ВХОД | РЕГИСТРАЦИЯ

Задача №16.4

Условие

Сохранив условие предыдущей задачи, определить скорость точки A в момент времени t=1 с.

Решение





Предыдущая задача №3
При движении диска радиуса r=20 см в вертикальной плоскости xy его центр C движется согласно уравнениям xC=10t м, yC=(100-4,9t2) м. При этом диск вращается вокруг горизонтальной оси C, перпендикулярной плоскости диска, с постоянной угловой скоростью ω=π/2 рад/с. Определить в момент времени t=0 скорость точки A, лежащей на ободе диска. Положение точки A на диске определяется углом φ=ωt, отсчитываемым от вертикали против хода часовой стрелки.
Следующая задача №5
Два одинаковых диска радиуса r каждый соединены цилиндрическим шарниром A. Диск I вращается вокруг неподвижной горизонтальной оси O по закону φ=φ(t). Диск II вращается вокруг горизонтальной оси A согласно уравнению ψ=ψ(t). Оси O и A перпендикулярны плоскости рисунка. Углы φ и ψ отсчитываются от вертикали против хода часовой стрелки. Найти скорость центра C диска II.
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
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2.10
2.11
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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
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4.1
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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
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9.4
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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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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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21.2
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22.1
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23.1
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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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26.4
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26.35
27.1
27.2
27.3
27.4
27.5
27.6
27.7
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27.41
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27.48
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27.55
27.58
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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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29.5
29.6
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30.1
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31.1
31.2
31.3
31.4
31.5
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31.32
31.33
31.34
31.35
32.1
32.2
32.3
32.4
32.5
32.6
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32.10
32.11
32.12
32.13
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32.15
32.16
32.17
32.18
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32.20
32.21
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32.31
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32.34
32.35
32.36
32.37
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32.45
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32.47
32.48
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32.50
32.51
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32.53
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32.55
32.56
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32.60
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32.64
32.65
32.66
32.67
32.68
32.69
32.70
32.71
32.72
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32.74
32.75
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32.80
32.81
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32.84
32.85
32.86
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32.89
32.90
32.91
32.92
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32.94
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32.96
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32.100
32.101
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32.104
32.105
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32.107
33.1
33.2
33.3
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34.1
34.2
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34.6
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35.1
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36.1
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37.1
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37.4
37.5
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37.33
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37.35
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37.37
37.38
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37.48
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37.53
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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38.48
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38.53
39.1
39.2
39.4
39.5
39.6
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40.1
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41.1
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41.5
41.6
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41.13
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41.16
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41.23
42.1
42.2
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42.4
42.5
42.6
42.7
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42.18
43.1
43.2
43.3
43.4
43.6
43.7
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43.13
44.1
44.2
44.3
44.4
44.5
44.6
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44.29
45.3
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45.5
45.6
45.7
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45.34
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45.36
45.37
46.1
46.2
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46.4
46.5
46.6
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46.20
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46.32
47.1
47.2
47.3
47.4
47.5
47.6
47.7
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47.19
48.1
48.5
48.6
48.7
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48.12
48.13
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48.19
48.23
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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
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49.16
53.5
53.12
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53.15
53.16
54.1
54.2
54.3
54.4
54.5
54.6
54.7
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54.10
54.18
54.19
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54.22
54.32
54.33
54.35
55.2
55.3
55.4
55.5
55.6
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55.21
55.25
55.38
55.41
55.44
56.3
56.7
56.9

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