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--:22/03/2013:1
––:، ،.:
**********************************************************************************
●‫و‬ ‫ل‬:
-‫إ‬ ‫ا‬ ‫إذا‬ ‫أ‬ ‫ة‬ ‫ل‬.
-‫ة‬F‫ل‬ ‫ا‬ ‫ء‬ ‫أ‬A‫إ‬B‫ـ‬ ‫ی‬ ‫ي‬ ‫ا‬)F(WAB‫ار‬ ‫ه‬ ‫ل‬ ‫ا‬ ‫وو‬
‫ة‬ ‫ا‬ ‫آ‬ ‫إذا‬ ‫ﺝ‬ ‫ن‬ ‫ی‬ ‫ي‬ ‫ﺝ‬F‫ل‬ ‫ی‬ ‫و‬ ‫آ‬ ‫ا‬ ‫ﺝ‬‫ك‬‫ة‬ ‫ا‬ ‫آ‬ ‫إذا‬ ‫ن‬ ‫ی‬F
‫ا‬ ‫ه‬ ‫ل‬ ‫ی‬ ‫و‬ ‫آ‬ ‫ا‬ ‫آ‬‫وم‬.
-‫ة‬F‫ر‬ ‫و‬AB‫ة‬ ‫ا‬ ‫ع‬ ‫ا‬ ‫اء‬ ‫ا‬ ‫ه‬F‫ع‬ ‫و‬
‫ل‬ ‫ا‬AB‫أي‬:
WAB(F) = F. AB
‫ا‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ه‬ ‫و‬:
WAB(F) = F AB cosα
α‫ع‬ ‫ا‬ ‫ی‬ ‫ا‬ ‫اوی‬ ‫ا‬ ‫ه‬AB‫ة‬ ‫ا‬ ‫ع‬F)‫ا‬-6. (
-‫ا‬ ‫ر‬AB)m(‫ة‬ ‫ا‬ ‫ة‬ ‫و‬F)N(‫ا‬ ‫و‬W‫ل‬)J. (
-
:
02
‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬
‫ا‬:‫م‬
‫ر‬ ، ‫ت‬ ‫ر‬
‫ا‬-6:
A B
α
F
www.sites.google.com/site/faresfergani
‫ر‬:22/03/2013
--:22/03/2013:2
––:، ،.:
‫ﺹ‬ ‫ت‬:
*‫ة‬ ‫ا‬F‫آ‬ ‫ا‬ ‫ﺝ‬ ‫أ‬)‫ا‬-7: (
-‫ن‬ ‫ی‬ ‫ا‬ ‫ه‬:α = 0 → cos α = 1.‫ی‬ ‫آ‬ ‫ا‬ ‫رة‬ ‫و‬:
WAB(F) = F AB
*‫ة‬ ‫ا‬F‫آ‬ ‫ا‬ ‫ر‬ ‫دی‬)‫ا‬-8: (
-‫ن‬ ‫ی‬ ‫ا‬ ‫ه‬:→ cos α = 0
2
π
=α.‫ی‬ ‫آ‬ ‫ا‬ ‫رة‬ ‫و‬:
WAB(F) = 0
-‫ه‬ ‫ة‬ ‫ا‬ ‫ل‬‫أ‬ ‫ا‬.
