Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod YJDMAHA^AL ^OAB ZL F@^@GA ^DA [AHZL =91; YAGJ[ ; 1.
Yjdmahasal3
D 4 DBM + DB[ + DBK D 4 1:9 e + =9 e + > e 4 15> e K Cawamal3
=.
Yjdmahasal3 199 d 9
89 d
:>
69 d ;9 d
;9 d
199 d
ℌ 4
169 169= + 1=9= 4
K`mahas objh Cohal Aghdak`l, ^.Yk
69 d
=:699 + 1;;99 4
;9999 4 =99
Cawamal3 A
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod >.
Yjdmahasal3
Ejrag yale pjrtada akabah EBM kjleal v 4 6 d/s sjbada ; sjgol cak` eraf`glya djlkatar. Ejrag yale gjkua akabah EBMM k`pjrbadmat kjleal gjnjpatal agh`r v 4 v 9 „ a t 4 6 „ 6 „ 1 1 . ; 4 = d/s cak` eraf`g turul gj v 4 = d/s. Eraf`g yale djlulcuggal pjrcabalal `tu akabah p`b`hal A Cawamal3 A
;.
Yjdmahasal3
π 4 = ω f 4 = ω . 099/69 Hz 4 >9 ω rak/s v 4 π . r 4 >9 ω rak/s . 9,= d 4 6 d/s Cawamal3 J
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod :.
Yjdmahasal3
B`ft yale mjrejrag la`g mjrbagu3 L „ L „ w w 4 d . a, daga3 = = 66 ge . 19 d/s „ 69 69 ge . 19 d/s 4 69 ge . a 669 L „ L „ 699 699 L 4 69 ge . a 69 L 4 69 ge . a a 4 1 d/s= Cawamal3 J
6.
Yjdmahasal3
Kar` hugud @@ Ljwtol rotas`3
ϋ4@.α
F.]4@.α F 4 α . ν . ] -1 K Cawamal3
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod
Yjdmahasal3
P (nd) ;7:
;7>
;71
X (nd)
A1 4 6 . 8 4 ;8 A= 4 ; . = 4 8 (buas bumale mawah) A> 4 ; . = 4 8 (buas bumale atas) a. [`t`g mjrat paka sudmu x3 x1 A1 „ x x= A= „ x x> A> x4 A1 „ A A= „ A A> ; . ;8 „ ;8 „ ; ; . 8 „ 8 „ ; ; . 8 10= „ 10= „ 6; 6; 1=8 x4 4 4 4; ;8 „ ;8 „ 8 „ 8 „ 8 8 >= >= x4; m. [`t`g mjrat paka sudmu y3 y1 A1 „ y y= A= „ y y> A> y4 A1 „ A A= „ A A> y4
> . ;8 „ ;8 „ 1 1 . 8 „ 8 „ : : . 8
4
06
4 > ;8 „ ;8 „ 8 „ 8 „ 8 8 >= Cak` goork`lat t`t`g mjrat3 (; 7 >) K Cawamal3
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod
Yjdmahasal3
ϋ 4 F1 . B1 + F= . B= s`l :> 9 + F> . B> ϋ 4 =9 L . 9,1 d + 1: L . 9,= d . 9,8 + 1= L . 9,> d ϋ 4 = Ld + =,; Ld + >,6 Ld 4 8,9 Ld Cawamal3 J
Yjdmahasal3
a.
m.
