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--:22/03/2013:1
––:، ،.:
**********************************************************************************
●‫ا‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬:
-، ‫ا‬ ‫د‬ ‫ا‬ ‫ط‬ ‫ا‬ ‫و‬ ‫ا‬ ‫أ‬ ‫ا‬ ‫ت‬ ‫إذا‬ ، ‫أ‬ ‫ل‬
‫ـ‬ ‫آ‬ ‫ة‬ ‫ﺥ‬ ‫ا‬ ‫ه‬ ‫ا‬ ‫و‬EP‫ل‬ ‫ا‬ ‫و‬ ‫و‬)J. (
-‫ه‬ ‫راﺱ‬ ‫ا‬ ‫ل‬ ‫ن‬ ‫ﺱ‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫أه‬:
‫ا‬)+‫ض‬ ‫أر‬: (
-‫ا‬)+‫أرض‬(‫ا‬ ‫إذا‬‫رض‬ ‫ا‬ ‫و‬ ‫ا‬.
-‫ا‬)+‫أرض‬(‫ـ‬ ‫آ‬EPP.
‫ا‬)+(
-
:
04
‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬
‫ا‬:‫ﺕ‬ ‫م‬
‫ر‬ ‫ﺕ‬ ، ‫ت‬ ‫ر‬
‫ا‬-1:
h1
h2
h1 ≠≠≠≠ h2←←←←‫ا‬)‫ﺝ‬+‫أرض‬(‫ه‬ ‫ﺕ‬.
‫ا‬-2:
ℓ1
ℓ2 = ℓ1 + ∆ℓ
ℓ1 ≠ ℓ2←←←←‫ا‬)‫ﺝ‬+‫ﻥ‬(‫ﺕ‬‫ه‬
www.sites.google.com/site/faresfergani
‫ر‬:22/03/2013
--:22/03/2013:2
––:، ،.:
-‫ا‬)+(‫ا‬ ‫ل‬)‫ط‬ ‫ا‬ ‫أو‬ ‫اﺱ‬. (
-‫ا‬)+(‫آ‬‫ـ‬ ‫و‬EPe.
‫ا‬)+‫ﺱ‬(
-‫ا‬)+‫ﺱ‬(‫او‬ ‫ا‬θ.
-‫ا‬)+‫ﺱ‬(‫آ‬θ‫ـ‬EPe.
:
-‫د‬ ‫ا‬ ‫ا‬ ‫ا‬‫س‬ ، ‫ي‬ ‫ار‬ ‫آ‬ ، ‫ار‬ ‫ه‬
‫و‬ ‫ا‬ ‫ا‬.‫ا‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫أن‬.
-‫ا‬ ‫ب‬ ‫ازن‬ ‫ا‬ ‫وﺽ‬ ‫دة‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫و‬ ‫و‬ ‫ا‬ ‫ا‬‫ا‬
‫و‬ ‫ا‬)x = 0(‫ا‬ ‫ا‬ ‫ا‬ ‫و‬)θ = 0. (
●‫ا‬ ‫ا‬ ‫ا‬:
‫ن‬)S(‫ع‬ ‫ار‬z‫ا‬ ‫ن‬ ‫ي‬)S+‫أرض‬(‫آ‬
:
Epp = m.g.z
‫ا‬-3:
B(θ2)
A(θ1)
‫ازن‬ ‫ا‬ ‫و‬θ = 0
θ2≠≠≠≠θ1←←←←‫ا‬)‫ﺝ‬+‫ﺱ‬(‫ه‬ ‫ﺕ‬.
