Задача №3.31
Условие
Главную часть дифференциального блока составляют два неизменно связанных между собой шкива A, ось которых подвешена к неподвижному крюку. Желоба их снабжены зубцами, захватывающими бесконечную цепь, образующую две петли, в одну из которых помещен подвижной блок B. К подвижному блоку подвешен поднимаемый груз Q, а к свисающей с большого блока ветви свободной петли приложено усилие P. Радиусы шкивов A суть R и r, причем r<R. Требуется найти зависимость усилия P от величины поднимаемого груза Q и определить это усилие в случае: Q=500 Н, R=25 см, r=24 см. Трением пренебречь.Решение
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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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2.13
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2.20
2.21
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2.24
2.25
2.26
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2.28
2.29
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2.31
2.32
2.33
2.34
2.35
2.36
2.37
2.38
2.39
2.40
2.41
2.42
2.43
2.44
2.45
2.46
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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
3.9
3.10
3.11
3.12
3.13
3.14
3.15
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3.18
3.19
3.20
3.21
3.22
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3.24
3.25
3.26
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3.34
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3.38
4.1
4.2
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4.4
4.5
4.6
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4.10
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4.54
4.55
4.56
4.57
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4.61
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5.1
5.2
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6.1
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8.1
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8.43
9.1
9.2
9.3
9.4
9.5
9.6
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10.1
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11.1
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11.3
11.4
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11.7
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12.1
12.2
12.3
12.4
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13.1
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13.4
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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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23.48
23.49
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23.51
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23.55
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23.60
23.61
23.62
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23.64
23.65
23.66
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23.69
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23.71
24.1
24.2
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24.31
24.34
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25.1
25.2
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26.1
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26.35
27.1
27.2
27.3
27.4
27.5
27.6
27.7
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27.10
27.11
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27.14
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27.20
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27.24
27.25
27.26
27.27
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27.32
27.33
27.34
27.35
27.36
27.37
27.38
27.39
27.40
27.41
27.42
27.43
27.44
27.45
27.46
27.47
27.48
27.49
27.50
27.51
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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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28.11
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29.1
29.2
29.3
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30.1
30.2
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30.4
30.5
30.6
30.7
30.8
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30.10
30.11
30.12
30.13
30.14
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30.24
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30.30
31.1
31.2
31.3
31.4
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31.11
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31.25
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31.31
31.32
31.33
31.34
31.35
32.1
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32.3
32.4
32.5
32.6
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32.11
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32.15
32.16
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32.20
32.21
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32.26
32.27
32.28
32.29
32.30
32.31
32.32
32.33
32.34
32.35
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32.37
32.38
32.39
32.40
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32.44
32.45
32.46
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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
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32.77
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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
32.93
32.94
32.95
32.96
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32.99
32.100
32.101
32.102
32.103
32.104
32.105
32.106
32.107
33.1
33.2
33.3
33.4
33.5
33.6
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33.22
34.1
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34.31
35.1
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36.1
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37.1
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38.1
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39.1
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40.1
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41.1
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42.1
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43.1
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44.1
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45.3
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45.37
46.1
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46.32
47.1
47.2
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48.1
48.5
48.6
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48.12
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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
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49.11
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49.16
53.5
53.12
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54.1
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54.32
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54.35
55.2
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55.25
55.38
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56.3
56.7
56.9