[jrbjm`h kahubu gjt`lee`al s`b`lkjr kjleal djleeulagal hugud gjgjgabal jljre` djgal`g rotas`. deh1 + ´ dv1= + ´ @ π1= 4 deh = + ´ dv== + ´ @ π== deh1 + ´ dv1= + ´ dr = (v1/r)= 4 deh= + ´ dv == + ´ dr = (v=/r)= eh1 + ´ v1= + ´ v1= 4 eh= + ´ v== + ´ v== eh1 + v1= 4 eh= + v== 19 . 9 + 19 = 4 19 . h = + 9= 199 4 19 h = h= 4 19 d Djleh`tule s. s h 4 19 d α tal α 4 9,5: ↝ s`l α 4 9,6 h= / s 4 9,6 ↝ s 4 h = / 9,6 s 4 19 d / 9,6 4 16,65 d 4 15 d A Cawamal3
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod
Yjdmahasal 3
Yjeas tjtap mjrs`fat jbast`s c`ga eraf`g b`ljar. Cawamal3 A
Yjdmahasal3
JY1 + JG 1 4 JY= + JG = deh1 + ´ dv 1= 4 deh = + JG = = . 19 . =,; + ´ . = . 9 = 4 = . 19 . 1,= + JG = ;8 + 9 4 =; + JG = JG = 4 ;8 „ ;8 „ =; =; 4 =; coubj J Cawamal3
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod Yjdmahasal3
@ 4 dv= „ dv dv1 @ 4 9,9= ge . = d/s „ d/s „ 9,9= 9,9= ge ( „ ; ; d/s) @ 4 9,9; Ls + 9,98 Ls 4 9,1= Ls M Cawamal3
Yjdmahasal3
Zltug djlejtahu` l`ba` paltubal pjrtada h 1, eulagal pjrsadaal gojf`s`jl rjst`tus`3 :9 nd h= 4
1=: nd
:9 nd
H= 4 :9 nd . :9 nd / 1=: nd 4 =9 nd M Cawamal3
Yjdmahasal3
ρ1 . h1 4 ρ= . h=
ρ
1999 . 6 4 . 19 4 699 / >
K`mahas objh Cohal Aghdak`l, ^.Yk
N Cawamal3
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod Yjdmahasal3
a.
m.
[jrbjm`h kahubu h`tule gjnjpatal a`r paka p`pa mae`al atas kjleal djleeulagal pjrs. Golt`lu`tas. A1 . v1 4 A= . v= v= 4 (A1 . v1) / A= v= 4 (1;;ω nd = . 1 d/s) / >6ω > 6ω nd= 4 ; d/s Djleh`tule Y = kjleal djleeulagal asas Mjrloubb`. Y1 + ρeh1 + ´ ρ v1= 4 Y= + ρeh= + ´ ρ v== 1=9.999 + ρe. 9 + ´ 1999 . 1 = 4 Y= + 1999 . 19 . = + ´ 1999 . ; = 1=9.999 + :99 4 Y = + =9.999 + 8999 1=9.:99 4 Y = + =8.999 Y= 4 1=9.:99 „ 1=9.:99 „ =8.999 =8.999 4 0=:99 Ya Y= 4 0=,: Gpa K Cawamal3
Yjdmahasal3
ΛB 4 B9 . α . Λ[ =,88 . 19 -= 4 9,1= d . ; . 19 -> /oN (119oN „ [) [) o -= -> 119 N „ [ [ 4 (=,88 . 19 ) / (9,;8 . 19 ) o 119 N „ [ [ 4 69 oN [ 4 119 „ 119 „ 69 69 4 :9 oN Cawamal3 N
Cawam3 eulagal asas mbang Gabor sjrap 4 gabor bjpas ds . ns . Λ[s 4 dB . nB . Λ[B >99 . 1 . (;9 „ (;9 „ 19) 19) 4 d B . 1 . (199 „ (199 „ ;9) ;9) 0999 4 d B . 69 DB 4 1:9 erad K Cawamal3
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod
Yjdmahasal3 Y1 V1 Y= V= 4 [1 [=
Y1 V
4
Y= .
> ;
V
= [ Y1 > > 4 4 Y= =.; 8 [
K Cawamal3
Yjdmahasal3
a.
m.
[jrbjm`h kahubu h`tule [ =. [= J 4 1 „ 1 „ [1 [= 9,= 4 1 „ 1 „ 6;9 G [= 4 1 „ 1 „ 9,= 9,= 4 9,8 6;9 G [= 4 9,8 . 6;9 G 4 :1= G Djleh`tule [ 1 (J 4 >6 % 4 9,>6). [= J 4 1 „ 1 „ [1 :1= G 9,>6 4 1 „ 1 „ [1 :1= G 4 1 „ 1 „ 9,>6 9,>6 4 9,6; [1 [1 4 :1= G / 9,6; 4 899 G 4 899 „ 899 „ =5> =5> 4 :=5 oN A Cawamal3
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod
Cawamal3 A
Cawamal3 M
Yjdmahasal3
a.
