M F -
l , , .
-
m r .
,
. .
, :
() -
() -
R m .
() R 1 R 2
,
R , ,
z, ,
- J 0 , , , ,
m d .
( )
M , , L=Jω (J , ω ). J = const,
ε , M.
J ω .
, :
, :
φ .
.
1
1. t 1 = 15c υ 1=5 /, t 2=10 υ 2 =8 / t 3 = 6 v 3=20 /. < υ > .
2. x=At+Bt2, A=4 /, =1 /2. , υ . . , , .
3. r = 10 , , =0,5 /2. a , .
4. υ 0=20 / (.). , h=15? . . g=10 /2.
|
|
5. , 0,5 , . 0,15. , : 1) , ; 2) .
6. . M=15 . φ=60 . υ 1 , m =20 υ 2=600 /?
7. m = 500 , , t = 1 υ 1 = 40 / υ 2 = 28 /. F.
8. R = 20 , J = 0,1 ∙2, , m = 0,5 . h 0 = 1 . t ? T. .
9. m = 80 R = 1 n 1 = 20 /. . n2 , , , J1 = 2,94 J2 = 0,98 ∙2? .
10. 1 0,2 3-1 , . .
2
1. υ 1=60 /, υ 2 =80 /. ?
2. m =10 , υ 1=4 /, m =4 , υ 2 12 /. , , : 1) , ; 2) .
3. : x 1 =A 1 +B 1t +C 1 t2, x 2 =A 2 +B 2t +C 2 t2, A 1=10 , A 2=1 , B 1 =B 2 =4 /, C1= - 4 /2, 2= 0,5 /2. t ? v 1 v 2 a1 2 .
4. , , h=8,6 t=3 . , .
5. R = 20 φ =A+Bt+t3, A =3 , = -1 /, =0,1 /3. a n t = 10 .
6. , 2 1 , . 0,15. : 1) , ; 2) ; 3) .
7. υ 1 = 3 / , υ 2 = 1 /. m 1 m 2 , ?
|
|
8. , n = 5 /, E =60 . L .
9. l = 15 , , . ω υ ?
10. , J=2452, 20-1. , 1 . 0,2. , .
3
1. v 1=2 /, v 2=8 /, 5 /. .
2. 400 H, , m =20 h =15 . ? F?
3. s = A+Bt+Ct2+Dt3 ( = 0,5, =0,1 /, C = 0,1/2, D = 0,03 /3). : 1) 2 /2; 2) .
4. v 0=20 / . t=1 . h ?
5. . N=50 , n1 = 4 -1 n2==6 -1. .
6. , α = 45˚. s = 40 , υ = 2 /. .
7. m 1 = 3 υ = 4 / . , Q, .
8. l = 1 m = 0.5 , . e , M = 100 ∙?
9. , J = 245 ∙2, n = 20 /. , , N = 1000 . t, .
10. 2 1 , 8 . . .
4
1. 3 /, 6 /. , .
2. : x 1 =A 1 t+B 1t2 +C 1 t 3, x 2 =A 2 t+B 2t2 +C 2 t 3, A 1=4 /c, B 1=8 /2, C1= - 16 /3, A 2=2 /, B 2 = - 4 /2, 2=1/3 . t ? v 1 v 2 .
3. , t = 0,1 ?
4. =-2 /2. N 240 -1 90 -1? t, .
5. 150 72 /. 500 . .
|
|
6. m =1 , v 0 = 20 /, t=3 . , . .
7. m 1=100 , υ 1 = 500 /, , m 2 = 10 , . u , : ) ; ) υ 2 = 36 / , ?
8. , J = 245 ∙2, n = 20 /. t = 1 , , . N, . .
9. m = 5 F = 20 . t = 5 ?
10. 0,2 5 , . . 1ͷ. , .
5
1. 8 , 12 . ?
2. s = A-Bt+Ct2+Dt3 ( =6 , = 3 /, C = 2 /2, D = 1 /3). 1 4 : 1) ; 2) .
3. 5 /. t=2 . .
4. 62,8 /. , 25 ? ?
5. 600 20º, 0,05?
6. F s =5 2 /. A , 400 0,01.
7. m = 5 R = 128 . F υ = 9 /.
8. R = 0,5 , m = 10 . J , , a = 2 /2.
9. , , t = 1 n1 = 300 / n 2 = 180 /. J = 2 ∙2. e , M, N, t = 1 .
10. 1 , 50 , 1,5 , 0 50 -1? 1 .
6
1. , , ¼ 16 /, 8 /.
|
|
2. 0. , 2 16 0.
3. 21 /. . .
4. , , 4 5 . ?
5. 10 , ( α = 20º), , , F = 8 . , : 1) ; 2) , .
6. m = 20 , υ 0 = 54 / a = 0,3 /2. F ? t ? s ?
7. , , , , . m 1 = 5 , m 2 = 0,5 . υ 1 = 500 /. l ?
8. m 1 = m 2 υ. E 1 = 40 . E 2 .
9. m0 = 60 m = 100 . n , r = 5 ? υ 0 = = 4 /. R = 10 . , .
