2459],{"className":2446},[644],[568,2448],{"className":2449,"style":748},[648],[568,2451,802],{"className":2452,"style":833},[653,654],[568,2454],{"className":2455,"style":703},[658],[568,2457,607],{"className":2458},[707],[568,2460],{"className":2461,"style":703},[658],[568,2463,2465,2468],{"className":2464},[644],[568,2466],{"className":2467,"style":983},[648],[568,2469,2471,2474],{"className":2470},[653],[568,2472,956],{"className":2473,"style":990},[653,654],[568,2475,2477],{"className":2476},[994],[568,2478,2480,2500],{"className":2479},[667,864],[568,2481,2483,2497],{"className":2482},[671],[568,2484,2486],{"className":2485,"style":1004},[675],[568,2487,2488,2491],{"style":1007},[568,2489],{"className":2490,"style":1011},[682],[568,2492,2494],{"className":2493},[881,882,883,884],[568,2495,959],{"className":2496},[653,884],[568,2498,924],{"className":2499},[923],[568,2501,2503],{"className":2502},[671],[568,2504,2506],{"className":2505,"style":1027},[675],[568,2507],{},": doppelte Lösung, ",[568,2510,2512,2567],{"className":2511},[571],[568,2513,2515],{"className":2514},[575],[577,2516,2517],{"xmlns":579},[581,2518,2519,2564],{},[584,2520,2521,2523,2527,2529,2532,2534,2536,2539,2541,2544,2546,2548,2550,2552],{},[587,2522,600],{},[602,2524,2526],{"stretchy":2525},"false","(",[587,2528,2358],{},[602,2530,2531],{"stretchy":2525},")",[602,2533,607],{},[602,2535,2526],{"stretchy":2525},[587,2537,2538],{},"A",[602,2540,1202],{},[587,2542,2543],{},"B",[591,2545,593],{},[587,2547,2358],{},[602,2549,2531],{"stretchy":2525},[591,2551,593],{},[1445,2553,2554,2556],{},[587,2555,2349],{},[584,2557,2558,2560,2562],{},[602,2559,610],{},[587,2561,802],{},[587,2563,2358],{},[633,2565,2566],{"encoding":635},"x(t) = (A + B\\,t)\\,e^{-\\delta t}",[568,2568,2570,2598,2619],{"className":2569,"ariaHidden":597},[640],[568,2571,2573,2577,2580,2583,2586,2589,2592,2595],{"className":2572},[644],[568,2574],{"className":2575,"style":2576},[648],"height:1em;vertical-align:-0.25em;",[568,2578,600],{"className":2579},[653,654],[568,2581,2526],{"className":2582},[856],[568,2584,2358],{"className":2585},[653,654],[568,2587,2531],{"className":2588},[937],[568,2590],{"className":2591,"style":703},[658],[568,2593,607],{"className":2594},[707],[568,2596],{"className":2597,"style":703},[658],[568,2599,2601,2604,2607,2610,2613,2616],{"className":2600},[644],[568,2602],{"className":2603,"style":2576},[648],[568,2605,2526],{"className":2606},[856],[568,2608,2538],{"className":2609},[653,654],[568,2611],{"className":2612,"style":734},[658],[568,2614,1202],{"className":2615},[738],[568,2617],{"className":2618,"style":734},[658],[568,2620,2622,2626,2630,2633,2636,2639,2642],{"className":2621},[644],[568,2623],{"className":2624,"style":2625},[648],"height:1.0991em;vertical-align:-0.25em;",[568,2627,2543],{"className":2628,"style":2629},[653,654],"margin-right:0.0502em;",[568,2631],{"className":2632,"style":659},[658],[568,2634,2358],{"className":2635},[653,654],[568,2637,2531],{"className":2638},[937],[568,2640],{"className":2641,"style":659},[658],[568,2643,2645,2648],{"className":2644},[653],[568,2646,2349],{"className":2647},[653,654],[568,2649,2651],{"className":2650},[994],[568,2652,2654],{"className":2653},[667],[568,2655,2657],{"className":2656},[671],[568,2658,2660],{"className":2659,"style":2371},[675],[568,2661,2662,2665],{"style":1508},[568,2663],{"className":2664,"style":1011},[682],[568,2666,2668],{"className":2667},[881,882,883,884],[568,2669,2671,2674,2677],{"className":2670},[653,884],[568,2672,610],{"className":2673},[653,884],[568,2675,802],{"className":2676,"style":833},[653,654,884],[568,2678,2358],{"className":2679},[653,654,884],". Schnellste Rückkehr in die Ruhelage ohne Überschwingen.",[1878,2682,2683,1884,2686,2779,2780,3131,3132,3332],{},[1881,2684,2685],{},"Kriechfall",[568,2687,2689,2712],{"className":2688},[571],[568,2690,2692],{"className":2691},[575],[577,2693,2694],{"xmlns":579},[581,2695,2696,2709],{},[584,2697,2698,2700,2703],{},[587,2699,802],{},[602,2701,2702],{},">",[952,2704,2705,2707],{},[587,2706,956],{},[813,2708,959],{},[633,2710,2711],{"encoding":635},"\\delta > \\omega_0",[568,2713,2715,2733],{"className":2714,"ariaHidden":597},[640],[568,2716,2718,2721,2724,2727,2730],{"className":2717},[644],[568,2719],{"className":2720,"style":1920},[648],[568,2722,802],{"className":2723,"style":833},[653,654],[568,2725],{"className":2726,"style":703},[658],[568,2728,2702],{"className":2729},[707],[568,2731],{"className":2732,"style":703},[658],[568,2734,2736,2739],{"className":2735},[644],[568,2737],{"className":2738,"style":983},[648],[568,2740,2742,2745],{"className":2741},[653],[568,2743,956],{"className":2744,"style":990},[653,654],[568,2746,2748],{"className":2747},[994],[568,2749,2751,2771],{"className":2750},[667,864],[568,2752,2754,2768],{"className":2753},[671],[568,2755,2757],{"className":2756,"style":1004},[675],[568,2758,2759,2762],{"style":1007},[568,2760],{"className":2761,"style":1011},[682],[568,2763,2765],{"className":2764},[881,882,883,884],[568,2766,959],{"className":2767},[653,884],[568,2769,924],{"className":2770},[923],[568,2772,2774],{"className":2773},[671],[568,2775,2777],{"className":2776,"style":1027},[675],[568,2778],{},": zwei negative reelle Lösungen, ",[568,2781,2783,2865],{"className":2782},[571],[568,2784,2786],{"className":2785},[575],[577,2787,2788],{"xmlns":579},[581,2789,2790,2862],{},[584,2791,2792,2794,2796,2798,2800,2802,2814,2817,2825,2827,2838,2840,2846,2848,2860],{},[587,2793,600],{},[602,2795,2526],{"stretchy":2525},[587,2797,2358],{},[602,2799,2531],{"stretchy":2525},[602,2801,607],{},[1445,2803,2804,2806],{},[587,2805,2349],{},[584,2807,2808,2810,2812],{},[602,2809,610],{},[587,2811,802],{},[587,2813,2358],{},[602,2815,2526],{"fence":597,"stretchy":597,"minsize":2816,"maxsize":2816},"1.2em",[952,2818,2819,2822],{},[587,2820,2821],{},"C",[813,2823,2824],{},"1",[591,2826,593],{},[1445,2828,2829,2831],{},[587,2830,2349],{},[584,2832,2833,2836],{},[587,2834,2835],{},"μ",[587,2837,2358],{},[602,2839,1202],{},[952,2841,2842,2844],{},[587,2843,2821],{},[813,2845,815],{},[591,2847,593],{},[1445,2849,2850,2852],{},[587,2851,2349],{},[584,2853,2854,2856,2858],{},[602,2855,610],{},[587,2857,2835],{},[587,2859,2358],{},[602,2861,2531],{"fence":597,"stretchy":597,"minsize":2816,"maxsize":2816},[633,2863,2864],{"encoding":635},"x(t) = e^{-\\delta t}\\bigl(C_1\\,e^{\\mu t} + C_2\\,e^{-\\mu