Задача №41.2

Условие

Тонкий прямолинейный однородный стержень длины l и массы M вращается вокруг оси, проходящей перпендикулярно стержню через его конец, по закону φ=at2. Найти величины и направления равнодействующих Jn и Jτ центробежных и вращательных сил инерции частиц стержня.

Решение




Предыдущая задача №1
Определить силу тяжести, действующую на круглый однородный диск радиуса 20 см, вращающийся вокруг оси по закону φ=Зt2. Ось проходит через центр диска перпендикулярно его плоскости; главный момент сил инерции диска относительно оси вращения равен 4 Н*см.
Следующая задача №3
Колесо массы M и радиуса r катится без скольжения по прямолинейному горизонтальному рельсу. Определить главный вектор и главный момент сил инерции относительно оси, проходящей через центр масс колеса перпендикулярно плоскости движения. Колесо считать сплошным однородным диском. Центр масс C движется по закону xC=at2/2, где a — постоянная положительная величина. Ось x направлена вдоль рельса.
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
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3.1
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3.3
3.4
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4.1
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5.1
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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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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
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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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23.65
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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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27.1
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27.48
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27.55
27.58
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27.64
27.65
28.1
28.2
28.3
28.4
28.5
28.6
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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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31.32
31.33
31.34
31.35
32.1
32.2
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32.5
32.6
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32.8
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32.10
32.11
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32.13
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32.32
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32.34
32.35
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32.48
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32.50
32.51
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32.53
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32.56
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32.64
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32.66
32.67
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32.69
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32.75
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32.81
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32.84
32.85
32.86
32.87
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32.89
32.90
32.91
32.92
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32.96
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32.100
32.101
32.102
32.103
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32.105
32.106
32.107
33.1
33.2
33.3
33.4
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33.6
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34.1
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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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37.59
38.1
38.2
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38.53
39.1
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39.4
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40.1
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41.1
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42.1
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43.1
43.2
43.3
43.4
43.6
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43.13
44.1
44.2
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44.6
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45.3
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45.34
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45.37
46.1
46.2
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46.5
46.6
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46.21
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46.31
46.32
47.1
47.2
47.3
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47.11
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47.13
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47.15
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47.19
48.1
48.5
48.6
48.7
48.9
48.10
48.12
48.13
48.14
48.15
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
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49.16
53.5
53.12
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53.16
54.1
54.2
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54.18
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54.32
54.33
54.35
55.2
55.3
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55.21
55.25
55.38
55.41
55.44
56.3
56.7
56.9
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