Задача №3.56
Условие
Однородный диск радиусом R=20 см может свободно вращаться вокруг горизонтальной оси z, перпендикулярной плоскости диска и проходящей через точку О (см. рис. 3.14). Определить угловую ω и линейную v скорости точки В на диске в момент прохождения им положения равновесия. Вычисления выполнить для следующих случаев:1) a=b=R, α=π/2;
2) a=R/2, b=0, α=π/3;
3) a=2R/3, b=2R/3, α=5π/6;
4) a=R/3, b=R, α=2π/3.
Решение
☆
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1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
1.10
1.11
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1.14
1.15
1.16
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1.20
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1.35
1.36
1.37
1.38
1.39
1.40
1.41
1.42
1.43
1.44
1.45
1.46
1.47
1.49
1.50
1.51
1.52
1.53
1.54
1.55
1.56
1.57
1.58
1.59
1.60
1.61
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
2.11
2.12
2.13
2.14
2.15
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2.20
2.21
2.22
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2.26
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2.31
2.32
2.33
2.34
2.35
2.36
2.37
2.38
2.39
2.40
2.41
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2.43
2.44
2.45
2.46
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2.48
2.49
2.50
2.51
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2.53
2.54
2.55
2.56
2.57
2.58
2.59
2.60
2.61
2.62
2.63
2.64
2.65
2.66
2.67
2.68
2.69
2.70
2.71
2.72
2.73
2.74
2.75
2.76
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2.83
2.84
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2.86
2.87
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2.91
2.92
3.1
3.2
3.3
3.4
3.6
3.7
3.8
3.11
3.12
3.15
3.16
3.17
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3.19
3.20
3.21
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3.55
3.56
4.1
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4.37
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4.66
5.1
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5.33
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5.36
6.1
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6.8
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6.32
6.33
6.34
6.35
6.36
6.37
6.38
6.39
6.40
6.43
6.50
6.53
6.56
6.57
6.58
6.59
6.60
6.62
6.67
6.68
6.71
6.73
7.1
7.2
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7.6
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7.28
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7.60
8.1
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9.1
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9.33
10.1
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10.67
10.69
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12.2
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13.1
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14.52
15.1
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15.51
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15.65
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16.1
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16.55
17.1
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18.1
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20.1
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22.2
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23.1
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25.33
25.34
25.41
26.1
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27.1
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28.46
29.1
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30.1
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30.33
31.1
31.2
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31.27
31.30
32.2
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33.1
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34.5
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38.1
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40.1
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40.23
40.50
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44.5
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44.27
45.1
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45.33
46.1
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47.3
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47.43
47.62
49.3
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50.1
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50.36
51.1
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51.20