Задача №32.32

Условие

Точка A, масса которой равна m, прикреплена пружинами, как указано на рисунке. В исходном положении точка находится в равновесии и все пружины не напряжены. Определить коэффициент жесткости эквивалентной пружины при малых колебаниях точки вдоль оси x в абсолютно гладких направляющих и частоту свободных колебаний точки.

Решение




Предыдущая задача №31
Тело A, масса которого равна m, может перемещаться по горизонтальной прямой. К телу прикреплена пружина, коэффициент жесткости которой c. Второй конец пружины укреплен в неподвижной точке B. При угле α=α0 пружина не деформирована. Определить частоту и период малых колебаний тела.
Следующая задача №33
Определить коэффициент жесткости пружины, эквивалентной трем пружинам, показанным на рисунке, при колебаниях точки M в абсолютно гладких направляющих вдоль оси x. Решить ту же задачу, если направляющие расположены вдоль оси y. Определить частоты этих колебаний.
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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2.32
2.33
2.34
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2.44
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2.48
2.49
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2.53
2.54
2.55
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
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3.13
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4.1
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4.55
4.56
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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
9.2
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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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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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26.4
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26.35
27.1
27.2
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27.4
27.5
27.6
27.7
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27.44
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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
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29.1
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30.1
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31.1
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31.25
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31.30
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
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32.18
32.19
32.20
32.21
32.22
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32.24
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32.27
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32.29
32.30
32.31
32.32
32.33
32.34
32.35
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32.37
32.38
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32.75
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32.84
32.85
32.86
32.87
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32.89
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32.91
32.92
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32.100
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32.102
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32.105
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32.107
33.1
33.2
33.3
33.4
33.5
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34.1
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34.6
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34.31
35.1
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36.1
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37.1
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37.54
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37.59
38.1
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38.53
39.1
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40.1
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41.1
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42.1
42.2
42.3
42.4
42.5
42.6
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42.8
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43.1
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44.1
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45.3
45.4
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45.34
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45.37
46.1
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46.6
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46.31
46.32
47.1
47.2
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47.5
47.6
47.7
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47.19
48.1
48.5
48.6
48.7
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48.10
48.12
48.13
48.14
48.15
48.19
48.23
48.24
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
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49.15
49.16
53.5
53.12
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53.15
53.16
54.1
54.2
54.3
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54.5
54.6
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54.18
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54.22
54.32
54.33
54.35
55.2
55.3
55.4
55.5
55.6
55.7
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55.9
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55.11
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55.21
55.25
55.38
55.41
55.44
56.3
56.7
56.9
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