3ο θέμα γενικών εξετάσεων
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2008
LC = 410-3 s. t = 0, o . C = 10 F , , 210-3 .
. L .
. .
. .
. , , .
: 1F =10- 6 F, = 3,14 2006
k = 900 N/m, . = (/15) s. t = 0 = 6 m/s . :
. .
. .
. 0 (2/15) s.
. = 3U, U .
2003
2.10-5 F, 0,05 H . 5.10-7 C. .
t = 0 . :
.
.
. C 3.10-7 C.
: = 3,14 .
2009
, . :
x1= At x2= A(t + )
= 4 cm = 10 rad/s.
. .
. .
. t = /15 s t = 0.
. t = /120 s.
2007
m1=1,44 kg, . m2 . 0,4 m/s 0,5 s. , 2,5 r/s. : . .
. .
. .
. .
2008
210-6 F 50 V. t = 0 210-2 H .
. .
. .
. , i = 0,1 A. : = 3,14.
2009
LC , i t :i = - 0,5.104t (S.I.)
L = 10-2 H. :
. .
. .
. Q .
. , q = 3.10-5 C.
2010
: = 5 V , C = 8.10-6 F, L = 2.10-2 H. 1 2 .
. Q .
1 t = 0 2. LC .
. .
. .
. .
2010
1 m1 = 1 kg = 30. 1 = 100 /m , . 1 d1 = 0,1m .
. 1 .
. 1.
1 = 0,3m. 2 m2 = 1kg , 1, .
. 2 .
. . : 30 = 1/2, g = 10m/s2
2003
0,08 m 2 m xx. x = 0 t = 0 . 100 m/s .
. .
. S.I.
. 0,002 kg. ( ).
. , , x = 0. 11 x = 0. : 2 = 10
2004
1 2 u = 0,5 m/s. () = r1 () = r2 r1 > r2. . t :
( S.I.)
:
. , .
. .
. r1 r2 .
. .
2006
= 13,5 m . , , , . . 30 . , , 9 s. /5 m/s. .
. .
. , 21 , .
. , .
. .
2003
t0 = 0 s = 0,05 m. , x. t1 = 0,3 s, 3 m.
. .
. T .
. .
. t2 = t1 + T/4.
2004
2 (61010 t 2102 x) SI.
. .
. 2,5 mm. .
. . 60 [2 (61010 t 2102 x)]
(1)
2107 [2 (61010 t 2102 x)] (2)
SI. (1), (2) .
c = 3108 m/s. 2005
, , . . 50 s . 10 cm , 1 m, 5 s 10 . :
. .
. .
. .
. .
2008
To , x, t = 0, y = A (y cm, t s) , , . .
. .
. .
. .
. m = 810-3 kg. : 2 10 2003
, :
y = 0,4 10x.40t (SI)
. , .
. .
2004
t = 0 , y = At. , . 10m. , .
. :
1. .
2. .
3. .
. .
2005
c = 3108 m/s
= 910-3 2 (108 t ) (S.I.)
. :
1. max .
2. .
3. .
. LC L = (1/502) H. C ;
2007
x, , , :
y = 0,05 2 (2t 5x) (S.I.)
:
. .
. .
. x 5/2 rad .
. , t = 1,5 s x (x = 0) 0,3 m. : = 3,14 2 10.
2002
, t = 0, y = 0,058t (SI) . xx, , 20 m/s.
. .
. .
. .
. .
2004
L x. x = L, x = 0 , 5 . x = 0 . t = 0 x = 0 . 0,1 m. 10 x 0,1 m .
. .
. L.
. .
. x = 0 y = +0,03 m. = 3,14 2007
,
x, y cm t s.
:
. , .
. .
. t = 0,1 s 3 cm x = 0.
. x = 3 cm x = 9 cm.
2005
. . 1 :
y1 = A 30t (SI)
2, 6 cm 1, :y2 = A(30t + /6) (S.I.)
1 2 .
. ;
. ;
. , .
. , .
, , , , , ( ); , ;
. , . = 3,14 .
2009
xx :y = 0,4 2(2t 0,5x) (S.I.)
:
. .
. .
. , 1,5 m.
. t1 = 11/8 s , .
2009
xx :
y = 0,1x10t (SI).
x = 0 , t = 0 .
. f .
. t1 = 1/40 s xK = 1/4 m.. x = 10,25 m xN = 14,75 m .: (/4) = (/4) =
2010
:
y = 0,2 2(t - 2x) (S..)
:
. . . .
. .
. 4 rad. 2 10
2011
, 1 2, . to = 0 , . , 12, SI :
yM = 0,2 2(5t - 10)
= 2 m/s. 12 d = 1m .
:
1. 1.
2. .
3. 12 .
4. t .
2011
, x, to = 0 , . t = 1 s.
1. .
2. .
3. .
4. x =1 m, .
2005
- m = 0,12 kg R = 1,510 -2 m. . t = 0 . xx, . . = 20R, cm = 2 m/s.
. . ( , ).
. , .
. cm = 2 m/s, .
0,8s .
. t = 0, 0,8 s .
g = 10m/s2
2007
( = 1 m = 6 kg F , . .
. . :
. F, 30 J.
. .
. . :
2002
, = 3 Kg R = 0,2 m, . t = 0 F 3 , . t1 K = 75 J.
:
.
.
. t1
. , .
, , .
2006
m = 40 kg R = 20 cm = 5 rad/s . :
. .
. .
. ( ) 5 s.
. 5 s.
. 2008
L = 4 m M = 2 kg . . , , .
m = 2,5 kg r = 0,2 m.
AK = L/4, = 3 L/4
. .
t = 0 , F = 7 N, . . . .
. .
. .
: m g = 10 m/s2.
2010
R = 0,2 m m = 1 Kg , . cm = 10 m/s. cm= mR2 . A . . :. , . . .
. .
. .
2010
= 2 Kg R = 0,5 m . . to = 0, F = 10 N, .
1. F to = 0 = 8 rad/s.
2. .
3. F .
= 8 rad/s, F . m = 1 Kg , .
4. .
= R2.
Doppler 2006
1 2, , m1 = 1 kg m2 = 3 kg . 1 k = 100 N/m. , . 0,2 m, . 2 o .
1 2. ,
. 1 2.
. 1 2, .
. 1, , .
. 1 2 1 .
1 , k.
= 3,14
2011
1 m1 =1 kg 1 =10 m/s xx, .
1 2 m2 =3 kg 1.. 1 . :
1. 1 . 2. 2 . 3. . 4. 1, .
2011
S1 S2, .
S2 , S1 f1 = 100 Hz.
1. , fA = 100,5 Hz.
S2, f2 = 100 Hz.
2. t1 .
S2 f2= 100,5 Hz, .
3. t2 .
4. .
. : = 340 m/s.
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