10. 50 120 , ? ( )
7
1. 16 /. 12 /, 5 /. .
2. 3 s = At2+Bt ( = 0,4 /, = 0,1 /). 1 : 1) ; 2) ; 3) .
3. , , 0,5 ? ? .
4. , , 10 20 , 3 . ?
5. 2 0,5 0,3 (..). , , , .
6. = 70 t = 14 60 /. , .
7. , , , , . m 1 = 5 , m 2 = 0,5 . υ 1 = 500 /. l ?
8. R = 0,2 m = 10 . , , = 15 . n t = 10 ? . .
9. D = 6 m = 0,25 n = 4 /. .
10. J L .
8
1. , 1000 , v1 = 25 /, v2 = 250 /. ?
2. - , i,j . 1 : 1) ; 2) .
|
|
3. 900 . 1100 . . . .
4. , 2 /2, 10 . , 40 ?
5. j=60 . 0 20 . . .
6. α β 30 45, 0,45 0,5 (..). , , , , 2 .
7. m 1 = 1 , υ0 = 1/, m 2 = 0,5 . u , : ) ; ) υ 2 = 0,5 / , ; ) υ 2 = 0,5 / , .
8. 0,5 m = 50 F = 100 . e . t n = 100 /? . .
9. e = 0,5 /2 t 1 = 15 L = 73,5 ∙2/. E t2 = 20 .
10. , 100 0,4 = 10 /, ?
9
1. . , v1 =2,0 /, v2 = = 10 /?
2. - +2k, i,j,k , z. : 1) ; 2) ; 3) 2 .
3. 40 . , ?
4. , , 5 20 -1 4 . , ?
5. , , , 30(..). 1 4 , 2 6 . 1, .
6. , 2 : ) 2 5 /; ) 8 /?
7. m 1 = 5 m 2 = 100 . E 2 = 7,5 . E 1 ?
8. R = 0,2 m = 5 , . ω t ω = A + Bt, = 8 /2. F, . .
9. υ = 7,2 /. s ? 10 100 .
10. , ? 30, 7,0 /, ?
10
1. , , 10 , v = 30 + 2 t. t = 0 S0 = 0.
2. 100 , x = Ct3, C = 10 /3 . , 54 /.
3. 1 . , , : 1) 10 ; 2) 10 .
4. , , 120 / 480 / 36 . ?
5. 1 15º . 0,05, , 2,5 /, 6 .
6. l =2 , 100 , φ =30, f =0,1 =1 /2.
7. m = 1 υ = 10 /. h , Ep E .
8. , J = 63,6 ∙2, ω = 31,4 /. M, t = 20 . .
9. n = 900 /. , , N = 75 . A = 44,4 . J M.
10. m=0,5 2 /. 3. 100 . ? 0,5 .
11
1. t 1 = 5c v 1=5 /, t 2=1 v 2 =10 / t 3 =6 v 3=25 /. .
2. x=At+Bt2, A = 8 /, = - 0,05 /2. , v . . , , .
3. 40 /. 3 ? ?
4. , , A=0,1 /2. , 0,4 /.
5. 60 , , . , 100 , 2 . , 0,1, , .
6. m = 500 , , t = 1 υ 1 = 40 / υ 2 = 28 /. F.
7. m 1 = 2 υ 1 = 3 / m 2 = 8 υ 2 = 1 /. , u 1 u 2 , : ) ; ) .
8. R = 20 , J = 0,1 ∙2, , m = 0,5 . h 0 = 1 . t ? T. .
9. m = 80 R = 1 n 1 = 20 /. . n2 , , , J1 = 2,94 J2 = 0,98 ∙2? .
10. , , , . , .
12
1. v 1=60 /, v 2 =80 /. ?
2. m =10 , v 1=4 /, m =4 , v 2 12 /. , , : 1) , ; 2) .
3. s t s = A+Bt+Ct2, = 3 , = 2 / = 1 /2. υ , .
4. 45 . , v0 = 20 /.
5. r = 20 φ =A+B t+t3, A=3 , = -1 /, =0,1 /3. a n t = 10 .
6. , , a = 0,5 /2. t = 12 , . 0,01. υ t . a ? s ?
7. , 70 , 7 /. , 5 . .
8. , n = 5 /, E =60 . L .
9. l = 15 , , . ω υ ?
10. , J=2452, 20-1. , 1 . 0,2. , .
13
1. v 1=6 /, v 2=9 /. .
2. F=400 H, , m =20 h =15 . ? F?
3. s = A+Bt+Ct2+Dt3 (C = 0,1/2, D = 0,03 /3). : 1) 2 /2; 2) .
4. 12 30 12 /. () ; , , . .
5. . N=50 , n1 = 4 -1 n2=6 -1. .
6. , α = 45˚. s = 40 , υ = 1,5 /. .
7. 20 , υ 40 . , , . ?
8. l = 1 m = 0,5 , . e , M = 100 ∙?
9. , J = 245 ∙2, n = 20 /. , , N = 1000 . t, .
10. , , 50 . 2 20 . 98,1 . . 1-2 , , 2,36 /2.
14
1. 7,2 /. 150 . , 500 .