*‫ة‬ ‫ا‬F‫آ‬ ‫ا‬ ‫آ‬ ‫و‬ ‫أ‬)‫ا‬-9: (
-‫ن‬ ‫ی‬ ‫ا‬ ‫ه‬:→ cos α = -1π=α.‫ی‬ ‫آ‬ ‫ا‬ ‫رة‬ ‫و‬:
WAB(F) = - F AB
‫ا‬-7:
A Bα = 0
F
‫ا‬-8:
A B
α =
2
π
F
‫ا‬-9:
A Bα = ππππ
F
--:22/03/2013:3
––:، ،.:
‫ﺡ‬:
‫ة‬F‫ل‬ ‫ا‬ ‫ء‬ ‫أ‬A‫ا‬ ‫إ‬An‫ى‬ ‫أ‬ ‫ا‬ ‫ورا‬A1،A2،.....‫ع‬ ‫وي‬
‫ل‬ ‫ا‬‫أي‬ ‫ت‬ ‫ا‬:
)F(W+......+)F(W+)F(W+)F(W=)F(W nA1-nA4A3A3A2A2A1AnA1A
●●●●‫ل‬ ‫א‬ ‫ل‬:
‫ﺝ‬ ‫آ‬ ‫ی‬A‫ع‬ ‫ار‬ ‫دة‬ ‫ﺝ‬ ‫ا‬zA
‫إ‬B‫ع‬ ‫ار‬ ‫دة‬ ‫ﺝ‬ ‫ا‬zB‫ا‬ ‫ا‬ ‫ه‬ ‫ن‬
‫ع‬ ‫ار‬ ‫ق‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ة‬ ‫ی‬ ‫إ‬ ‫و‬ ، ‫آ‬ ‫ر‬ ‫ی‬
)zA – zB(‫و‬:
)z-(zm.g=)P(W BAB-A
‫أی‬ ‫و‬:
m.g.h+=)P(W B-A (‫زل‬ ‫ا‬ ، ‫ك‬ ‫ا‬ )
.g.hm-=)P(W B-A ( ‫ﺹ‬ ‫ا‬ ، ‫وم‬ ‫ا‬ )
●‫א‬ ‫א‬ ‫ط‬ ‫א‬:
-‫آ‬ ‫ذو‬ ‫ﺝ‬ ‫ی‬Mv‫آ‬ ‫ا‬ ‫ن‬Ec‫ا‬ ‫رة‬ ‫آ‬ ‫ل‬ ‫رة‬
:
2
mv
2
1
=Ec
‫ﺡ‬-1:
‫م‬ ‫أﺝ‬ ‫ة‬ ‫ن‬ ‫آ‬ ‫ا‬ ‫ا‬)S1(،)S2..... (‫أي‬ ‫م‬ ‫ﺝ‬ ‫ا‬ ‫آ‬ ‫ا‬ ‫ت‬ ‫ا‬ ‫ع‬ ‫وی‬:
EC = EC(S1) + EC(S2) + ........
‫ﺡ‬-2:
‫ه‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫آ‬ ‫إذا‬E1‫ث‬ ‫و‬W
)‫رﺝ‬ ‫ا‬ ‫ى‬ ‫ا‬ ‫ع‬(‫ا‬E2‫آ‬ ‫ی‬‫ظ‬ ‫ا‬ ‫د‬
‫ی‬ ‫آ‬ ‫ا‬:
E1 + Wm = E2
‫أن‬ ‫و‬:∑ )FW(=W extm‫ا‬ ‫ا‬ ‫ظ‬ ‫ا‬ ‫د‬ ‫آ‬ ‫ی‬
‫ا‬-12:
‫ا‬-13:
--:22/03/2013:4
––:، ،.:
‫ی‬ ‫آ‬ ‫ا‬:
2ext1 E=)FW(+E ∑
‫ﺡ‬-3:)‫آ‬‫رﺝ‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫ى‬ ‫ا‬ ‫م‬(
‫ن‬ ‫و‬ ، ‫ا‬ ‫ه‬ ‫إ‬ ‫ن‬ ‫ی‬ ‫ة‬ ‫ا‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫ن‬ ‫آ‬ ‫إذا‬ ‫دا‬ ‫ة‬ ‫ا‬ ‫ن‬ ‫ﺝ‬
‫ا‬ ‫ی‬ ‫ه‬ ‫أ‬ ‫ن‬ ‫آ‬ ‫إذا‬ ‫رﺝ‬ ‫ة‬)‫ا‬ ‫و‬ ‫ا‬(‫ه‬ ‫آ‬ ‫أو‬ ‫رﺝ‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫إ‬ ‫ی‬
‫ة‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫رج‬.
