1. 5 , 1 150 45.
2. vmax a max , =3 ω=π/2 /.
3. . 10 , 20 /. .
4. x=A sinωt. 1 5 . , 2 8 . .
5. , 8 0,02 . π/4. .
6. , , 1 =0,02sin(5πt+π/2) 2 =0,03sin(5πt+π/4) .
7. 50 , x=A cosωt, =10 , ω=5 /. , : 1) , ωt=π/3 ; 2) .
8. . 1=3 2=4 . , : 1) , 2) -.
9. - x=2 sinωt =2 sωt . .
10. - x=sinπt = 2 sin(πt+π/2) . .
11. - x=sinπt = 4 sin(πt+π) . .
12. , , π. 3:1.
13. 1,5 2 . φ1=π/2 φ2=π/3 . . .
14. 2 3 . φ1=0, φ2=π/3 φ3=2π/3 . . .
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15. , 0,1 , 2 30, 7,7 . ?
16. 250 , , =1 . .
17. , , 4 . , 1 /.
18. , , , , . 30 . .
19. t = 1 , x=A cos ωt, =20 , ω=2π/3 /. 10 .
20. , 0,1 , 2 30, 7,7 . ?
21. , . 0,5 . .
22. , , 10 .
23. , . ?
24. , , , =4. , k=10-2 . .
25. 40 60 . .
26. m=50 , d=1 , . , . T .
27. t1=5 . t2, , ?
28. 1 10 . .
29. 8 . .
30. 0,003. , , .
31. m=0,2 , , r=0,5 /, k=50 /.
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D mD D E mD mE, x. . . , , ( ) . v0 x. .
1. D (.28) AB. F , , .. , . D E D E . v, , .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
.28
2. AB (.29), , , A1B1. A1B1 D E. F , , .. . , , D .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
0.8 |
.29
3. D E (.30) AB. F , , .. , , . , , D . D v, , .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
0.5 |
.30
4. D E (.31) , AB. F 3 , AB , .. . , , D . D v, , .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
1.6 |
.31
5. E D (.32), , D . AB, D, , . D E , , .. . D v, , .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
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.32
6. E D (.33), , D v0. D , , , AB. , . F , AB , .. .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
.33
7. (t=0) E D (.34), , D . D , , , AB. , . F , , .. a/b = c 3/ c 2.
. ().
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
1.5 |
.34
8. (t=0) E D (.35) D E . D . ( B) .
. x ().
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
1.2 | 4.8 |
.35
9. , , E D (.36) D . D . .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
1.5 |
.36
10. D AB, (.37) , . F , , .. . D . D v, , .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
2.4 |
.37
11. D AB (.38), , , A1B1. A1B1 , . F A1B1 AB , , .. . (t=0) D , , . (t=0) .
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. ().
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
1.2 |
.38
12. D (.39) , AB. AB , . F , , .. . .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
.39
13. D (.40) , . B .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
1.5 | 4.4 |
.40
14. D (.41) , , . . (t=0) .
. x ().
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
1.8 |
.41
15. c 1 (.42), . , , D, ( ). (t = 0) v0, . .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
.42
16. (.43), , D, . 1, c 2. v0. v, , . , .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
.43
17. (.44), , D , . , F 1 = 4sin pt (), 1. 1, c 2. D c v0. , .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
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.44
18. D m (.45), c 1. , , 1, , t . v0.
. x ().
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
1.5 | 0.5 |
.45
19. (.46), , D. 2, c 1. v0, . , .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
.46
20. D (.47), . c 1, 2, 3. v0.
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
.47
21. (.48), , h = 5 D , . c 1 2.
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
.48
22. D , (.49). c 1, 2, 3. v0.
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
.49
23. D, (.50), v0 , c 1.
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
.50
24. D (.51), 1 2. . , = 30 . v0.
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
1.5 |
.51
25. D (.52) 1. v0. v, , .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
.52
26. D (.53) . (t=0) D , , v0. (t=0) . v, , .
. x ().
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
1.5 |
.53
27. D (.54) . . v, , .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
.54
28. D (.55) . , . v , , . .
mD, | mE, | v0, / | c 1, / | c 2, / | c 3, / | , / | , | p , 1/ |
.55