t}\\bigr)",[568,2866,2868,2895,3038],{"className":2867,"ariaHidden":597},[640],[568,2869,2871,2874,2877,2880,2883,2886,2889,2892],{"className":2870},[644],[568,2872],{"className":2873,"style":2576},[648],[568,2875,600],{"className":2876},[653,654],[568,2878,2526],{"className":2879},[856],[568,2881,2358],{"className":2882},[653,654],[568,2884,2531],{"className":2885},[937],[568,2887],{"className":2888,"style":703},[658],[568,2890,607],{"className":2891},[707],[568,2893],{"className":2894,"style":703},[658],[568,2896,2898,2902,2940,2948,2990,2993,3029,3032,3035],{"className":2897},[644],[568,2899],{"className":2900,"style":2901},[648],"height:1.2em;vertical-align:-0.35em;",[568,2903,2905,2908],{"className":2904},[653],[568,2906,2349],{"className":2907},[653,654],[568,2909,2911],{"className":2910},[994],[568,2912,2914],{"className":2913},[667],[568,2915,2917],{"className":2916},[671],[568,2918,2920],{"className":2919,"style":2371},[675],[568,2921,2922,2925],{"style":1508},[568,2923],{"className":2924,"style":1011},[682],[568,2926,2928],{"className":2927},[881,882,883,884],[568,2929,2931,2934,2937],{"className":2930},[653,884],[568,2932,610],{"className":2933},[653,884],[568,2935,802],{"className":2936,"style":833},[653,654,884],[568,2938,2358],{"className":2939},[653,654,884],[568,2941,2943],{"className":2942},[856],[568,2944,2526],{"className":2945},[2946,2947],"delimsizing","size1",[568,2949,2951,2955],{"className":2950},[653],[568,2952,2821],{"className":2953,"style":2954},[653,654],"margin-right:0.0715em;",[568,2956,2958],{"className":2957},[994],[568,2959,2961,2982],{"className":2960},[667,864],[568,2962,2964,2979],{"className":2963},[671],[568,2965,2967],{"className":2966,"style":1004},[675],[568,2968,2970,2973],{"style":2969},"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;",[568,2971],{"className":2972,"style":1011},[682],[568,2974,2976],{"className":2975},[881,882,883,884],[568,2977,2824],{"className":2978},[653,884],[568,2980,924],{"className":2981},[923],[568,2983,2985],{"className":2984},[671],[568,2986,2988],{"className":2987,"style":1027},[675],[568,2989],{},[568,2991],{"className":2992,"style":659},[658],[568,2994,2996,2999],{"className":2995},[653],[568,2997,2349],{"className":2998},[653,654],[568,3000,3002],{"className":3001},[994],[568,3003,3005],{"className":3004},[667],[568,3006,3008],{"className":3007},[671],[568,3009,3012],{"className":3010,"style":3011},[675],"height:0.7936em;",[568,3013,3014,3017],{"style":1508},[568,3015],{"className":3016,"style":1011},[682],[568,3018,3020],{"className":3019},[881,882,883,884],[568,3021,3023,3026],{"className":3022},[653,884],[568,3024,2835],{"className":3025},[653,654,884],[568,3027,2358],{"className":3028},[653,654,884],[568,3030],{"className":3031,"style":734},[658],[568,3033,1202],{"className":3034},[738],[568,3036],{"className":3037,"style":734},[658],[568,3039,3041,3044,3084,3087,3125],{"className":3040},[644],[568,3042],{"className":3043,"style":2901},[648],[568,3045,3047,3050],{"className":3046},[653],[568,3048,2821],{"className":3049,"style":2954},[653,654],[568,3051,3053],{"className":3052},[994],[568,3054,3056,3076],{"className":3055},[667,864],[568,3057,3059,3073],{"className":3058},[671],[568,3060,3062],{"className":3061,"style":1004},[675],[568,3063,3064,3067],{"style":2969},[568,3065],{"className":3066,"style":1011},[682],[568,3068,3070],{"className":3069},[881,882,883,884],[568,3071,815],{"className":3072},[653,884],[568,3074,924],{"className":3075},[923],[568,3077,3079],{"className":3078},[671],[568,3080,3082],{"className":3081,"style":1027},[675],[568,3083],{},[568,3085],{"className":3086,"style":659},[658],[568,3088,3090,3093],{"className":3089},[653],[568,3091,2349],{"className":3092},[653,654],[568,3094,3096],{"className":3095},[994],[568,3097,3099],{"className":3098},[667],[568,3100,3102],{"className":3101},[671],[568,3103,3105],{"className":3104,"style":3011},[675],[568,3106,3107,3110],{"style":1508},[568,3108],{"className":3109,"style":1011},[682],[568,3111,3113],{"className":3112},[881,882,883,884],[568,3114,3116,3119,3122],{"className":3115},[653,884],[568,3117,610],{"className":3118},[653,884],[568,3120,2835],{"className":3121},[653,654,884],[568,3123,2358],{"className":3124},[653,654,884],[568,3126,3128],{"className":3127},[937],[568,3129,2531],{"className":3130},[2946,2947]," mit ",[568,3133,3135,3171],{"className":3134},[571],[568,3136,3138],{"className":3137},[575],[577,3139,3140],{"xmlns":579},[581,3141,3142,3168],{},[584,3143,3144,3146,3148],{},[587,3145,2835],{},[602,3147,607],{},[963,3149,3150],{},[584,3151,3152,3158,3160],{},[1445,3153,3154,3156],{},[587,3155,802],{},[813,3157,815],{},[602,3159,610],{},[1218,3161,3162,3164,3166],{},[587,3163,956],{},[813,3165,959],{},[813,3167,815],{},[633,3169,3170],{"encoding":635},"\\mu = \\sqrt{\\delta^2 - \\omega_0^2}",[568,3172,3174,3193],{"className":3173,"ariaHidden":597},[640],[568,3175,3177,3181,3184,3187,3190],{"className":3176},[644],[568,3178],{"className":3179,"style":3180},[648],"height:0.625em;vertical-align:-0.1944em;",[568,3182,2835],{"className":3183},[653,654],[568,3185],{"className":3186,"style":703},[658],[568,3188,607],{"className":3189},[707],[568,3191],{"className":3192,"style":703},[658],[568,3194,3196,3199],{"className":3195},[644],[568,3197],{"className":3198,"style":1724},[648],[568,3200,3202],{"className":3201},[653,1049],[568,3203,3205,3324],{"className":3204},[667,864],[568,3206,3208,3321],{"className":3207},[671],[568,3209,3211,3309],{"className":3210,"style":1737},[675],[568,3212,3214,3217],{"className":3213,"style":1741},[1063],[568,3215],{"className":3216,"style":1745},[682],[568,3218,3220,3249,3252,3255,3258],{"className":3219,"style":1072},[653],[568,3221,3223,3226],{"className":3222},[653],[568,3224,802],{"className":3225,"style":833},[653,654],[568,3227,3229],{"className":3228},[994],[568,3230,3232],{"className":3231},[667],[568,3233,3235],{"className":3234},[671],[568,3236,3238],{"className":3237,"style":1767},[675],[568,3239,3240,3243],{"style":1770},[568,3241],{"className":3242,"style":1011},[682],[568,3244,3246],{"className":3245},[881,882,883,884],[568,3247,815],{"className":3248},[653,884],[568,3250],{"className":3251,"style":734},[658],[568,3253,610],{"className":3254},[738],[568,3256],{"className":3257,"style":734},[658],[568,3259,3261,3264],{"className":3260},[653],[568,3262,956],{"className":3263,"style":990},[653,654],[568,3265,3267],{"className":3266},[994],[568,3268,3270,3301],{"className":3269},[667,864],[568,3271,3273,3298],{"className":3272},[671],[568,3274,3276,3287],{"className":3275,"style":1807},[675],[568,3277,3278,3281],{"style":1810},[568,3279],{"className":3280,"style":1011},[682],[568,3282,3284],{"className":3283},[881,882,883,884],[568,3285,959],{"className":3286},[653,884],[568,3288,3289,3292],{"style":1822},[568,3290],{"className":3291,"style":1011},[682],[568,3293,3295],{"className":3294},[881,882,883,884],[568,3296,815],{"className":3297},[653,884],[568,3299,924],{"className":3300},[923],[568,3302,3304],{"className":3303},[671],[568,3305,3307],{"className":3306,"style":1841},[675],[568,3308],{},[568,3310,3311,3314],{"style":1846},[568,3312],{"className":3313,"style":1745},[682],[568,3315,3317],{"className":3316,"style":1853},[1150],[1153,3318,3319],{"xmlns":1155,"width":1156,"height":1856,"viewBox":1857,"preserveAspectRatio":1159},[1161,3320],{"d":1860},[568,3322,924],{"className":3323},[923],[568,3325,3327],{"className":3326},[671],[568,3328,3330],{"className":3329,"style":1870},[675],[568,3331],{},". Das