[jrbjm`h kahubu h`tule s om1. 1 1 1 4 + f om som som '
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod 1 som ' 1 som '
1
4
f om
1 som
1
4
„
1,8 nd >,6 nd
^om‐ 4
m.
„
1 = nd
4
= „ 1,8 1,8 >,6 nd
4 18 nd 9,= Djleh`tule k. k 4 som, + f og og 4 18 nd + 6 nd 4 =; nd M Cawamal3
Yjdmahasal3
η.B k
4 ∆Y
∝
:99 . 19
0
. 9,8 d
4 9,91 d k k 4 ; . 19 -: d L 4 1/k 4 1 / ; . 19-: 4 =:999 /d 4 =:9 /nd N Cawamal3
Yjdmahasal3
f p 4 f p 4
v + v p
f s 4
v „ v vs >:9 d s =09 d s
>>9 d s + =9 d/s >>9 d s „ ;9 ;9 d/s
:89 Hz
:89 Hz 4 599 Hz
K`mahas objh Cohal Aghdak`l, ^.Yk
M Cawamal3
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod
Yjdmahasal3
a.
m.
[jrbjm`h kahubu h`tule [@ satu djs`l. [@199 4 [@1 + 19 boe l 89 kM 4 [@1 + 19 boe 199 89 kM 4 [@1 + 19 . = [@1 4 69 kM Djleh`tule l. [@l 4 [@1 + 19 boe l 09 kM 4 69 kM + 19 boe l 19 boe l 4 09 kM „ 69 69 kM 4 >9 kM boe l 4 > l 4 19 > 4 1.999 muah A Cawamal3
Yjdmahasal3
a.
[jrbjm`h kahubu eadmargal eaya-eaya b`str`g paka duatal Q N. FAN QA FAM 69o
69o
QN m.
QM
Djleh`tule FNA. QA QN : . 19-6 . ; . 19 -6 0 FAN 4 g 4 0 . 19 = r = (9,>)
FAN 4 = L
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod n.
Djleh`tule FMA. -6 -6 QA QM 0 : . 19 . ; . 19 FAM 4 g 4 0 . 19 = r AM = (9,>) FMA 4 = L
k.
Djleh`tule F kjleal rudus phytaeoras. F4
=
=
FAM + FAN 4
F4 ;+;4
=
=
= + =
8
Cawamal3 N
Yjdmahasal3
C`ga guat djkal b`str`g lob mjrbagu3 J= 4 J1 q= q1 g =4g = r = r 1 Q ;Q 4 = m = (a „ m) m) = 1 4 = ; (a - m) 1 4 = a „ m m = m 4 a „ a „ m m =m + m 4 a >m 4 a m 4 1/> a
A Cawamal3
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod
Yjdmahasal3
Yotjls`ab b`str`g k` kabad moba golkugtor 4 9, sjkalegal k`buar moba V 4 g . q / r. M Cawamal3
Yjdmahasal3
a.
[jrbjm`h kahubu h`tule N totab 1 1 1 1 1 1+= 4 + 4 + 4 N=> N= N> 6 > 6 N=> 4 6 / > 4 = F 1 1 1 1 1 1+= 4 + 4 + 4 N;: N; N: 1= 6 1= N;: 4 1= / > 4 ; F N=>;: 4 = N + ; N 4 6 F
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod 1
m. n. k.
4
1
+
1
4
1
+
1
4
=
Ntot N1 N=>;: 6 6 6 Ntot 4 6 / = 4 > F Djleh`tule Q Q 4 Ntot . V 4 > F . 1= V 4 >6 N Djleh`tule V N;: 4 V=>;: VN;: 4 Q / N =>;: 4 >6 N / 6 F 4 6 Vobt Djleh`tule Q N: QN: 4 N;: . VN: 4 ; F . 6 Vobt 4 =; N M Cawamal3
Yjdmahasal3
a.
m.
Aear bjm`h dukah, h`tule tjrbjm`h kahubu hadmatal totab ] 4 > Π kal ] 4 6 Π.. 1 1 1 =+1 > 4 + 4 4 ] Y > 6 6 6 ] 1= 1= 4 6 / > 4 = Π Gjduk`al htule hadmatal totab ] 4 6 ohd kal ; ohd ya`tu ] tot 4 19 Ohd Djleh`tule guat arus ` kjleal djleeulagal hugud @@ g`rnhoff. = ` + 6 + 19 ` „ ` „ 1= 1= 4 9 1= ` „ ` „ 6 6 4 9 1= ` 4 6 @ 4 6/1= 4 9,: A A Cawamal3
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod
Yjdmahasal3
Zltug djlejtahu` arah `lkugs` daeljt`g yale mjlar eulagal ga`kah taleal galal.
Cjdpob 4 arah arus kal gjjdpat car` ba`l 4 arah `lkugs` daeljt`g. N Cawamal3
Yjdmahasal3
F4 @y 4
β9 @x @y =ωa =ωa β9 @x
B
F/ B
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod
@ 4
=ω.=d -5
;ω ;ω . 19 Um/A.d . = A
= . 19 -5 L/d
@y 4 1 A (gjg`r` garjla tobag djlobag) Cawamal3 J
Cawamal3 K
Yjdmahasal3
VY
4
LY
4
`^
V^ L^ `Y Arus sjgulkjr sjmalk`le kjleal V Y kal LY. Arus sjgulkar mjrmalk`le tjrmab`g kjleal V s kal Ls. Cak` pjrlyataal yale mjlar akabah tjealeal pr`djr k`turulgal daga badpu rjkup. N Cawamal3
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod
Yjdmahasal3
a.
m.
[jrbjm`h kahubu h`tule X B kal XN. XB 4 π . B 4 1999 19 99 rak/s . 9,0 H 4 099 0 99 Π XN 4 1 / (π . N) 4 1 / (1999 rak/s . = . 19-6 F) XN 4 196 / =.999 =.999 Π 4 :99 Π Djleh`tule ]. S4
] ] = + XB „ X XN
:99 Π 4
=
=
=
] ] + 099 „ 099 „ :99 =
=
=
(:99 Π) 4 ] + (;99 Π) =:9999 Π= 4 ] = + 169999 169999 Π= ] = 4 =:9999 Π= „ 169999 169999 Π= 4 09.999 09.999 Π=
] 4 09.999 09.999 Π= 4 >99 Π K Cawamal3
Cawamal3 K
K`mahas objh Cohal Aghdak`l, ^.Yk
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod
Cawamal3 J
Cawam3 b 4 b9
1 „
v= n=
56 d 4 0: d
1 „
1 „
1 „
v= n=
v=
56 d 4 4 9,8 n= 0: d
v= n=
=
4 9,8 4 9,6;
v=
4 1 „ 9,6; 9,6; 4 9,>6 n= v 4 9,>6 9,>6 4 9,6 n n
K`mahas objh Cohal Aghdak`l, ^.Yk
Cawamal3 N
Kowlboak gulcule` http3//f`s`gaultugul.mboespo http3//f `s`gaultugul.mboespot.nod t.nod
Yjdmahasal3
J 4 W(d 6N1> + d 1H=) „ (d (d 6N16+ d 1H1)T 0>1 DjV J 4 W(1>,99>> + =,91;1) „ =,91;1) „ (1;,99>9 (1;,99>9 + 1,9958)T 0>1 DjV J 4 W1:,915; „ W1:,915; „ 1:,9198T 1:,9198T 0>1 DjV J 4 6,1;;6 DjV M Cawamal3
Cawamal3 M
K`mahas objh Cohal Aghdak`l, ^.Yk