Задача №18.3

Условие

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

Решение




Предыдущая задача №2
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.
Следующая задача №4
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 (см. рисунок к задаче 16.5). Найти ускорение 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
2.9
2.10
2.11
2.12
2.13
2.14
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2.20
2.21
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2.41
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2.44
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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
3.11
3.12
3.13
3.14
3.15
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3.20
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4.1
4.2
4.3
4.4
4.5
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4.56
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5.1
5.2
5.3
5.4
5.5
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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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9.3
9.4
9.5
9.6
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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
18.2
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18.4
18.5
18.6
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19.1
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20.1
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20.13
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21.2
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22.1
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23.1
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23.64
23.65
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23.71
24.1
24.2
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24.4
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24.34
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24.46
25.1
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26.1
26.2
26.3
26.4
26.5
26.6
26.7
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26.35
27.1
27.2
27.3
27.4
27.5
27.6
27.7
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27.20
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27.25
27.26
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27.32
27.33
27.34
27.35
27.36
27.37
27.38
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27.40
27.41
27.42
27.43
27.44
27.45
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27.47
27.48
27.49
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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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28.9
28.10
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28.12
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28.15
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29.1
29.2
29.3
29.4
29.5
29.6
29.7
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30.1
30.2
30.3
30.4
30.5
30.6
30.7
30.8
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30.10
30.11
30.12
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30.26
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30.30
31.1
31.2
31.3
31.4
31.5
31.6
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31.11
31.13
31.14
31.15
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31.18
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31.25
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31.27
31.28
31.29
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31.31
31.32
31.33
31.34
31.35
32.1
32.2
32.3
32.4
32.5
32.6
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32.8
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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
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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
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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
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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
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32.84
32.85
32.86
32.87
32.88
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
32.102
32.103
32.104
32.105
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32.107
33.1
33.2
33.3
33.4
33.5
33.6
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33.17
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33.22
34.1
34.2
34.3
34.4
34.5
34.6
34.7
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34.10
34.11
34.12
34.13
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34.16
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34.31
35.1
35.2
35.3
35.4
35.5
35.6
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36.1
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36.14
37.1
37.2
37.3
37.4
37.5
37.6
37.7
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37.11
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37.14
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37.33
37.34
37.35
37.36
37.37
37.38
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37.40
37.41
37.42
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37.44
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37.48
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37.51
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37.53
37.54
37.55
37.56
37.57
37.58
37.59
38.1
38.2
38.3
38.4
38.5
38.6
38.7
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38.10
38.11
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38.13
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38.26
38.27
38.28
38.29
38.30
38.31
38.32
38.33
38.34
38.35
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38.37
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38.44
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38.48
38.49
38.50
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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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40.4
40.5
40.6
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41.1
41.2
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41.4
41.5
41.6
41.7
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41.12
41.13
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41.15
41.16
41.17
41.18
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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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42.11
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42.18
43.1
43.2
43.3
43.4
43.6
43.7
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43.10
43.11
43.12
43.13
44.1
44.2
44.3
44.4
44.5
44.6
44.7
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44.11
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44.29
45.3
45.4
45.5
45.6
45.7
45.8
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45.10
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45.26
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45.31
45.32
45.34
45.35
45.36
45.37
46.1
46.2
46.3
46.4
46.5
46.6
46.7
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46.10
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46.15
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46.17
46.18
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46.20
46.21
46.22
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46.25
46.26
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46.31
46.32
47.1
47.2
47.3
47.4
47.5
47.6
47.7
47.8
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47.12
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47.17
47.18
47.19
48.1
48.5
48.6
48.7
48.9
48.10
48.12
48.13
48.14
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48.19
48.23
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48.26
48.27
48.28
48.29
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
54.7
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54.10
54.18
54.19
54.20
54.22
54.32
54.33
54.35
55.2
55.3
55.4
55.5
55.6
55.7
55.8
55.9
55.10
55.11
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55.13
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55.21
55.25
55.38
55.41
55.44
56.3
56.7
56.9
ПравообладателямПользовательское соглашениеПолитика конфиденциальности • Контакты: e-mail: helplearn@yandex.ru