.


:




:

































 

 

 

 





.

. . . . . . . . . . . . . . . . . . . . . . . . . , . . , . . . . .

 

. . . . . . . . . . . . . . . . . . .

 

. . . . . . . (). . . . . , . . . . . . .

 

()

. . . . . . . . . . . . . . .

 

. . (, , , ) , . . . . . .

. , , . . , . . . . . . . . .

(). . . . , . . . . . . . .

 

 

-

:

,

- , x,y,z - .

.

,

- D t.

,

.

.

.

.

OX

;

V0X 0 - t=0.

(aX=const)

,

- , ; - , .

,

- .

j.

Dj - Dt.

:

w0 j0 - .

.

, :

; .

 

 

1. (). t1=2 t2=4 , t1 t2.

 

OX.

(/).

V1 V2:

 

, /;

, /.

/.

 

: V1=7 /, V2=11,4 /, /.

 

2. = 25 V0 = 15 / a = 300 . t S ?

.

 

OY , OX . OX , OY :

, y0=H, ,

t=tn, x=S, y=0.

(1)   (2)

(2), tn=3,1c.

tn (1), S=41.

: tn=3,1, S=41.

 

3. R V=kt k=const. .

.

 

, ;

.

.

.

:

 

4. , R , t1 . a b - . N2 t2 . j0=0.

:

.

:

.

j (j=2pN2) w ,

: ; .

 

 

1.1. 196 4 . .

1.2. ? 3 /, 9 /. .

1.3. , t = 0,1 ?

1.4. . 2 , - 1 . , ?

1.5. V0 = 5 /. τ = 2 c . .

1.6. , , τ = 2 V01 = V02 =29,4 /. ?

1.7. . , , .

1.8. , , h = 8,75 ∆t = 3 . , .

1.9. V0 = 4 /. , V0 . h ? .

1.10. =5 /2. , , n- , , . V0 = 0.

1.11. 2 2 20 . 60 /. , . .

1.12. τ. r?

1.13. . τ =1 . ? , V0 = 0.

1.14.

V0 = 20 /.

h = 15 ? V ? .

1.15. . τ = 2 c S = 40 . V0 V .

1.16. , S = 5 . 1 , . α ? .

1.17. . 3 . , . .

1.18. , V0 = 9,8 /, , . ?

1.19. , α = 300 , h: t1 = 10 t2 = 50 . .

1.20. V0 = 200 / α = 600 . h R .

1.21. α . , S 4 h.

1.22. . t = 3 α = 600. V0 ?

1.23. α = 600 c V0 =19,6 /. τ = 0,5 .

1.24. , V0 = 9,8 /, , . α ?

1.25. V0 = 10 / α = 450 . , S = 3 ?

1.26. h = 20 V0 = 10 /. S ?

1.27. τ = 10 n = 300 /. , .

1.28. R = 10 τ, , V = 79,2 /. τ.

1.29. . 50 n1 = 4 / n2 = 6 /. e.

1.30. R = 200 S = 2t3 (). an aτ? .

1.31. XY X = 2t0,5t3 (), Y = 2t t2 (). V .

1.32. R = 10 . an= 4,0 /2, α = 600. .

1.33. R = 4 S = 10 + t2 - 2t. a τ, an t = 2 .

1.34. = 4t - - 0,05t2. , . . , , .

1.35. , , S = 2t t2 + t3 (). 1 5 .

1.36. , , S = 2 + 12t - -6t2 + 4t3 (). 1 4 .

1.37. , R = 7 , S = 4 + 2t + 0,5t2 (). a .

1.38. n0 = 10 / n = 6 /. N = 50 . e t.

1.39. . φ = 6t -2t3. e .

1.40. 20 5/2. 2 ?

1.41. R = 0,2 , . φ = 3 + 0,1t3 - t. t = 5 τ, an .

1.42. ε ~ t. t = 0 ω = 0. an ~ tk. k.

1.43. φ = A + Bt + Ct2, A = 10 , B = 20 /c, = -2 /c2. t = 4 c , R = 1 .

