ВХОД | РЕГИСТРАЦИЯ

Задача №18.2

Условие

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 (см. рисунок к задаче 16.3). Определить в момент времени t=0 ускорение точки A, лежащей на ободе диска. Положение точки A на диске определяется углом φ=ωt, отсчитываемым от вертикали против хода часовой стрелки.

Решение





Предыдущая задача №1
Колесо катится по наклонной плоскости, образующей угол 30° с горизонтом (см. рисунок к задаче 16.2). Центр O колеса движется по закону xO=10t2 см, где x — ось, направленная параллельно наклонной плоскости. К центру O колеса подвешен стержень OA=36 см, качающийся вокруг горизонтальной оси O, перпендикулярной плоскости рисунка, по закону φ=(π/3)sin(πt/6) рад. Найти ускорение конца A стержня OA в момент времени t=1 с.
Следующая задача №3
Сохранив условие предыдущей задачи, определить ускорение точки A в момент времени t=1 с.
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
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3.1
3.2
3.3
3.4
3.5
3.6
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4.1
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5.1
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6.1
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8.1
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9.1
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9.3
9.4
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10.1
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11.1
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12.1
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14.1
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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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24.1
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25.1
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26.1
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27.1
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27.55
27.58
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27.65
28.1
28.2
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29.1
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30.1
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31.1
31.2
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31.25
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31.33
31.34
31.35
32.1
32.2
32.3
32.4
32.5
32.6
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32.11
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32.13
32.14
32.15
32.16
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32.20
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32.91
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32.107
33.1
33.2
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34.1
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34.5
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35.1
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36.1
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37.1
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37.11
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37.48
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37.59
38.1
38.2
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38.53
39.1
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39.4
39.5
39.6
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40.1
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41.1
41.2
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41.4
41.5
41.6
41.7
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41.13
41.14
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41.23
42.1
42.2
42.3
42.4
42.5
42.6
42.7
42.8
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42.18
43.1
43.2
43.3
43.4
43.6
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43.13
44.1
44.2
44.3
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44.29
45.3
45.4
45.5
45.6
45.7
45.8
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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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46.31
46.32
47.1
47.2
47.3
47.4
47.5
47.6
47.7
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48.1
48.5
48.6
48.7
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48.10
48.12
48.13
48.14
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48.19
48.23
48.24
48.26
48.27
48.28
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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
49.14
49.15
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
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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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55.8
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55.38
55.41
55.44
56.3
56.7
56.9

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