Задача №32.15

Условие

Груз подвесили сначала к пружине с жесткостью c1=2 кН/м, а затем к пружине с жесткостью c2=4 кН/м. Найти отношение частот и отношение периодов колебаний груза в этих двух случаях.

Решение




Предыдущая задача №14
Груз массы m1=2 кг, подвешенный к пружине, коэффициент жесткости которой c=98 Н/м, находится в равновесии. В некоторый момент к грузу m1 добавили груз m2=0,8 кг. Определить уравнение движения и период колебаний двух грузов.
Следующая задача №16
Тело массы m находится на наклонной плоскости, составляющей угол α с вертикалью. К телу прикреплена пружина, жесткость которой c. Пружина параллельна наклонной плоскости. Найти уравнение движения тела, если в начальный момент оно было прикреплено к концу нерастянутой пружины и ему была сообщена начальная скорость v0, направленная вниз по наклонной плоскости. Начало координат взять в положении статического равновесия.
Источник: Решебник Мещерского 12 класс
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1.1
1.2
1.3
1.4
1.5
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
2.10
2.11
2.12
2.13
2.14
2.15
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2.21
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2.44
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2.48
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2.53
2.54
2.55
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
3.10
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3.13
3.14
3.15
3.16
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3.20
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4.1
4.2
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4.4
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4.13
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4.56
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4.61
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4.74
5.1
5.2
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6.1
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7.1
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8.1
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9.1
9.2
9.3
9.4
9.5
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10.1
10.2
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11.1
11.2
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12.1
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13.1
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14.1
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15.1
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16.1
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17.1
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18.1
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18.41
19.1
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20.1
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20.13
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21.2
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22.1
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23.1
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23.62
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23.64
23.65
23.66
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23.69
23.70
23.71
24.1
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24.31
24.34
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25.1
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26.1
26.2
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26.4
26.5
26.6
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26.35
27.1
27.2
27.3
27.4
27.5
27.6
27.7
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27.44
27.45
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27.47
27.48
27.49
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27.54
27.55
27.58
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27.60
27.61
27.62
27.63
27.64
27.65
28.1
28.2
28.3
28.4
28.5
28.6
28.7
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29.1
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29.3
29.4
29.5
29.6
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30.1
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30.3
30.4
30.5
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31.1
31.2
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31.6
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31.11
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31.25
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31.29
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31.31
31.32
31.33
31.34
31.35
32.1
32.2
32.3
32.4
32.5
32.6
32.7
32.8
32.9
32.10
32.11
32.12
32.13
32.14
32.15
32.16
32.17
32.18
32.19
32.20
32.21
32.22
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32.24
32.25
32.26
32.27
32.28
32.29
32.30
32.31
32.32
32.33
32.34
32.35
32.36
32.37
32.38
32.39
32.40
32.41
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32.43
32.44
32.45
32.46
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32.48
32.49
32.50
32.51
32.52
32.53
32.54
32.55
32.56
32.57
32.58
32.59
32.60
32.61
32.62
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32.64
32.65
32.66
32.67
32.68
32.69
32.70
32.71
32.72
32.73
32.74
32.75
32.76
32.77
32.79
32.80
32.81
32.82
32.83
32.84
32.85
32.86
32.87
32.88
32.89
32.90
32.91
32.92
32.93
32.94
32.95
32.96
32.97
32.98
32.99
32.100
32.101
32.102
32.103
32.104
32.105
32.106
32.107
33.1
33.2
33.3
33.4
33.5
33.6
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33.12
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33.22
34.1
34.2
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34.4
34.5
34.6
34.7
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34.11
34.12
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34.31
35.1
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36.1
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37.1
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37.25
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37.48
37.49
37.50
37.51
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37.53
37.54
37.55
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37.59
38.1
38.2
38.3
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38.5
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38.11
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38.38
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38.48
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38.53
39.1
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39.4
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39.6
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40.1
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41.1
41.2
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42.1
42.2
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42.6
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43.1
43.2
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43.4
43.6
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43.13
44.1
44.2
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45.3
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45.37
46.1
46.2
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46.5
46.6
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46.21
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46.31
46.32
47.1
47.2
47.3
47.4
47.5
47.6
47.7
47.8
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47.10
47.11
47.12
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47.15
47.16
47.17
47.18
47.19
48.1
48.5
48.6
48.7
48.9
48.10
48.12
48.13
48.14
48.15
48.19
48.23
48.24
48.26
48.27
48.28
48.29
48.30
48.31
48.33
48.34
48.35
48.38
48.40
48.41
48.42
48.43
48.44
48.48
48.49
49.1
49.2
49.3
49.4
49.7
49.8
49.11
49.12
49.13
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49.16
53.5
53.12
53.14
53.15
53.16
54.1
54.2
54.3
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54.5
54.6
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54.18
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54.32
54.33
54.35
55.2
55.3
55.4
55.5
55.6
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55.9
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55.21
55.25
55.38
55.41
55.44
56.3
56.7
56.9
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