System kriecht langsam zurück.",[564,3334,3335,3336,938,3403,3580,3581,3802,3803,3919],{},"Im Schwingfall ergeben die Anfangswerte ",[568,3337,3339,3363],{"className":3338},[571],[568,3340,3342],{"className":3341},[575],[577,3343,3344],{"xmlns":579},[581,3345,3346,3360],{},[584,3347,3348,3350,3352,3354,3356,3358],{},[587,3349,2538],{},[602,3351,607],{},[587,3353,600],{},[602,3355,2526],{"stretchy":2525},[813,3357,959],{},[602,3359,2531],{"stretchy":2525},[633,3361,3362],{"encoding":635},"A = x(0)",[568,3364,3366,3385],{"className":3365,"ariaHidden":597},[640],[568,3367,3369,3373,3376,3379,3382],{"className":3368},[644],[568,3370],{"className":3371,"style":3372},[648],"height:0.6833em;",[568,3374,2538],{"className":3375},[653,654],[568,3377],{"className":3378,"style":703},[658],[568,3380,607],{"className":3381},[707],[568,3383],{"className":3384,"style":703},[658],[568,3386,3388,3391,3394,3397,3400],{"className":3387},[644],[568,3389],{"className":3390,"style":2576},[648],[568,3392,600],{"className":3393},[653,654],[568,3395,2526],{"className":3396},[856],[568,3398,959],{"className":3399},[653],[568,3401,2531],{"className":3402},[937],[568,3404,3406,3448],{"className":3405},[571],[568,3407,3409],{"className":3408},[575],[577,3410,3411],{"xmlns":579},[581,3412,3413,3445],{},[584,3414,3415,3417,3419,3421,3423,3429,3431,3433,3439,3441,3443],{},[602,3416,610],{},[587,3418,802],{},[587,3420,2538],{},[602,3422,1202],{},[952,3424,3425,3427],{},[587,3426,956],{},[587,3428,2009],{},[587,3430,2543],{},[602,3432,607],{},[595,3434,3435,3437],{"accent":597},[587,3436,600],{},[602,3438,631],{},[602,3440,2526],{"stretchy":2525},[813,3442,959],{},[602,3444,2531],{"stretchy":2525},[633,3446,3447],{"encoding":635},"-\\delta A + \\omega_d B = \\dot{x}(0)",[568,3449,3451,3475,3534],{"className":3450,"ariaHidden":597},[640],[568,3452,3454,3457,3460,3463,3466,3469,3472],{"className":3453},[644],[568,3455],{"className":3456,"style":717},[648],[568,3458,610],{"className":3459},[653],[568,3461,802],{"className":3462,"style":833},[653,654],[568,3464,2538],{"className":3465},[653,654],[568,3467],{"className":3468,"style":734},[658],[568,3470,1202],{"className":3471},[738],[568,3473],{"className":3474,"style":734},[658],[568,3476,3478,3482,3522,3525,3528,3531],{"className":3477},[644],[568,3479],{"className":3480,"style":3481},[648],"height:0.8333em;vertical-align:-0.15em;",[568,3483,3485,3488],{"className":3484},[653],[568,3486,956],{"className":3487,"style":990},[653,654],[568,3489,3491],{"className":3490},[994],[568,3492,3494,3514],{"className":3493},[667,864],[568,3495,3497,3511],{"className":3496},[671],[568,3498,3500],{"className":3499,"style":2068},[675],[568,3501,3502,3505],{"style":1007},[568,3503],{"className":3504,"style":1011},[682],[568,3506,3508],{"className":3507},[881,882,883,884],[568,3509,2009],{"className":3510},[653,654,884],[568,3512,924],{"className":3513},[923],[568,3515,3517],{"className":3516},[671],[568,3518,3520],{"className":3519,"style":1027},[675],[568,3521],{},[568,3523,2543],{"className":3524,"style":2629},[653,654],[568,3526],{"className":3527,"style":703},[658],[568,3529,607],{"className":3530},[707],[568,3532],{"className":3533,"style":703},[658],[568,3535,3537,3540,3571,3574,3577],{"className":3536},[644],[568,3538],{"className":3539,"style":2576},[648],[568,3541,3543],{"className":3542},[653,663],[568,3544,3546],{"className":3545},[667],[568,3547,3549],{"className":3548},[671],[568,3550,3552,3560],{"className":3551,"style":649},[675],[568,3553,3554,3557],{"style":678},[568,3555],{"className":3556,"style":683},[682],[568,3558,600],{"className":3559},[653,654],[568,3561,3562,3565],{"style":678},[568,3563],{"className":3564,"style":683},[682],[568,3566,3568],{"className":3567,"style":783},[695],[568,3569,631],{"className":3570},[653],[568,3572,2526],{"className":3573},[856],[568,3575,959],{"className":3576},[653],[568,3578,2531],{"className":3579},[937],". Nach einer Periode ",[568,3582,3584,3620],{"className":3583},[571],[568,3585,3587],{"className":3586},[575],[577,3588,3589],{"xmlns":579},[581,3590,3591,3617],{},[584,3592,3593,3600,3602],{},[952,3594,3595,3598],{},[587,3596,3597],{},"T",[587,3599,2009],{},[602,3601,607],{},[806,3603,3604,3611],{},[584,3605,3606,3608],{},[813,3607,815],{},[587,3609,3610],{},"π",[952,3612,3613,3615],{},[587,3614,956],{},[587,3616,2009],{},[633,3618,3619],{"encoding":635},"T_d = 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0{,}1",[568,5032,5034,5052],{"className":5033,"ariaHidden":597},[640],[568,5035,5037,5040,5043,5046,5049],{"className":5036},[644],[568,5038],{"className":5039,"style":3372},[648],[568,5041,2538],{"className":5042},[653,654],[568,5044],{"className":5045,"style":703},[658],[568,5047,607],{"className":5048},[707],[568,5050],{"className":5051,"style":703},[658],[568,5053,5055,5058,5061,5067],{"className":5054},[644],[568,5056],{"className":5057,"style":4812},[648],[568,5059,959],{"className":5060},[653],[568,5062,5064],{"className":5063},[653],[568,5065,4157],{"className":5066},[4403],[568,5068,2824],{"className":5069},[653],[568,5071,5073,5118],{"className":5072},[571],[568,5074,5076],{"className":5075},[575],[577,5077,5078],{"xmlns":579},[581,5079,5080,5115],{},[584,5081,5082,5084,5086,5100,5102,5110,5112],{},[587,5083,2543],{},[602,5085,607],{},[806,5087,5088,5094],{},[584,5089,5090,5092],{},[587,5091,802],{},[587,5093,2538],{},[952,5095,5096,5098],{},[587,5097,956],{},[587,5099,2009],{},[602,5101,607],{},[806,5103,5104,5106],{},[813,5105,4795],{},[963,5107,5108],{},[813,5109,4212],{},[602,5111,4215],{},[813,5113,5114],{},"0,0204",[633,5116,5117],{"encoding":635},"B = \\frac{\\delta A}{\\omega_d} = \\frac{0{,}1}{\\sqrt{24}} \\approx 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[568,5420,4157],{"className":5421},[4403],[568,5423,5425],{"className":5424},[653],"0204",":",[568,5428,5430],{"className":5429},[1180],[568,5431,5433,5506],{"className":5432},[571],[568,5434,5436],{"className":5435},[575],[577,5437,5438],{"xmlns":579,"display":1189},[581,5439,5440,5503],{},[584,5441,5442,5444,5446,5448,5450,5452,5462,5464,5466,5469,5472,5474,5476,5478,5480,5482,5484,5486,5489,5491,5493,5495,5497,5499,5501],{},[587,5443,600],{},[602,5445,2526],{"stretchy":2525},[587,5447,2358],{},[602,5449,2531],{"stretchy":2525},[602,5451,607],{},[1445,5453,5454,5456],{},[587,5455,2349],{},[584,5457,5458,5460],{},[602,5459,610],{},[587,5461,2358],{},[602,5463,2526],{"fence":597,"stretchy":597,"minsize":2816,"maxsize":2816},[813,5465,4795],{},[587,5467,5468],{},"cos",[602,5470,5471],{},"⁡",[602,5473,2526],{"stretchy":2525},[813,5475,4218],{},[591,5477,593],{},[587,5479,2358],{},[602,5481,2531],{"stretchy":2525},[602,5483,1202],{},[813,5485,5114],{},[587,5487,5488],{},"sin",[602,5490,5471],{},[602,5492,2526],{"stretchy":2525},[813,5494,4218],{},[591,5496,593],{},[587,5498,2358],{},[602,5500,2531],{"stretchy":2525},[602,5502,2531],{"fence":597,"stretchy":597,"minsize":2816,"maxsize":2816},[633,5504,5505],{"encoding":635},"x(t) = e^{-t} \\bigl( 0{,}1\\cos(4{,}899\\,t) + 0{,}0204\\sin(4{,}899\\,t) \\bigr)",[568,5507,5509,5536,5636],{"className":5508,"ariaHidden":597},[640],[568,5510,5512,5515,5518,5521,5524,5527,5530,5533],{"className":5511},[644],[568,5513],{"className":5514,"style":2576},[648],[568,5516,600],{"className":5517},[653,654],[568,5519,2526],{"className":5520},[856],[568,5522,2358],{"className":5523},[653,654],[568,5525,2531],{"className":5526},[937],[568,5528],{"className":5529,"style":703},[658],[568,5531,607],{"className":5532},[707],[568,5534],{"className":5535,"style":703},[658],[568,5537,5539,5542,5578,5584,5587,5593,5596,5599,5603,5606,5609,5615,5618,5621,5624,5627,5630,5633],{"className":5538},[644],[568,5540],{"className":5541,"style":2901},[648],[568,5543,5545,5548],{"className":5544},[653],[568,5546,2349],{"className":5547},[653,654],[568,5549,5551],{"className":5550},[994],[568,5552,5554],{"className":5553},[667],[568,5555,5557],{"className":5556},[671],[568,5558,5561],{"className":5559,"style":5560},[675],"height:0.8436em;",[568,5562,5563,5566],{"style":1382},[568,5564],{"className":5565,"style":1011},[682],[568,5567,5569],{"className":5568},[881,882,883,884],[568,5570,5572,5575],{"className":5571},[653,884],[568,5573,610],{"className":5574},[653,884],[568,5576,2358],{"className":5577},[653,654,884],[568,5579,5581],{"className":5580},[856],[568,5582,2526],{"className":5583},[2946,2947],[568,5585,959],{"className":5586},[653],[568,5588,5590],{"className":5589},[653],[568,5591,4157],{"className":5592},[4403],[568,5594,2824],{"className":5595},[653],[568,5597],{"className":5598,"style":659},[658],[568,5600,5468],{"className":5601},[5602],"mop",[568,5604,2526],{"className":5605},[856],[568,5607,4726],{"className":5608},[653],[568,5610,5612],{"className":5611},[653],[568,5613,4157],{"className":5614},[4403],[568,5616,4736],{"className":5617},[653],[568,5619],{"className":5620,"style":659},[658],[568,5622,2358],{"className":5623},[653,654],[568,5625,2531],{"className":5626},[937],[568,5628],{"className":5629,"style":734},[658],[568,5631,1202],{"className":5632},[738],[568,5634],{"className":5635,"style":734},[658],[568,5637,5639,5642,5645,5651,5654,5657,5660,5663,5666,5672,5675,5678,5681,5684],{"className":5638},[644],[568,5640],{"className":5641,"style":2901},[648],[568,5643,959],{"className":5644},[653],[568,5646,5648],{"className":5647},[653],[568,5649,4157],{"className":5650},[4403],[568,5652,5425],{"className":5653},[653],[568,5655],{"className":5656,"style":659},[658],[568,5658,5488],{"className":5659},[5602],[568,5661,2526],{"className":5662},[856],[568,5664,4726],{"className":5665},[653],[568,5667,5669],{"className":5668},[653],[568,5670,4157],{"className":5671},[4403],[568,5673,4736],{"className":5674},[653],[568,5676],{"className":5677,"style":659},[658],[568,5679,2358],{"className":5680},[653,654],[568,5682,2531],{"className":5683},[937],[568,5685,5687],{"className":5686},[937],[568,5688,2531],{"className":5689},[2946,2947],[564,5691,5692,5693,5954,5955,6066],{},"Eine Periode dauert ",[568,5694,5696,5737],{"className":5695},[571],[568,5697,5699],{"className":5698},[575],[577,5700,5701],{"xmlns":579},[581,5702,5703,5734],{},[584,5704,5705,5711,5713,5725,5727,5730,5732],{},[952,5706,5707,5709],{},[587,5708,3597],{},[587,5710,2009],{},[602,5712,607],{},[806,5714,5715,5721],{},[584,5716,5717,5719],{},[813,5718,815],{},[587,5720,3610],{},[963,5722,5723],{},[813,5724,4212],{},[602,5726,4215],{},[813,5728,5729],{},"1,2825",[591,5731,593],{},[591,5733,4148],{},[633,5735,5736],{"encoding":635},"T_d = \\frac{2\\pi}{\\sqrt{24}} \\approx 1{,}2825\\,\\text{s}",[568,5738,5740,5795,5926],{"className":5739,"ariaHidden":597},[640],[568,5741,5743,5746,5786,5789,5792],{"className":5742},[644],[568,5744],{"className":5745,"style":3481},[648],[568,5747,5749,5752],{"className":5748},[653],[568,5750,3597],{"className":5751,"style":3635},[653,654],[568,5753,5755],{"className":5754},[994],[568,5756,5758,5778],{"className":5757},[667,864],[568,5759,5761,5775],{"className":5760},[671],[568,5762,5764],{"className":5763,"style":2068},[675],[568,5765,5766,5769],{"style":3650},[568,5767],{"className":5768,"style":1011},[682],[568,5770,5772],{"className":5771},[881,882,883,884],[568,5773,2009],{"className":5774},[653,654,884],[568,5776,924],{"className":5777},[923],[568,5779,5781],{"className":5780},[671],[568,5782,5784],{"className":5783,"style":1027},[675],[568,5785],{},[568,5787],{"className":5788,"style":703},[658],[568,5790,607],{"className":5791},[707],[568,5793],{"className":5794,"style":703},[658],[568,5796,5798,5802,5917,5920,5923],{"className":5797},[644],[568,5799],{"className":5800,"style":5801},[648],"height:1.3831em;vertical-align:-0.538em;",[568,5803,5805,5808,5914],{"className":5804},[653],[568,5806],{"className":5807},[856,857],[568,5809,5811],{"className":5810},[806],[568,5812,5814,5906],{"className":5813},[667,864],[568,5815,5817,5903],{"className":5816},[671],[568,5818,5820,5878,5886],{"className":5819,"style":3705},[675],[568,5821,5822,5825],{"style":5291},[568,5823],{"className":5824,"style":683},[682],[568