2. : x 1 =A 1 t+B 1t2 +C 1 t 3, x 2 =A 2 t+B 2t2 +C 2 t 3, A 1=4 /c, B 1=1 /2, C1=-6 /3, A 2=2 /, B 2 = - 4 /2, 2=1/3 . t ? v 1 v 2 .
3. R , , υ 1 , , 2,5 υ 2 , r = 5 .
4. 12 30 12 / (.). , : , . .
5. , 20 /, 40 . .
6. m =1 , v 0 = 20 /, t=3 . , . .
7. 700 5 300 . , 4 . .
8. , J = 245 ∙2, n = 20 /. t = 1 , , . N, . .
9. m = 5 F = 20 . t = 5 ?
10. . , 10 .
15
1. 8 , 12 . ?
2. s = A-Bt+Ct2+Dt3 ( =5 , = 8 /, C = 4 /2, D = 1 /3). 1 4 : 1) ; 2) .
3. , , t = 0,50 c υ, 1,5 υx . υx ?
4. 62,8 /. , 25 ? ?
5. , 300 , . 600, . .
6. , , 5 1 /. 60 . , .
7. m = 5 R = 128 . F υ = 9 /.
8. R = 0,5 , m = 10 . J , , a = 2 /2.
9. m l 10 -1 , . , , . .
10. 1 , 50 , 1,5 , 0 50 -1? F 1 .
16
1. 1 /, 3 /. .
2. , , (/). , .
3. v 0=10 /. h=12,5 . .
4. n = 900 /. , , N = 75 . t ?
5. , , m 1=5 v 2=1 /. m 2=60 . A, .
6. m = 20 , υ 0 = 54 / a = 0,3 /2. F ? t ? s ?
7. , , , , . m 1 = 5 , m 2 = 0,5 . υ 1 = 500 /. l ?
8. m 1 = m 2 υ. E 1 = 40 . E 2 .
9. 1,5 180 n = 10 -1. 60 . , ?.
10. 50 120 , ? .
17
1. 16 /. 12 /, 5 /. .
2. R = 10 a τ. a n t = 20 , , υ = 10 /.
3. , 0,5 ? ? .
4. , , 10 20 , 3 . ?
5. 3 , . , , 1,8 . .
6. 5 2,5 , 5 . , .
7. , 10-10 .
8. R = 0,2 m = 10 . , , = 15 . n t = 10 ? . .
9. 1 1 . 1 . .
10. 0,01 2 . 3 4 , . 30. , m2 . 0,1 . .
18
1. 4 /, 3/. .
2. , s = A Bt + Ct2, = 2 / = 1 /2. υ , τ, n t = 3 , , t′ = 2 a′n = 0,500 /2.
3. 550 10 /. 950 . . . .
4. , 12 /2, 20 . , 80 ?
5. 3 2 1 . , 60 . , .
6. m = 50 , υ 0 = 15 / a = 0,2 /2. ? t ? ?
7. 20 , , 104 . , 1 /?
8. 0,5 m = 50 F = 100 . e . t n = 100 /? . .
9. , 22. , 7 /, 0,2.
10. 100 , , 10/. 60 . , ? , - .
19
1. 5 , 9 . ?
2. an , , aτ , φ = 30˚ ?
3. 40 . , ?
4. 3 S = 0,4t2+0,1t . t=1 , .
5. 5 6 /. , 7 , ?
6. , α = 45˚. s t s = Ct2, = 1,73 /2. .
7. m 1 = 5 m 2 = 100 . E 2 = 7,5 . E 1 ?
8. R = 0,2 m = 5 , . ω t ω = A + Bt, = 8 /2. F, . .
9. , 15 . 2 , ?
10. 0,2, 0,12, , 0,5. 1 . . .
20
1. 3 /, 2 /. ?
2. , φ = A+Bt+Ct2+Dt3, = 1 /, = =1 /2 D = 1 /3. R , , , , n = 3,46∙102 /2.
3. 3 . , , : 1) 20 ; 2) 20 .
4. , , , 180 /. , , , 8 , 2,8 /.
5. 1 15º . 0,05, , 2,5 /, 6 .
6. l =2 , 100 , φ=30, f =0,1 =1 /2.
7. , , 500 /c. . , , 100 . ?
8. . , , , 2 4 . 0,05 /2. , 6 . .
9. n = 900 /. , , N = 75 . A = 44,4 . J M.
10. m=0,5 2/. 3. 100 . ? 0,5.
21
1. , , 1 40 28 /. , .
2. x=At+Bt2, A =4 /, = 0,05 /2. , v . . , , .
3. v 0==20 /. h=15? v . . g=10 /2.
4. r = 10 , , =0,5 /2. a , .
5. , , 20 , , l 2,94 /.
6. , α = 25˚. s t s = Ct2, = 4 /2. k .
7. , , , , . 4,2 , 300 . 460 /. .
8. 0,5 m = 50 F = 100 . e . t n = 100 /? . .
9. , 15. , 7 /, 0,3.
10. 100 , , 10/. 60 . , ? , - .
22
1. v 1=30 /, v 2=55 /. .
2