‫ل‬:
‫ا‬ ‫ی‬ ‫ا‬ ‫ا‬)S(‫ا‬ ‫ة‬ ‫و‬ ‫ا‬ ‫إ‬)P(‫ا‬
)‫ب‬ ‫ﺝ‬(‫رض‬ ‫ا‬)S(‫ا‬ ‫ة‬ ‫ا‬ ‫و‬)T(‫ا‬ ‫ا‬
‫ا‬)S(‫أن‬ ‫ر‬ ‫آ‬ ‫ا‬ ‫ی‬ ،‫ذ‬ ‫و‬ ‫رﺝ‬ ‫أو‬ ‫دا‬ ‫ن‬
‫ا‬ ‫ول‬ ‫ا‬ ‫ی‬ ‫آ‬ ‫رة‬ ‫ا‬ ‫ا‬:
‫ی‬ ‫و‬ ‫ا‬ ‫ه‬.‫ا‬ ‫ان‬ ‫ا‬ ‫ذو‬ ‫ذ‬ ‫ا‬ ‫أد‬:
www.sites.google.com/site/faresfergani
**‫ذ‬ ‫ا‬:‫رس‬**
‫ی‬ ‫د‬ ‫ی‬
‫وب‬ ‫ا‬-
Fares_Fergani@yahoo.Fr
Tel : 0771998109
‫و‬ ‫ری‬ ‫ا‬ ‫أو‬ ‫روس‬ ‫ا‬ ‫ي‬ ‫و‬ ‫ا‬ ‫ی‬ ‫ا‬ ‫ی‬ ‫إ‬ ‫ﺝ‬.
‫ا‬ ‫و‬
‫ا‬-13:

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  • 1. --:22/03/2013:1 ––:، ،.: ********************************************************************************** ●‫و‬ ‫ل‬: -‫إ‬ ‫ا‬ ‫إذا‬ ‫أ‬ ‫ة‬ ‫ل‬. -‫ة‬F‫ل‬ ‫ا‬ ‫ء‬ ‫أ‬A‫إ‬B‫ـ‬ ‫ی‬ ‫ي‬ ‫ا‬)F(WAB‫ار‬ ‫ه‬ ‫ل‬ ‫ا‬ ‫وو‬ ‫ة‬ ‫ا‬ ‫آ‬ ‫إذا‬ ‫ﺝ‬ ‫ن‬ ‫ی‬ ‫ي‬ ‫ﺝ‬F‫ل‬ ‫ی‬ ‫و‬ ‫آ‬ ‫ا‬ ‫ﺝ‬‫ك‬‫ة‬ ‫ا‬ ‫آ‬ ‫إذا‬ ‫ن‬ ‫ی‬F ‫ا‬ ‫ه‬ ‫ل‬ ‫ی‬ ‫و‬ ‫آ‬ ‫ا‬ ‫آ‬‫وم‬. -‫ة‬F‫ر‬ ‫و‬AB‫ة‬ ‫ا‬ ‫ع‬ ‫ا‬ ‫اء‬ ‫ا‬ ‫ه‬F‫ع‬ ‫و‬ ‫ل‬ ‫ا‬AB‫أي‬: WAB(F) = F. AB ‫ا‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ه‬ ‫و‬: WAB(F) = F AB cosα α‫ع‬ ‫ا‬ ‫ی‬ ‫ا‬ ‫اوی‬ ‫ا‬ ‫ه‬AB‫ة‬ ‫ا‬ ‫ع‬F)‫ا‬-6. ( -‫ا‬ ‫ر‬AB)m(‫ة‬ ‫ا‬ ‫ة‬ ‫و‬F)N(‫ا‬ ‫و‬W‫ل‬)J. ( - : 02 ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻭ‬ ‫ﺍﻟﻤﻴﻜﺎﻧﻴﻚ‬ ‫ا‬:‫م‬ ‫ر‬ ، ‫ت‬ ‫ر‬ ‫ا‬-6: A B α F www.sites.google.com/site/faresfergani ‫ر‬:22/03/2013