,5826,5828],{"className":5827},[881,882,883,884],[568,5829,5831],{"className":5830},[653,884],[568,5832,5834],{"className":5833},[653,1049,884],[568,5835,5837,5870],{"className":5836},[667,864],[568,5838,5840,5867],{"className":5839},[671],[568,5841,5843,5855],{"className":5842,"style":5313},[675],[568,5844,5846,5849],{"className":5845,"style":678},[1063],[568,5847],{"className":5848,"style":683},[682],[568,5850,5852],{"className":5851,"style":4597},[653,884],[568,5853,4212],{"className":5854},[653,884],[568,5856,5857,5860],{"style":5328},[568,5858],{"className":5859,"style":683},[682],[568,5861,5863],{"className":5862,"style":4622},[1150,884],[1153,5864,5865],{"xmlns":1155,"width":1156,"height":4625,"viewBox":4626,"preserveAspectRatio":1159},[1161,5866],{"d":4629},[568,5868,924],{"className":5869},[923],[568,5871,5873],{"className":5872},[671],[568,5874,5876],{"className":5875,"style":5348},[675],[568,5877],{},[568,5879,5880,5883],{"style":896},[568,5881],{"className":5882,"style":683},[682],[568,5884],{"className":5885,"style":904},[903],[568,5887,5888,5891],{"style":907},[568,5889],{"className":5890,"style":683},[682],[568,5892,5894],{"className":5893},[881,882,883,884],[568,5895,5897,5900],{"className":5896},[653,884],[568,5898,815],{"className":5899},[653,884],[568,5901,3610],{"className":5902,"style":990},[653,654,884],[568,5904,924],{"className":5905},[923],[568,5907,5909],{"className":5908},[671],[568,5910,5912],{"className":5911,"style":5392},[675],[568,5913],{},[568,5915],{"className":5916},[937,857],[568,5918],{"className":5919,"style":703},[658],[568,5921,4215],{"className":5922},[707],[568,5924],{"className":5925,"style":703},[658],[568,5927,5929,5932,5935,5941,5945,5948],{"className":5928},[644],[568,5930],{"className":5931,"style":4812},[648],[568,5933,2824],{"className":5934},[653],[568,5936,5938],{"className":5937},[653],[568,5939,4157],{"className":5940},[4403],[568,5942,5944],{"className":5943},[653],"2825",[568,5946],{"className":5947,"style":659},[658],[568,5949,5951],{"className":5950},[653,3968],[568,5952,4148],{"className":5953},[653],". In dieser Zeit schrumpft die Amplitude auf ",[568,5956,5958,5985],{"className":5957},[571],[568,5959,5961],{"className":5960},[575],[577,5962,5963],{"xmlns":579},[581,5964,5965,5982],{},[584,5966,5967,5977,5979],{},[1445,5968,5969,5971],{},[587,5970,2349],{},[584,5972,5973,5975],{},[602,5974,610],{},[813,5976,5729],{},[602,5978,4215],{},[813,5980,5981],{},"0,2773",[633,5983,5984],{"encoding":635},"e^{-1{,}2825} \\approx 0{,}2773",[568,5986,5988,6047],{"className":5987,"ariaHidden":597},[640],[568,5989,5991,5994,6038,6041,6044],{"className":5990},[644],[568,5992],{"className":5993,"style":1505},[648],[568,5995,5997,6000],{"className":5996},[653],[568,5998,2349],{"className":5999},[653,654],[568,6001,6003],{"className":6002},[994],[568,6004,6006],{"className":6005},[667],[568,6007,6009],{"className":6008},[671],[568,6010,6012],{"className":6011,"style":1505},[675],[568,6013,6014,6017],{"style":1508},[568,6015],{"className":6016,"style":1011},[682],[568,6018,6020],{"className":6019},[881,882,883,884],[568,6021,6023,6026,6029,6035],{"className":6022},[653,884],[568,6024,610],{"className":6025},[653,884],[568,6027,2824],{"className":6028},[653,884],[568,6030,6032],{"className":6031},[653,884],[568,6033,4157],{"className":6034},[4403,884],[568,6036,5944],{"className":6037},[653,884],[568,6039],{"className":6040,"style":703},[658],[568,6042,4215],{"className":6043},[707],[568,6045],{"className":6046,"style":703},[658],[568,6048,6050,6053,6056,6062],{"className":6049},[644],[568,6051],{"className":6052,"style":4812},[648],[568,6054,959],{"className":6055},[653],[568,6057,6059],{"className":6058},[653],[568,6060,4157],{"className":6061},[4403],[568,6063,6065],{"className":6064},[653],"2773",", also auf gut ein Viertel.",[564,6068,6069,6070,6161,6162,6293],{},"Den aperiodischen Grenzfall erreicht dieselbe Feder bei ",[568,6071,6073,6094],{"className":6072},[571],[568,6074,6076],{"className":6075},[575],[577,6077,6078],{"xmlns":579},[581,6079,6080,6092],{},[584,6081,6082,6084,6086],{},[587,6083,802],{},[602,6085,607],{},[952,6087,6088,6090],{},[587,6089,956],{},[813,6091,959],{},[633,6093,2440],{"encoding":635},[568,6095,6097,6115],{"className":6096,"ariaHidden":597},[640],[568,6098,6100,6103,6106,6109,6112],{"className":6099},[644],[568,6101],{"className":6102,"style":748},[648],[568,6104,802],{"className":6105,"style":833},[653,654],[568,6107],{"className":6108,"style":703},[658],[568,6110,607],{"className":6111},[707],[568,6113],{"className":6114,"style":703},[658],[568,6116,6118,6121],{"className":6117},[644],[568,6119],{"className":6120,"style":983},[648],[568,6122,6124,6127],{"className":6123},[653],[568,6125,956],{"className":6126,"style":990},[653,654],[568,6128,6130],{"className":6129},[994],[568,6131,6133,6153],{"className":6132},[667,864],[568,6134,6136,6150],{"className":6135},[671],[568,6137,6139],{"className":6138,"style":1004},[675],[568,6140,6141,6144],{"style":1007},[568,6142],{"className":6143,"style":1011},[682],[568,6145,6147],{"className":6146},[881,882,883,884],[568,6148,959],{"className":6149},[653,884],[568,6151,924],{"className":6152},[923],[568,6154,6156],{"className":6155},[671],[568,6157,6159],{"className":6158,"style":1027},[675],[568,6160],{},", also bei ",[568,6163,6165,6200],{"className":6164},[571],[568,6166,6168],{"className":6167},[575],[577,6169,6170],{"xmlns":579},[581,6171,6172,6197],{},[584,6173,6174,6176,6178,6180,6182,6184,6186,6188,6190,6193,6195],{},[587,6175,622],{},[602,6177,607],{},[813,6179,815],{},[602,6181,4135],{},[813,6183,2824],{},[602,6185,4135],{},[813,6187,4171],{},[602,6189,607],{},[813,6191,6192],{},"10",[591,6194,593],{},[591,6196,4062],{},[633,6198,6199],{"encoding":635},"b = 2 \\cdot 1 \\cdot 5 = 