Задача №32.101
Условие
На тело массы M кг, прикрепленное к пружине с коэффициентом жесткости c Н/м, действуют возмущающая сила S=HsinptН и сила сопротивления R=-αv (R в Н), где v — скорость тела. В начальный момент тело находилось в положении статического равновесия и не имело начальной скорости. Найти уравнение движения тела, если c>α2/(4M).Решение
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1.1
1.2
1.3
1.4
1.5
2.1
2.2
2.3
2.4
2.5
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2.10
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2.21
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2.31
2.32
2.33
2.34
2.35
2.36
2.37
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2.39
2.40
2.41
2.42
2.43
2.44
2.45
2.46
2.47
2.48
2.49
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2.51
2.52
2.53
2.54
2.55
3.1
3.2
3.3
3.4
3.5
3.6
3.7
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3.11
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3.13
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3.16
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3.20
3.21
3.22
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4.1
4.2
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4.44
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4.47
4.49
4.50
4.51
4.52
4.53
4.54
4.55
4.56
4.57
4.58
4.59
4.61
4.62
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4.74
5.1
5.2
5.3
5.4
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6.1
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8.43
9.1
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10.1
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11.1
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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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19.1
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20.1
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22.1
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23.1
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23.31
23.32
23.33
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23.35
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23.48
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23.55
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23.64
23.65
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23.71
24.1
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24.31
24.34
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25.1
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26.1
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26.33
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26.35
27.1
27.2
27.3
27.4
27.5
27.6
27.7
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27.32
27.33
27.34
27.35
27.36
27.37
27.38
27.39
27.40
27.41
27.42
27.43
27.44
27.45
27.46
27.47
27.48
27.49
27.50
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27.54
27.55
27.58
27.59
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
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29.6
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30.1
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30.30
31.1
31.2
31.3
31.4
31.5
31.6
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31.8
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31.11
31.13
31.14
31.15
31.16
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31.18
31.19
31.20
31.21
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31.25
31.26
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31.28
31.29
31.30
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
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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
32.23
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
32.42
32.43
32.44
32.45
32.46
32.47
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
32.63
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
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32.99
32.100
32.101
32.102
32.103
32.104
32.105
32.106
32.107
33.1
33.2
33.3
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33.22
34.1
34.2
34.3
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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37.6
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37.11
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37.35
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37.37
37.38
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37.48
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37.59
38.1
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38.53
39.1
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40.1
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41.1
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42.1
42.2
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42.4
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43.1
43.2
43.3
43.4
43.6
43.7
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44.1
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45.3
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46.1
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47.1
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48.1
48.5
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49.1
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53.5
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54.1
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54.35
55.2
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56.3
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56.9