1.44. R = 4 , , . . t = 3 h =1,5 . .

1.45. R = 20 aτ = 5 c/2. an = 2aτ?

1.46. V0 = 19,6 / α = 300 . R .

1.47. V0 = 19,6 / α = 300 . τ = 1,5 .

1.48. V0 = 9,8 /. ?

1.49. . R ~ Vk. k. .

1.50. . ~ Vk. k. .

1.51. S = 8 . h = 6 . . V0 , ? a ?

1.52. , S = 20 c V0 = 20 /. ? ?

1.53. h = 10 V0 = 10 / . ? a ?

1.54. , α = 300 . h = 80,0 . , .

1.55. d = 5 (""). , t φ = φ0 e-at sin ωt (φ0 = π/3, a = 1 c-1, ω = 1 -1). "" , . "" t=0.

 

 

2.

 

( ) :

.

- , , - , - , - - .

 

1. . a = 300 . . , a = 2 /2 .

 
 

: , , . .

II

. (1)

OY , OX . (1)

O: , (2)

OY: . (3)

. (4)

(2) (4), (3):

.

.

: .

 

2. , 0,2 / 2, /. , 0,1. , . g = 9,8 /c 2,

 
 

: . II :

, .

OX OY.

(1)

(2)

an = w2 R, FTP = μN.

(2) N = m (a1 + g),

FTP = mm (a1 + g).

(1):

mw2R =mm (a1 + g).

,

.

R = 0,1 .

: R = 0,1 .

 

3. , , m. , (F = kV), , a1 = g/2. k = const.

 

, a = dV / dt, F = kV, :

:

 

:

.

t = t1 a1 = g/2:

:

.

.

: .

 

 

2.1. , α = 300, l = 167 . , μ = 0,2?

2.2. m = 2,5 (α = 300) t = 5 S = 9 . V0 = 1 /, μ = 0,1. F?

2.3. , α = 300. , μ = 0,4?

2.4. , h = 2 , α = 450? , , α = 300.

2.5. α = 300. l = 2 . , , t = 2 . μ.

2.6. , α = 300. l = 2 , μ = 0,2. , V0 = 0?

2.7. , α = 300. S t S = ct2, = 1,5 /2. μ.

2.8. l = 13 h = 5 m = 26 . μ = 0,5. F : ) ; ) ?

2.9. . a , F = 200 , α = 450? m = 50 . μ = 0,1.

2.10. m1 = 3 m2 = 5 , = 24 . F m1? μ = 0,2.

2.11. : ) ; ) . , , .

2.12. m , . a , ?

2.13. , m1 = 1 , m2 = 2 . h = 1 . t ?

2.14. , m = 95 . m1 = 7,5 , m2 = 2,5 . S t = 2 ? .

2.15. . m1 = 0,5 m2 = 2 , , . μ = 0,05. F .

2.16. m1 = 5 m2 = 2 , . m2, a = 5,4 /2.

2.17. . m1 = 1 , m2 = 2 , . m , F = 1 . .

2.18. , α = 300. m1 = 20 , m2 = 12 , . c a = 4 /2. m2 . .

 

2.19. m = 300 α = 300, , β = 600 . , μ = 0,1.

2.20. , . 30 . , , 3 . ?

2.21. m F, α . , , μ?

2.22. , α = 300 , m = 500 . , V0 = 2 /. μ = 0,01.

2.23. M = 100 m = 100 a = 0,1 /2. F T, m = 0,006.

2.24. m = 10 , F α = 300 . τ = 1 V1 = 2 / V2 = 4 /. μ = 0,15. F.

2.25. , , F. : ) ; ) ?

2.26. b, , , . w.

2.27. l m. , ? , n .

2.28. , l = 1,5 , n = 28 /. a ?

2.29. , V = 36 /, . R.

2.30. , 0. . 0. 0 n = 45 /? α = 450 . μ = 0,2.

2.31. . F, m?

2.32. R = 200 . , , ? V = 100 /.

2.33. , l = 1 , . T α = 600 .

2.34. ; , .

2.35. m = 100 . ?

2.36. m = 25 l = 2,5 F = 500 . a , ?