‫ا‬-4:z
A
B
Az
Mz
h
0=E,0=z PP
M
--:22/03/2013:3
––:، ،.:
●‫ا‬ ‫ا‬‫وﻥ‬ ‫ا‬:
-‫و‬ ‫ن‬K‫ار‬ ‫أو‬x‫ة‬ ‫ا‬ ‫ا‬ ،T‫ﺵ‬
:
T = K x
-‫ار‬ ‫أو‬ ‫ا‬x‫ا‬ ‫ن‬)+(‫و‬ ‫آ‬
:
2
pe K x
2
1
=E
-‫ا‬ ‫و‬ ‫ر‬k‫ـ‬N/m
:
‫ا‬ ‫رج‬ ‫ﺥ‬ ‫ا‬ ‫ن‬ ‫و‬ ‫ا‬ ‫ن‬ ‫ا‬ ‫داﺥ‬ ‫ن‬ ‫ا‬ ‫ة‬
‫ا‬ ‫ا‬ ‫ر‬ ‫ن‬ ‫أ‬ ، ‫ن‬)‫ا‬-12. (
‫ا‬-12:
T
T
‫ازن‬ ‫ا‬
‫اﺱ‬ ‫ا‬
‫ط‬ ‫ا‬ ‫ا‬
‫ا‬-6:
‫و‬
‫ازن‬ ‫ا‬0
x1)S(
x2‫اا‬)A(x = x1
)S(
‫ا‬)B(x = x2
)S(
x
--:22/03/2013:4
––:، ،.:
●‫ا‬ ‫ا‬ ‫ا‬:)‫ﺽ‬ ‫ا‬ ‫ص‬ ‫ﺥ‬(
-‫اس‬C‫ار‬θ‫دو‬ ‫ا‬ ‫ا‬ ،M
:
M = C θ
-‫ار‬ ‫اس‬θ‫ن‬‫ا‬)+‫ﺱ‬(‫آ‬:
2
pe θC
2
1
=E
-‫ا‬ ‫ر‬C‫ـ‬N.m/rad.
‫و‬ ‫ا‬ ‫ه‬.‫ا‬ ‫ان‬ ‫ا‬ ‫ذو‬ ‫ذ‬ ‫ﺱ‬ ‫ا‬ ‫أدﺥ‬:
www.sites.google.com/site/faresfergani
**‫ذ‬ ‫ﺱ‬ ‫ا‬:‫رس‬**
‫ﺱ‬ ‫ﺱ‬ ‫د‬
‫وب‬ ‫ا‬-
Fares_Fergani@yahoo.Fr
Tel : 0771998109
‫و‬ ‫ر‬ ‫ا‬ ‫أو‬ ‫روس‬ ‫ا‬ ‫ﺥ‬ ‫ي‬ ‫و‬ ‫ا‬ ‫ا‬ ‫إ‬.
‫ا‬ ‫وﺵ‬
‫ا‬-3:
B(θ2)
A(θ1)
‫ازن‬ ‫ا‬ ‫و‬θ = 0

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  • 1. --:22/03/2013:1 ––:، ،.: ********************************************************************************** ●‫ا‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬: -، ‫ا‬ ‫د‬ ‫ا‬ ‫ط‬ ‫ا‬ ‫و‬ ‫ا‬ ‫أ‬ ‫ا‬ ‫ت‬ ‫إذا‬ ، ‫أ‬ ‫ل‬ ‫ـ‬ ‫آ‬ ‫ة‬ ‫ﺥ‬ ‫ا‬ ‫ه‬ ‫ا‬ ‫و‬EP‫ل‬ ‫ا‬ ‫و‬ ‫و‬)J. ( -‫ه‬ ‫راﺱ‬ ‫ا‬ ‫ل‬ ‫ن‬ ‫ﺱ‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫أه‬: ‫ا‬)+‫ض‬ ‫أر‬: ( -‫ا‬)+‫أرض‬(‫ا‬ ‫إذا‬‫رض‬ ‫ا‬ ‫و‬ ‫ا‬. -‫ا‬)+‫أرض‬(‫ـ‬ ‫آ‬EPP. ‫ا‬)+( - : 04 ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬ ‫ا‬:‫ﺕ‬ ‫م‬ ‫ر‬ ‫ﺕ‬ ، ‫ت‬ ‫ر‬ ‫ا‬-1: h1 h2 h1 ≠≠≠≠ h2←←←←‫ا‬)‫ﺝ‬+‫أرض‬(‫ه‬ ‫ﺕ‬. ‫ا‬-2: ℓ1 ℓ2 = ℓ1 + ∆ℓ ℓ1 ≠ ℓ2←←←←‫ا‬)‫ﺝ‬+‫ﻥ‬(‫ﺕ‬‫ه‬ www.sites.google.com/site/faresfergani ‫ر‬:22/03/2013
