Задача №37.12
Условие
Упругую проволоку, на которой подвешен однородный шар с радиусом r и массой m, закручивают на угол φ0, а затем предоставляют ей свободно раскручиваться. Момент, необходимый для закручивания проволоки на один радиан, равен c. Определить движение, пренебрегая сопротивлением воздуха и считая момент силы упругости закрученной проволоки пропорциональным углу кручения φ.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
2.6
2.7
2.8
2.9
2.10
2.11
2.12
2.13
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2.32
2.33
2.34
2.35
2.36
2.37
2.38
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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2.53
2.54
2.55
3.1
3.2
3.3
3.4
3.5
3.6
3.7
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3.10
3.11
3.12
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3.21
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4.1
4.2
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4.53
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4.59
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4.74
5.1
5.2
5.3
5.4
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6.1
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8.1
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8.43
9.1
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9.4
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10.1
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10.6
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11.1
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12.1
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12.40
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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21.2
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22.1
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23.1
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23.48
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23.64
23.65
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23.71
24.1
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24.34
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25.1
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26.1
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26.35
27.1
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27.6
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27.32
27.33
27.34
27.35
27.36
27.37
27.38
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27.42
27.43
27.44
27.45
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27.47
27.48
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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
29.2
29.3
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30.1
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30.6
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30.30
31.1
31.2
31.3
31.4
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31.11
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31.25
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31.32
31.33
31.34
31.35
32.1
32.2
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32.20
32.21
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32.26
32.27
32.28
32.29
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32.31
32.32
32.33
32.34
32.35
32.36
32.37
32.38
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32.40
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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
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32.81
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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
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32.99
32.100
32.101
32.102
32.103
32.104
32.105
32.106
32.107
33.1
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33.4
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33.6
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33.22
34.1
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34.6
34.7
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34.31
35.1
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36.1
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37.1
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37.55
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37.59
38.1
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39.1
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40.1
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41.1
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42.1
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43.1
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44.1
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45.3
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45.37
46.1
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47.1
47.2
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48.1
48.5
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48.44
48.48
48.49
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