2.37. R = 40 . a = 300. u ?

2.38. , V = 900 /, " ". R, ?

2.39. , l = 25 , . n = 2 /, m = 60 . F.

2.40. R ω. , . ? ( α, ).

41. , R = 90 ? a ? μ = 0,4.

2.42. R. h ? .

2.43. m = 3 V = 36 / R = 20 . c F , , , α = 300 c ?

2.44. ω , ? l.

2.45. R = 40 . ? V = 50,4 /, μ = 0,6.

2.46. V , , ?

2.47. V " " R = 6 , ?

2.48. , , . a , ?

2.49. r = 0,1 . , n = 10 /. m = 100 .

2.50. n = 2 /c . . , r = 5 ?

2.51. , d = 2,0 . μ = 0,25. , , ?

2.52. m = 50 . μ = 0,4. α F = 300 , ? ?

2.53. m0 = 0,5 , . t = 0 μ = 50,0 /. , , 5 c (, ).

2.54. m1 = 10,0 m2 = 20,0 , c F = 100 . a F, ? , μ = 0,3.

2.55. R = 1,0 . , l1 = π/6 l2 = π/4 . , t = 0 V0 = 0. , , .


:

,

n , .

F =const

A=FDrcosa,

a - . Dt

.

,

- dt.

.

,

h .

,

k , x .

, ,

E+E=const.

.

 

 

1. m1, V2, m2 U1 . U2 ? .

,

.

 
 

, :

,

:

 

 
 

2. M l. . V0 , ? . . m.

: V - , U - .

OX

mV0 = (m + M) V. (1)

, OX.

; - (m+M)gh , h = 2R =2l.

. (2)

. (2¢)

, . II :

(3)

(1) V0:

. (4)

(3)

(5)

(5) (2¢),

V0, (4)

:

3. , ? V, m, k.

, , , , .. V=const.

N , :

, R - .

:


 

3.1. m = 2,0 h = 20 V = 15 /. , .

3.2. s h = 1,5 α = 450? μ = 0,2.

3.3. . F α = 300. , . m = 100 , μ = 0,33, s = 50 .

3.4. τ = 5 V = 64,8 /. m = 600 , μ = 0,04. , , .

3.5. ? V0= 36 /, V= 21,6 /, μ = 0,1, h = 12 , l = 80 , m = 4×13 .

3.6. A, k = 800 /, Dx1 = 6 , ∆2 = 8 ?

3.7. h = 8 l = 100 . m = 60 . , V = 11 /?

3.8. m = 100 a = 0,2 /2. μ = 0,1, l = 50 , α = 300. A ?

3.9. V = 80 /. S = 150 . , m = 1000 , μ = 0,02?

3.10. S = 2 V1 = 36 V2 = 72 /. , m = 103 , m = 0,001.

3.11. m = 106 V = 36 / 10 1 . m = 0,002. , .

3.12. l , V0, α, μ? , μ , V0, l0.

3.13. m = 4 h = 10 S = 80 V0 = 36 /. , V = 21,6 /? m = 0,1.

3.14. V = 14,4 /. , m = 6 , α = 100, μ = 0,09?

3.15. S = 5 V = 2 /. , m = 400 μ = 0,01.

3.16. m = 2 = + Bt + Ct2 + t3, = 10 , = -2 /, = 1 /2, = - 0,2 /3. , , t1 = 2 t2 = 5 .

3.17. m = 10 , , F = 100 , α = 300 . , , S = 10 . , μ = 0,1.

3.18. m = 103 h = 9 t = 3 . : 1) ; 2) . V0 = 0.

3.19. m = 2000 a=100 , S = 100 V = 36 /. μ = 0,05; V0 = 0. .

3.20. m = 2 h = 1 = 78,5 . a ?

3.21. m = 20 , , F = 6000 . V = 54 /. , .

3.22. m = 10 d = 4 V1 = 600 / , , V2 = 400 /. .

3.23. m1 = 990 ,





:


: 2016-12-04; !; : 807 |


:

:

, ; , .
==> ...

1008 - | 823 -


© 2015-2024 lektsii.org - -

: 0.356 .