  • 2. --:22/03/2013:2 ––:، ،.: -‫ا‬)+(‫ا‬ ‫ل‬)‫ط‬ ‫ا‬ ‫أو‬ ‫اﺱ‬. ( -‫ا‬)+(‫آ‬‫ـ‬ ‫و‬EPe. ‫ا‬)+‫ﺱ‬( -‫ا‬)+‫ﺱ‬(‫او‬ ‫ا‬θ. -‫ا‬)+‫ﺱ‬(‫آ‬θ‫ـ‬EPe. : -‫د‬ ‫ا‬ ‫ا‬ ‫ا‬‫س‬ ، ‫ي‬ ‫ار‬ ‫آ‬ ، ‫ار‬ ‫ه‬ ‫و‬ ‫ا‬ ‫ا‬.‫ا‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫أن‬. -‫ا‬ ‫ب‬ ‫ازن‬ ‫ا‬ ‫وﺽ‬ ‫دة‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫و‬ ‫و‬ ‫ا‬ ‫ا‬‫ا‬ ‫و‬ ‫ا‬)x = 0(‫ا‬ ‫ا‬ ‫ا‬ ‫و‬)θ = 0. ( ●‫ا‬ ‫ا‬ ‫ا‬: ‫ن‬)S(‫ع‬ ‫ار‬z‫ا‬ ‫ن‬ ‫ي‬)S+‫أرض‬(‫آ‬ : Epp = m.g.z ‫ا‬-3: B(θ2) A(θ1) ‫ازن‬ ‫ا‬ ‫و‬θ = 0 θ2≠≠≠≠θ1←←←←‫ا‬)‫ﺝ‬+‫ﺱ‬(‫ه‬ ‫ﺕ‬. ‫ا‬-4:z A B Az Mz h 0=E,0=z PP M
  • 3. --:22/03/2013:3 ––:، ،.: ●‫ا‬ ‫ا‬‫وﻥ‬ ‫ا‬: -‫و‬ ‫ن‬K‫ار‬ ‫أو‬x‫ة‬ ‫ا‬ ‫ا‬ ،T‫ﺵ‬ : T = K x -‫ار‬ ‫أو‬ ‫ا‬x‫ا‬ ‫ن‬)+(‫و‬ ‫آ‬ : 2 pe K x 2 1 =E -‫ا‬ ‫و‬ ‫ر‬k‫ـ‬N/m : ‫ا‬ ‫رج‬ ‫ﺥ‬ ‫ا‬ ‫ن‬ ‫و‬ ‫ا‬ ‫ن‬ ‫ا‬ ‫داﺥ‬ ‫ن‬ ‫ا‬ ‫ة‬ ‫ا‬ ‫ا‬ ‫ر‬ ‫ن‬ ‫أ‬ ، ‫ن‬)‫ا‬-12. ( ‫ا‬-12: T T ‫ازن‬ ‫ا‬ ‫اﺱ‬ ‫ا‬ ‫ط‬ ‫ا‬ ‫ا‬ ‫ا‬-6: ‫و‬ ‫ازن‬ ‫ا‬0 x1)S( x2‫اا‬)A(x = x1 )S( ‫ا‬)B(x = x2 )S( x
  • 4. --:22/03/2013:4 ––:، ،.: ●‫ا‬ ‫ا‬ ‫ا‬:)‫ﺽ‬ ‫ا‬ ‫ص‬ ‫ﺥ‬( -‫اس‬C‫ار‬θ‫دو‬ ‫ا‬ ‫ا‬ ،M : M = C θ -‫ار‬ ‫اس‬θ‫ن‬‫ا‬)+‫ﺱ‬(‫آ‬: 2 pe θC 2 1 =E -‫ا‬ ‫ر‬C‫ـ‬N.m/rad. ‫و‬ ‫ا‬ ‫ه‬.‫ا‬ ‫ان‬ ‫ا‬ ‫ذو‬ ‫ذ‬ ‫ﺱ‬ ‫ا‬ ‫أدﺥ‬: www.sites.google.com/site/faresfergani **‫ذ‬ ‫ﺱ‬ ‫ا‬:‫رس‬** ‫ﺱ‬ ‫ﺱ‬ ‫د‬ ‫وب‬ ‫ا‬- Fares_Fergani@yahoo.Fr Tel : 0771998109 ‫و‬ ‫ر‬ ‫ا‬ ‫أو‬ ‫روس‬ ‫ا‬ ‫ﺥ‬ ‫ي‬ ‫و‬ ‫ا‬ ‫ا‬ ‫إ‬. ‫ا‬ ‫وﺵ‬ ‫ا‬-3: B(θ2) A(θ1) ‫ازن‬ ‫ا‬ ‫و‬θ = 0