Теоретическая механика. Смогунов В.В - 48 стр.

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48
Таблица 4
Номер
вар.
Уравнение вращения
тела
ϕ
e
=f
1
(t),рад
Уравнение относительного
движения точки М
ОМ=s
r
= f
2
(t), см
t
1
,
с
R,
см
а,
см
α,
град
1
2t
3
–t
2
18sin π/4·t
2/3 – 25 –
2
0,4t
2
+t
20sinπt
5/3 20 – –
3 2t+0,5t
2
6t
3
2 – 30 –
4
0,75t+1,5t
2
150πt
2
1/6 25
– –
5
0,5t
2
20cos2πt
3/5 – 40 60
6
4t+1,6t
2
10+10sin2πt)
1/8 – – –
7
2t
2
–0,5t
25sin π/3· t
4 – 25 –
8 5t–4t
2
15/8·πt
3
2 30 30 –
9 0,2t
3
+t
)(25
2
tt +
2 – 60 45
10 t–0,5t
2
20sinπt
1/3 – 20 –
11
0,5t
2
8t
3
+2t 1 –
54
–
12 6t+t
2
30π cos π/6· t
3 60 – –
13 t+3t
2
6t+4t
3
2 40 – –
14 2(t
2
-t) 50(t
2
-t)+50 1 – 50 30
15 t
2
-5t
πR/3 · (t
2
-2t)
3 30 – –
16 2t+4t
2
25π(t+t
2
)
1/2 25 – –
17 2t–3t
2
3
3/35 t⋅
2 – 20 30
18 2(t
2
-t)
πR/4 · (4-t
3
)
1 10 – –
19 3t
2
-8t 4(3t - t
2
) 2 –
312
30
20 2t-0,3t
2
75π(0,1t+0,3t
3
)
1 30 – –
21 0,6t
2
t⋅π 16/sin66
4 – 35 30
22 2t
3
-11t
10π(t
3
+t)
1 – 40 –
23 t
2
-2t
30sinπt/4
3 – 25 –
24 3t
2
-9t
3π/4· R · (2-t)
2
1 15 – 45
25 7t–3t
2
πR/2 · (t
2
-3)
2 20 30 –
26 t
3
–6t
60cos πt
2
/3
1 30 – –
27 15t–4t
2
30(0,5t - t
2
)-60 1/2 60 – 45
28 4t–1,5t
2
30(2t
2
-t
3
) 1 –
320
60
29 -0,5t
3
80sin πt/8
2 40 – –
30 5t–4t
2
40(t
2
+t) 0 – 50 – 
                                                                                    Таблица 4
Номер   Уравнение вращения         Уравнение относительного             t1,   R,    а,     α,
 вар.          тела                   движения точки М                   с    см    см    град
            ϕe=f1(t),рад                ОМ=sr= f2(t), см
  1           2t3–t2                       18sin π/4·t                  2/3   –     25     –
                       2
  2           0,4t +t                        20sinπt                    5/3   20    –      –
  3          2t+0,5t2                           6t3                     2     –     30     –
  4         0,75t+1,5t2                      150πt2                     1/6   25    –      –
                           2
  5            0,5t                         20cos2πt                    3/5   –     40    60
                               2
  6          4t+1,6t                     10+10sin2πt)                   1/8   –     –      –
               2
  7          2t –0,5t                     25sin π/3· t                  4     –     25     –
                           2                                3
  8           5t–4t                         15/8·πt                     2     30    30     –
  9           0,2t3+t                      5 2 (t 2 + t )               2     –     60    45
                               2
 10           t–0,5t                         20sinπt                    1/3   –     20     –
 11            0,5t2                            3
                                              8t +2t                    1     –    4 5     –
                           2
 12            6t+t                      30π cos π/6· t                 3     60    –      –
 13            t+3t2                          6t+4t3                    2     40    –      –
 14           2(t2-t)                     50(t2-t)+50                   1     –     50    30
                2                                       2
 15            t -5t                     πR/3 · (t -2t)                 3     30    –      –
                           2
 16           2t+4t                         25π(t+t2)                   1/2   25    –      –
                           2
 17           2t–3t                         5 3 / 3⋅t       3           2     –     20    30
                    2                                           3
 18           2(t -t)                     πR/4 · (4-t )                 1     10    –      –
 19           3t2-8t                        4(3t - t2)                  2     –    12 3   30
                               2                                    3
 20          2t-0,3t                    75π(0,1t+0,3t )                 1     30    –      –
 21            0,6t2                     6 6 sin π / 16 ⋅ t             4     –     35    30
                3                                   3
 22           2t -11t                       10π(t +t)                   1     –     40     –
                2
 23            t -2t                       30sinπt/4                    3     –     25     –
                   2                                                2
 24           3t -9t                    3π/4· R · (2-t)                 1     15    –     45
                           2                            2
 25           7t–3t                       πR/2 · (t -3)                 2     20    30     –
               3
 26            t –6t                      60cos πt2/3                   1     30    –      –
                               2                        2
 27           15t–4t                    30(0,5t - t )-60                1/2   60    –     45
                               2                    2 3
 28          4t–1,5t                        30(2t -t )                  1     –    20 3   60
                           3
 29           -0,5t                        80sin πt/8                   2     40    –      –
                           2                        2
 30           5t–4t                          40(t +t)                   0     –     50     –




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