10\\,\\text{kg\u002Fs}",[568,6201,6203,6221,6239,6257,6275],{"className":6202,"ariaHidden":597},[640],[568,6204,6206,6209,6212,6215,6218],{"className":6205},[644],[568,6207],{"className":6208,"style":748},[648],[568,6210,622],{"className":6211},[653,654],[568,6213],{"className":6214,"style":703},[658],[568,6216,607],{"className":6217},[707],[568,6219],{"className":6220,"style":703},[658],[568,6222,6224,6227,6230,6233,6236],{"className":6223},[644],[568,6225],{"className":6226,"style":1425},[648],[568,6228,815],{"className":6229},[653],[568,6231],{"className":6232,"style":734},[658],[568,6234,4135],{"className":6235},[738],[568,6237],{"className":6238,"style":734},[658],[568,6240,6242,6245,6248,6251,6254],{"className":6241},[644],[568,6243],{"className":6244,"style":1425},[648],[568,6246,2824],{"className":6247},[653],[568,6249],{"className":6250,"style":734},[658],[568,6252,4135],{"className":6253},[738],[568,6255],{"className":6256,"style":734},[658],[568,6258,6260,6263,6266,6269,6272],{"className":6259},[644],[568,6261],{"className":6262,"style":1425},[648],[568,6264,4171],{"className":6265},[653],[568,6267],{"className":6268,"style":703},[658],[568,6270,607],{"className":6271},[707],[568,6273],{"className":6274,"style":703},[658],[568,6276,6278,6281,6284,6287],{"className":6277},[644],[568,6279],{"className":6280,"style":2576},[648],[568,6282,6192],{"className":6283},[653],[568,6285],{"className":6286,"style":659},[658],[568,6288,6290],{"className":6289},[653,3968],[568,6291,4062],{"className":6292},[653],".",[559,6295,6297],{"id":6296},"typische-fehler","Typische Fehler",[1875,6299,6300,6579,6920,7172],{},[1878,6301,6302,6303,6373,6374,6444,6445,6293],{},"Mit ",[568,6304,6306,6324],{"className":6305},[571],[568,6307,6309],{"className":6308},[575],[577,6310,6311],{"xmlns":579},[581,6312,6313,6321],{},[584,6314,6315],{},[952,6316,6317,6319],{},[587,6318,956],{},[813,6320,959],{},[633,6322,6323],{"encoding":635},"\\omega_0",[568,6325,6327],{"className":6326,"ariaHidden":597},[640],[568,6328,6330,6333],{"className":6329},[644],[568,6331],{"className":6332,"style":983},[648],[568,6334,6336,6339],{"className":6335},[653],[568,6337,956],{"className":6338,"style":990},[653,654],[568,6340,6342],{"className":6341},[994],[568,6343,6345,6365],{"className":6344},[667,864],[568,6346,6348,6362],{"className":6347},[671],[568,6349,6351],{"className":6350,"style":1004},[675],[568,6352,6353,6356],{"style":1007},[568,6354],{"className":6355,"style":1011},[682],[568,6357,6359],{"className":6358},[881,882,883,884],[568,6360,959],{"className":6361},[653,884],[568,6363,924],{"className":6364},[923],[568,6366,6368],{"className":6367},[671],[568,6369,6371],{"className":6370,"style":1027},[675],[568,6372],{}," statt ",[568,6375,6377,6395],{"className":6376},[571],[568,6378,6380],{"className":6379},[575],[577,6381,6382],{"xmlns":579},[581,6383,6384,6392],{},[584,6385,6386],{},[952,6387,6388,6390],{},[587,6389,956],{},[587,6391,2009],{},[633,6393,6394],{"encoding":635},"\\omega_d",[568,6396,6398],{"className":6397,"ariaHidden":597},[640],[568,6399,6401,6404],{"className":6400},[644],[568,6402],{"className":6403,"style":983},[648],[568,6405,6407,6410],{"className":6406},[653],[568,6408,956],{"className":6409,"style":990},[653,654],[568,6411,6413],{"className":6412},[994],[568,6414,6416,6436],{"className":6415},[667,864],[568,6417,6419,6433],{"className":6418},[671],[568,6420,6422],{"className":6421,"style":2068},[675],[568,6423,6424,6427],{"style":1007},[568,6425],{"className":6426,"style":1011},[682],[568,6428,6430],{"className":6429},[881,882,883,884],[568,6431,2009],{"className":6432},[653,654,884],[568,6434,924],{"className":6435},[923],[568,6437,6439],{"className":6438},[671],[568,6440,6442],{"className":6441,"style":1027},[675],[568,6443],{}," rechnen. Die gedämpfte Schwingung ist langsamer: ",[568,6446,6448,6474],{"className":6447},[571],[568,6449,6451],{"className":6450},[575],[577,6452,6453],{"xmlns":579},[581,6454,6455,6471],{},[584,6456,6457,6463,6465],{},[952,6458,6459,6461],{},[587,6460,956],{},[587,6462,2009],{},[602,6464,1901],{},[952,6466,6467,6469],{},[587,6468,956],{},[813,6470,959],{},[633,6472,6473],{"encoding":635},"\\omega_d \u003C \\omega_0",[568,6475,6477,6533],{"className":6476,"ariaHidden":597},[640],[568,6478,6480,6484,6524,6527,6530],{"className":6479},[644],[568,6481],{"className":6482,"style":6483},[648],"height:0.6891em;vertical-align:-0.15em;",[568,6485,6487,6490],{"className":6486},[653],[568,6488,956],{"className":6489,"style":990},[653,654],[568,6491,6493],{"className":6492},[994],[568,6494,6496,6516],{"className":6495},[667,864],[568,6497,6499,6513],{"className":6498},[671],[568,6500,6502],{"className":6501,"style":2068},[675],[568,6503,6504,6507],{"style":1007},[568,6505],{"className":6506,"style":1011},[682],[568,6508,6510],{"className":6509},[881,882,883,884],[568,6511,2009],{"className":6512},[653,654,884],[568,6514,924],{"className":6515},[923],[568,6517,6519],{"className":6518},[671],[568,6520,6522],{"className":6521,"style":1027},[675],[568,6523],{},[568,6525],{"className":6526,"style":703},[658],[568,6528,1901],{"className":6529},[707],[568,6531],{"className":6532,"style":703},[658],[568,6534,6536,6539],{"className":6535},[644],[568,6537],{"className":6538,"style":983},[648],[568,6540,6542,6545],{"className":6541},[653],[568,6543,956],{"className":6544,"style":990},[653,654],[568,6546,6548],{"className":6547},[994],[568,6549,6551,6571],{"className":6550},[667,864],[568,6552,6554,6568],{"className":6553},[671],[568,6555,6557],{"className":6556,"style":1004},[675],[568,6558,6559,6562],{"style":1007},[568,6560],{"className":6561,"style":1011},[682],[568,6563,6565],{"className":6564},[881,882,883,884],[568,6566,959],{"className":6567},[653,884],[568,6569,924],{"className":6570},[923],[568,6572,6574],{"className":6573},[671],[568,6575,6577],{"className":6576,"style":1027},[675],[568,6578],{},[1878,6580,6581,6582,6610,6611,6645,6646,6797,6798,6293],{},"Den Faktor ",[568,6583,6585,6598],{"className":6584},[571],[568,6586,6588],{"className":6587},[575],[577,6589,6590],{"xmlns":579},[581,6591,6592,6596],{},[584,6593,6594],{},[813,6595,815],{},[633,6597,815],{"encoding":635},[568,6599,6601],{"className":6600,"ariaHidden":597},[640],[568,6602,6604,6607],{"className":6603},[644],[568,6605],{"className":6606,"style":1425},[648],[568,6608,815],{"className":6609},[653]," in ",[568,6612,6614,6630],{"className":6613},[571],[568,6615,6617],{"className":6616},[575],[577,6618,6619],{"xmlns":579},[581,6620,6621,6627],{},[584,6622,6623,6625],{},[813,6624,815],{},[587,6626,802],{},[633,6628,6629],{"encoding":635},"2\\delta",[568,6631,6633],{"className":6632,"ariaHidden":597},[640],[568,6634,6636,6639,6642],{"className":6635},[644],[568,6637],{"className":6638,"style":748},[648],[568,6640,815],{"className":6641},[653],[568,6643,802],{"className":6644,"style":833},[653,654]," vergessen. Steht in der Gleichung ",[568,6647,6649,6685],{"className":6648},[571],[568,6650,6652],{"className":6651},[575],[577,6653,6654],{"xmlns":579},[581,6655,6656,6682],{},[584,6657,6658,6664,6666,6669,6671,6677,6679],{},[595,6659,6660,6662],{"accent":597},[587,6661,600],{},[602,6663,604],{},[602,6665,1202],{},[587,6667,6668],{},"c",[591,6670,593],{},[595,6672,6673,6675],{"accent":597},[587,6674,600],{},[602,6676,631],{},[602,6678,1202],{},[602,6680,6681],{},"…",[633,6683,6684],{"encoding":635},"\\ddot{x} + c\\,\\dot{x} + \\ldots",[568,6686,6688,6734,6786],{"className":6687,"ariaHidden":597},[640],[568,6689,6691,6694,6725,6728,6731],{"className":6690},[644],[568,6692],{"className":6693,"style":1246},[648],[568,6695,6697],{"className":6696},[653,663],[568,6698,6700],{"className":6699},[667],[568,6701,6703],{"className":6702},[671],[568,6704,6706,6714],{"className":6705,"style":649},[675],[568,6707,6708,6711],{"style":678},[568,6709],{"className":6710,"style":683},[682],[568,6712,600],{"className":6713},[653,654],[568,6715,6716,6719],{"style":678},[568,6717],{"className":6718,"style":683},[682],[568,6720,6722],{"className":6721,"style":696},[695],[568,6723,604],{"className":6724},[653],[568,6726],{"className":6727,"style":734},[658],[568,6729,1202],{"className":6730},[738],[568,6732],{"className":6733,"style":734},[658],[568,6735,6737,6740,6743,6746,6777,6780,6783],{"className":6736},[644],[568,6738],{"className":6739,"style":1246},[648],[568,6741,6668],{"className":6742},[653,654],[568,6744],{"className":6745,"style":659},[658],[568,6747,6749],{"className":6748},[653,663],[568,6750,6752],{"className":6751},[667],[568,6753,6755],{"className":6754},[671],[568,6756,6758,6766],{"className":6757,"style":649},[675],[568,6759,6760,6763],{"style":678},[568,6761],{"className":6762,"style":683},[682],[568,6764,600],{"className":6765},[653,654],[568,6767,6768,6771],{"style":678},[568,6769],{"className":6770,"style":683},[682],[568,6772,6774],{"className":6773,"style":783},[695],[568,6775,631],{"className":6776},[653],[568,6778],{"className":6779,"style":734},[658],[568,6781,1202],{"className":6782},[738],[568,6784],{"className":6785,"style":734},[658],[568,6787,6789,6793],{"className":6788},[644],[568,6790],{"className":6791,"style":6792},[648],"height:0.123em;",[568,6794,6681],{"className":6795},[6796],"minner",", ist ",[568,6799,6801,6823],{"className":6800},[571],[568,6802,6804],{"className":6803},[575],[577,6805,6806],{"xmlns":579},[581,6807,6808,6820],{},[584,6809,6810,6812,6814],{},[587,6811,802],{},[602,6813,607],{},[806,6815,6816,6818],{},[587,6817,6668],{},[813,6819,815],{},[633,6821,6822],{"encoding":635},"\\delta = \\frac{c}{2}",[568,6824,6826,6844],{"className":6825,"ariaHidden":597},[640],[568,6827,6829,6832,6835,6838,6841],{"className":6828},[644],[568,6830],{"className":6831,"style":748},[648],[568,6833,802],{"className":6834,"style":833},[653,654],[568,6836],{"className":6837,"style":703},[658],[568,6839,607],{"className":6840},[707],[568,6842],{"className":6843,"style":703},[658],[568,6845,6847,6851],{"className":6846},[644],[568,6848],{"className":6849,"style":6850},[648],"height:1.0404em;vertical-align:-0.345em;",[568,6852,6854,6857,6917],{"className":6853},[653],[568,6855],{"className":6856},[856,857],[568,6858,6860],{"className":6859},[806],[568,6861,6863,6909],{"className":6862},[667,864],[568,6864,6866,6906],{"className":6865},[671],[568,6867,6870,6884,6892],{"className":6868,"style":6869},[675],"height:0.6954em;",[568,6871,6872,6875],{"style":874},[568,6873],{"className":6874,"style":683},[682],[568,6876,6878],{"className":6877},[881,882,883,884],[568,6879,6881],{"className":6880},[653,884],[568,6882,815],{"className":6883},[653,884],[568,6885,6886,6889],{"style":896},[568,6887],{"className":6888,"style":683},[682],[568,6890],{"className":6891,"style":904},[903],[568,6893,6894,6897],{"style":907},[568,6895],{"className":6896,"style":683},[682],[568,6898,6900],{"className":6899},[881,882,883,884],[568,6901,6903],{"className":6902},[653,884],[568,6904,6668],{"className":6905},[653,654,884],[568,6907,924],{"className":6908},[923],[568,6910,6912],{"className":6911},[671],[568,6913,6915],{"className":6914,"style":931},[675],[568,6916],{},[568,6918],{"className":6919},[937,857],[1878,6921,6922,6923,6974,6975,7143,7144,6293],{},"Bei losgelassener Masse ",[568,6924,6926,6944],{"className":6925},[571],[568,6927,6929],{"className":6928},[575],[577,6930,6931],{"xmlns":579},[581,6932,6933,6941],{},[584,6934,6935,6937,6939],{},[587,6936,2543],{},[602,6938,607],{},[813,6940,959],{},[633,6942,6943],{"encoding":635},"B = 0",[568,6945,6947,6965],{"className":6946,"ariaHidden":597},[640],[568,6948,6950,6953,6956,6959,6962],{"className":6949},[644],[568,6951],{"className":6952,"style":3372},[648],[568,6954,2543],{"className":6955,"style":2629},[653,654],[568,6957],{"className":6958,"style":703},[658],[568,6960,607],{"className":6961},[707],[568,6963],{"className":6964,"style":703},[658],[568,6966,6968,6971],{"className":6967},[644],[568,6969],{"className":6970,"style":1425},[648],[568,6972,959],{"className":6973},[653]," setzen. Wegen der Dämpfung ist ",[568,6976,6978,7008],{"className":6977},[571],[568,6979,6981],{"className":6980},[575],[577,6982,6983],{"xmlns":579},[581,6984,6985,7005],{},[584,6986,6987,6989,6991],{},[587,6988,2543],{},[602,6990,607],{},[806,6992,6993,6999],{},[584,6994,6995,6997],{},[587,6996,802],{},[587,6998,2538],{},[952,7000,7001,7003],{},[587,7002,956],{},[587,7004,2009],{},[633,7006,7007],{"encoding":635},"B = \\frac{\\delta A}{\\omega_d}",[568,7009,7011,7029],{"className":7010,"ariaHidden":597},[640],[568,7012,7014,7017,7020,7023,7026],{"className":7013},[644],[568,7015],{"className":7016,"style":3372},[648],[568,7018,2543],{"className":7019,"style":2629},[653,654],[568,7021],{"className":7022,"style":703},[658],[568,7024,607],{"className":7025},[707],[568,7027],{"className":7028,"style":703},[658],[568,7030,7032,7035],{"className":7031},[644],[568,7033],{"className":7034,"style":5145},[648],[568,7036,7038,7041,7140],{"className":7037},[653],[568,7039],{"className":7040},[856,857],[568,7042,7044],{"className":7043},[806],[568,7045,7047,7132],{"className":7046},[667,864],[568,7048,7050,7129],{"className":7049},[671],[568,7051,7053,7104,7112],{"className":7052,"style":871},[675],[568,7054,7055,7058],{"style":874},[568,7056],{"className":7057,"style":683},[682],[568,7059,7061],{"className":7060},[881,882,883,884],[568,7062,7064],{"className":7063},[653,884],[568,7065,7067,7070],{"className":7066},[653,884],[568,7068,956],{"className":7069,"style":990},[653,654,884],[568,7071,7073],{"className":7072},[994],[568,7074,7076,7096],{"className":7075},[667,864],[568,7077,7079,7093],{"className":7078},[671],[568,7080,7082],{"className":7081,"style":3735},[675],[568,7083,7084,7087],{"style":3738},[568,7085],{"className":7086,"style":3742},[682],[568,7088,7090],{"className":7089},[881,3746,2947,884],[568,7091,2009],{"className":7092},[653,654,884],[568,7094,924],{"className":7095},[923],[568,7097,7099],{"className":7098},[671],[568,7100,7102],{"className":7101,"style":3759},[675],[568,7103],{},[568,7105,7106,7109],{"style":896},[568,7107],{"className":7108,"style":683},[682],[568,7110],{"className":7111,"style":904},[903],[568,7113,7114,7117],{"style":907},[568,7115],{"className":7116,"style":683},[682],[568,7118,7120],{"className":7119},[881,882,883,884],[568,7121,7123,7126],{"className":7122},[653,884],[568,7124,802],{"className":7125,"style":833},[653,654,884],[568,7127,2538],{"className":7128},[653,654,884],[568,7130,924],{"className":7131},[923],[568,7133,7135],{"className":7134},[671],[568,7136,7138],{"className":7137,"style":3796},[675],[568,7139],{},[568,7141],{"className":7142},[937,857],", nicht ",[568,7145,7147,7160],{"className":7146},[571],[568,7148,7150],{"className":7149},[575],[577,7151,7152],{"xmlns":579},[581,7153,7154,7158],{},[584,7155,7156],{},[813,7157,959],{},[633,7159,959],{"encoding":635},[568,7161,7163],{"className":7162,"ariaHidden":597},[640],[568,7164,7166,7169],{"className":7165},[644],[568,7167],{"className":7168,"style":1425},[648],[568,7170,959],{"className":7171},[653],[1878,7173,7174,7175,7269,7270,7361,7362,7431,7432,7361,7523,938,7615,7715],{},"Die Formel für den Schwingfall auch bei ",[568,7176,7178,7201],{"className":7177},[571],[568,7179,7181],{"className":7180},[575],[577,7182,7183],{"xmlns":579},[581,7184,7185,7198],{},[584,7186,7187,7189,7192],{},[587,7188,802],{},[602,7190,7191],{},"≥",[952,7193,7194,7196],{},[587,7195,956],{},[813,7197,959],{},[633,7199,7200],{"encoding":635},"\\delta \\geq \\omega_0",[568,7202,7204,7223],{"className":7203,"ariaHidden":597},[640],[568,7205,7207,7211,7214,7217,7220],{"className":7206},[644],[568,7208],{"className":7209,"style":7210},[648],"height:0.8304em;vertical-align:-0.136em;",[568,7212,802],{"className":7213,"style":833},[653,654],[568,7215],{"className":7216,"style":703},[658],[568,7218,7191],{"className":7219},[707],[568,7221],{"className":7222,"style":703},[658],[568,7224,7226,7229],{"className":7225},[644],[568,7227],{"className":7228,"style":983},[648],[568,7230,7232,7235],{"className":7231},[653],[568,7233,956],{"className":7234,"style":990},[653,654],[568,7236,7238],{"className":7237},[994],[568,7239,7241,7261],{"className":7240},[667,864],[568,7242,7244,7258],{"className":7243},[671],[568,7245,7247],{"className":7246,"style":1004},[675],[568,7248,7249,7252],{"style":1007},[568,7250],{"className":7251,"style":1011},[682],[568,7253,7255],{"className":7254},[881,882,883,884],[568,7256,959],{"className":7257},[653,884],[568,7259,924],{"className":7260},[923],[568,7262,7264],{"className":7263},[671],[568,7265,7267],{"className":7266,"style":1027},[675],[568,7268],{}," verwenden. Bei ",[568,7271,7273,7294],{"className":7272},[571],[568,7274,7276],{"className":7275},[575],[577,7277,7278],{"xmlns":579},[581,7279,7280,7292],{},[584,7281,7282,7284,7286],{},[587,7283,802],{},[602,7285,2702],{},[952,7287,7288,7290],{},[587,7289,956],{},[813,7291,959],{},[633,7293,2711],{"encoding":635},[568,7295,7297,7315],{"className":7296,"ariaHidden":597},[640],[568,7298,7300,7303,7306,7309,7312],{"className":7299},[644],[568,7301],{"className":7302,"style":1920},[648],[568,7304,802],{"className":7305,"style":833},[653,654],[568,7307],{"className":7308,"style":703},[658],[568,7310,2702],{"className":7311},[707],[568,7313],{"className":7314,"style":703},[658],[568,7316,7318,7321],{"className":7317},[644],[568,7319],{"className":7320,"style":983},[648],[568,7322,7324,7327],{"className":7323},[653],[568,7325,956],{"className":7326,"style":990},[653,654],[568,7328,7330],{"className":7329},[994],[568,7331,7333,7353],{"className":7332},[667,864],[568,7334,7336,7350],{"className":7335},[671],[568,7337,7339],{"className":7338,"style":1004},[675],[568,7340,7341,7344],{"style":1007},[568,7342],{"className":7343,"style":1011},[682],[568,7345,7347],{"className":7346},[881,882,883,884],[568,7348,959],{"className":7349},[653,884],[568,7351,924],{"className":7352},[923],[568,7354,7356],{"className":7355},[671],[568,7357,7359],{"className":7358,"style":1027},[675],[568,7360],{}," ist ",[568,7363,7365,7382],{"className":7364},[571],[568,7366,7368],{"className":7367},[575],[577,7369,7370],{"xmlns":579},[581,7371,7372,7380],{},[584,7373,7374],{},[952,7375,7376,7378],{},[587,7377,956],{},[587,7379,2009],{},[633,7381,6394],{"encoding":635},[568,7383,7385],{"className":7384,"ariaHidden":597},[640],[568,7386,7388,7391],{"className":7387},[644],[568,7389],{"className":7390,"style":983},[648],[568,7392,7394,7397],{"className":7393},[653],[568,7395,956],{"className":7396,"style":990},[653,654],[568,7398,7400],{"className":7399},[994],[568,7401,7403,7423],{"className":7402},[667,864],[568,7404,7406,7420],{"className":7405},[671],[568,7407,7409],{"className":7408,"style":2068},[675],[568,7410,7411,7414],{"style":1007},[568,7412],{"className":7413,"style":1011},[682],[568,7415,7417],{"className":7416},[881,882,883,884],[568,7418,2009],{"className":7419},[653,654,884],[568,7421,924],{"className":7422},[923],[568,7424,7426],{"className":7425},[671],[568,7427,7429],{"className":7428,"style":1027},[675],[568,7430],{}," nicht reell, bei 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= 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Dort braucht man die Formeln der anderen Fälle.",{"title":7717,"searchDepth":7718,"depth":7718,"links":7719},"",2,[7720,7721,7722],{"id":561,"depth":7718,"text":562},{"id":3922,"depth":7718,"text":3923},{"id":6296,"depth":7718,"text":6297},[7724,7726,7728,7730,7732,7735,7737,7740,7743,7746],{"lhs":7725,"rhs":959},"((d^2 - w^2)*cos(w*t) + 2*d*w*sin(w*t)) + 2*d*(-d*cos(w*t) - w*sin(w*t)) + (d^2 + w^2)*cos(w*t)",{"lhs":7727,"rhs":959},"((d^2 - w^2)*sin(w*t) - 2*d*w*cos(w*t)) + 2*d*(-d*sin(w*t) + w*cos(w*t)) + (d^2 + w^2)*sin(w*t)",{"lhs":7729,"rhs":2824},"2\u002F(2*1)",{"lhs":7731,"rhs":4171},"sqrt(25\u002F1)",{"lhs":7733,"rhs":7734},"round(sqrt(5^2 - 1^2), 4)","4.899",{"lhs":7736,"rhs":959},"-1*0.1 + sqrt(24)*(0.1\u002Fsqrt(24))",{"lhs":7738,"rhs":7739},"round(0.1\u002Fsqrt(24), 4)","0.0204",{"lhs":7741,"rhs":7742},"round(2*pi\u002Fsqrt(24), 4)","1.2825",{"lhs":7744,"rhs":7745},"round(exp(-2*pi\u002Fsqrt(24)), 4)","0.2773",{"lhs":7747,"rhs":6192},"2*1*5","0 \u003C \\delta \u003C 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