  • 2. --:22/03/2013:2 ––:، ،.: ‫ﺹ‬ ‫ت‬: *‫ة‬ ‫ا‬F‫آ‬ ‫ا‬ ‫ﺝ‬ ‫أ‬)‫ا‬-7: ( -‫ن‬ ‫ی‬ ‫ا‬ ‫ه‬:α = 0 → cos α = 1.‫ی‬ ‫آ‬ ‫ا‬ ‫رة‬ ‫و‬: WAB(F) = F AB *‫ة‬ ‫ا‬F‫آ‬ ‫ا‬ ‫ر‬ ‫دی‬)‫ا‬-8: ( -‫ن‬ ‫ی‬ ‫ا‬ ‫ه‬:→ cos α = 0 2 π =α.‫ی‬ ‫آ‬ ‫ا‬ ‫رة‬ ‫و‬: WAB(F) = 0 -‫ه‬ ‫ة‬ ‫ا‬ ‫ل‬‫أ‬ ‫ا‬. *‫ة‬ ‫ا‬F‫آ‬ ‫ا‬ ‫آ‬ ‫و‬ ‫أ‬)‫ا‬-9: ( -‫ن‬ ‫ی‬ ‫ا‬ ‫ه‬:→ cos α = -1π=α.‫ی‬ ‫آ‬ ‫ا‬ ‫رة‬ ‫و‬: WAB(F) = - F AB ‫ا‬-7: A Bα = 0 F ‫ا‬-8: A B α = 2 π F ‫ا‬-9: A Bα = ππππ F
  • 3. --:22/03/2013:3 ––:، ،.: ‫ﺡ‬: ‫ة‬F‫ل‬ ‫ا‬ ‫ء‬ ‫أ‬A‫ا‬ ‫إ‬An‫ى‬ ‫أ‬ ‫ا‬ ‫ورا‬A1،A2،.....‫ع‬ ‫وي‬ ‫ل‬ ‫ا‬‫أي‬ ‫ت‬ ‫ا‬: )F(W+......+)F(W+)F(W+)F(W=)F(W nA1-nA4A3A3A2A2A1AnA1A ●●●●‫ل‬ ‫א‬ ‫ل‬: ‫ﺝ‬ ‫آ‬ ‫ی‬A‫ع‬ ‫ار‬ ‫دة‬ ‫ﺝ‬ ‫ا‬zA ‫إ‬B‫ع‬ ‫ار‬ ‫دة‬ ‫ﺝ‬ ‫ا‬zB‫ا‬ ‫ا‬ ‫ه‬ ‫ن‬ ‫ع‬ ‫ار‬ ‫ق‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ة‬ ‫ی‬ ‫إ‬ ‫و‬ ، ‫آ‬ ‫ر‬ ‫ی‬ )zA – zB(‫و‬: )z-(zm.g=)P(W BAB-A ‫أی‬ ‫و‬: m.g.h+=)P(W B-A (‫زل‬ ‫ا‬ ، ‫ك‬ ‫ا‬ ) .g.hm-=)P(W B-A ( ‫ﺹ‬ ‫ا‬ ، ‫وم‬ ‫ا‬ ) ●‫א‬ ‫א‬ ‫ط‬ ‫א‬: -‫آ‬ ‫ذو‬ ‫ﺝ‬ ‫ی‬Mv‫آ‬ ‫ا‬ ‫ن‬Ec‫ا‬ ‫رة‬ ‫آ‬ ‫ل‬ ‫رة‬ : 2 mv 2 1 =Ec ‫ﺡ‬-1: ‫م‬ ‫أﺝ‬ ‫ة‬ ‫ن‬ ‫آ‬ ‫ا‬ ‫ا‬)S1(،)S2..... (‫أي‬ ‫م‬ ‫ﺝ‬ ‫ا‬ ‫آ‬ ‫ا‬ ‫ت‬ ‫ا‬ ‫ع‬ ‫وی‬: EC = EC(S1) + EC(S2) + ........ ‫ﺡ‬-2: ‫ه‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫آ‬ ‫إذا‬E1‫ث‬ ‫و‬W )‫رﺝ‬ ‫ا‬ ‫ى‬ ‫ا‬ ‫ع‬(‫ا‬E2‫آ‬ ‫ی‬‫ظ‬ ‫ا‬ ‫د‬ ‫ی‬ ‫آ‬ ‫ا‬: E1 + Wm = E2 ‫أن‬ ‫و‬:∑ )FW(=W extm‫ا‬ ‫ا‬ ‫ظ‬ ‫ا‬ ‫د‬ ‫آ‬ ‫ی‬ ‫ا‬-12: ‫ا‬-13:
  • 4. --:22/03/2013:4 ––:، ،.: ‫ی‬ ‫آ‬ ‫ا‬: 2ext1 E=)FW(+E ∑ ‫ﺡ‬-3:)‫آ‬‫رﺝ‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫ى‬ ‫ا‬ ‫م‬( ‫ن‬ ‫و‬ ، ‫ا‬ ‫ه‬ ‫إ‬ ‫ن‬ ‫ی‬ ‫ة‬ ‫ا‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫ن‬ ‫آ‬ ‫إذا‬ ‫دا‬ ‫ة‬ ‫ا‬ ‫ن‬ ‫ﺝ‬ ‫ا‬ ‫ی‬ ‫ه‬ ‫أ‬ ‫ن‬ ‫آ‬ ‫إذا‬ ‫رﺝ‬ ‫ة‬)‫ا‬ ‫و‬ ‫ا‬(‫ه‬ ‫آ‬ ‫أو‬ ‫رﺝ‬ ‫ا‬ ‫و‬ ‫ا‬ ‫ا‬ ‫إ‬ ‫ی‬ ‫ة‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫رج‬. ‫ل‬: ‫ا‬ ‫ی‬ ‫ا‬ ‫ا‬)S(‫ا‬ ‫ة‬ ‫و‬ ‫ا‬ ‫إ‬)P(‫ا‬ )‫ب‬ ‫ﺝ‬(‫رض‬ ‫ا‬)S(‫ا‬ ‫ة‬ ‫ا‬ ‫و‬)T(‫ا‬ ‫ا‬ ‫ا‬)S(‫أن‬ ‫ر‬ ‫آ‬ ‫ا‬ ‫ی‬ ،‫ذ‬ ‫و‬ ‫رﺝ‬ ‫أو‬ ‫دا‬ ‫ن‬ ‫ا‬ ‫ول‬ ‫ا‬ ‫ی‬ ‫آ‬ ‫رة‬ ‫ا‬ ‫ا‬: ‫ی‬ ‫و‬ ‫ا‬ ‫ه‬.‫ا‬ ‫ان‬ ‫ا‬ ‫ذو‬ ‫ذ‬ ‫ا‬ ‫أد‬: www.sites.google.com/site/faresfergani **‫ذ‬ ‫ا‬:‫رس‬** ‫ی‬ ‫د‬ ‫ی‬ ‫وب‬ ‫ا‬- Fares_Fergani@yahoo.Fr Tel : 0771998109 ‫و‬ ‫ری‬ ‫ا‬ ‫أو‬ ‫روس‬ ‫ا‬ ‫ي‬ ‫و‬ ‫ا‬ ‫ی‬ ‫ا‬ ‫ی‬ ‫إ‬ ‫ﺝ‬. ‫ا‬ ‫و‬ ‫ا‬-13: