Теоретическая механика. Смогунов В.В - 9 стр.

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• Механика

9
Таблица 1
Уравнения движения
Номер
варианта
x = x(t), м y = y(t), м
t
1
, c
1 2 3 4
1 –2t
2
+3 –5t ½
2
4cos
2
(πt/3)+2 4sin
2
(πt/3)
1
3
–cos(πt
2
/3)+3 sin(πt
2
/3)–1
1
4 4t+4 –4/(t+1) 2
5
2sin(πt/3) –3cos(πt/3)+4
1
6 3t
2
+2 –4t ½
7 3t
2
t+1 5t
2
–5t/3–2 1
8
7sin(πt
2
/6)+3 2–7cos(πt
2
/6)
1
9 –3/(t+2) 3t+6 2
10
–4cos(πt/3) –2sin(πt/3)–3
1
11 –4t
2
+1 –3t ½
12
5sin
2
(πt/6) –5cos
2
(πt/6)–3
1
13
5cos(πt
2
/3) –5sin(πt
2
/3)
1
14 –2t–2 –2/(t+1) 2
15
4cos(πt/3) –3sin(πt/3)
1
16 3t 4t
2
+1 ½
17
7sin
2
(πt/6)–5 –7cos
2
(πt/6)
1
18
1+3cos(πt
2
/3) 3sin(πt
2
/3)+3
1
19 –5t
2
-4 3t 1
20 2–3t–6t
2
3–3t/2–3t
2
0
21
6sin(πt
2
/6)–2 6cos(πt
2
/6)+3
1
22 7t
2
–3 5t ¼
23 3–3t
2
+t 4–5t
2
+5t/3 1
24
–4cos(πt/3)–1 –4sin(πt/3)
1
25 –6t –2t
2
–4 1
26
8cos
2
(πt/6)+2 –8sin2(πt/6)–7
1
27
–3–9sin(πt
2
/6) –9cos(πt
2
/6)+5
1
28 –4t
2
+1 –3t 1
29 5t
2
+5t/3–3 3t
2
+t+3 1
30
2cos(πt
2
/3)–2 –2sin(πt
2
/3)+3
1
                                                               Таблица 1

Номер                      Уравнения движения
t1, c
варианта     x = x(t), м                         y = y(t), м
1               2                                 3             4
1           –2t2+3                             –5t              ½
2       4cos2(πt/3)+2                      4sin2(πt/3)          1
3       –cos(πt2/3)+3                     sin(πt2/3)–1          1
4            4t+4                           –4/(t+1)            2
5         2sin(πt/3)                     –3cos(πt/3)+4          1
6            3t2+2                             –4t              ½
7          3t2–t+1                         5t2–5t/3–2           1
8       7sin(πt2/6)+3                    2–7cos(πt2/6)          1
9          –3/(t+2)                           3t+6              2
10        –4cos(πt/3)                     –2sin(πt/3)–3          1
11           –4t2+1                             –3t              ½
12        5sin2(πt/6)                     –5cos2(πt/6)–3         1
13        5cos(πt2/3)                      –5sin(πt2/3)          1
14          –2t–2                           –2/(t+1)             2
15         4cos(πt/3)                          –3sin(πt/3)       1
16             3t                                4t2+1           ½
17       7sin2(πt/6)–5                     –7cos2(πt/6)          1
18       1+3cos(πt2/3)                     3sin(πt2/3)+3         1
19          –5t2-4                               3t              1
20         2–3t–6t2                         3–3t/2–3t2           0
21       6sin(πt2/6)–2                     6cos(πt2/6)+3         1
2
22           7t –3                                 5t            ¼
23          3–3t2+t                            4–5t2+5t/3        1
24       –4cos(πt/3)–1                         –4sin(πt/3)       1
25            –6t                                –2t2–4          1
2
26       8cos (πt/6)+2                    –8sin2(πt/6)–7         1
2                                 2
27       –3–9sin(πt /6)                   –9cos(πt /6)+5         1
28           –4t2+1                            –3t               1
29         5t2+5t/3–3                        3t2+t+3             1
30       2cos(πt2/3)–2                    –2sin(πt2/3)+3         1

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