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FIZIKA I.

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1. ALAPFOGALMAK .......................................................................................................1<br />

2. KOORDINÁTARENDSZEREK.....................................................................................1<br />

2.1. Descartes-féle koordinátarendszer ...................................................................................................................... 1<br />

2.2. Általános koordináták .......................................................................................................................................... 2<br />

Elnevezések............................................................................................................................................................... 3<br />

2.3. További speciális koordinátarendszerek............................................................................................................. 3<br />

Síkbeli polárkoordináta-rendszer .............................................................................................................................. 3<br />

Hengerkoordináta-rendszer ....................................................................................................................................... 3<br />

Gömbi /térbeli polár-/ koordinátarendszer ................................................................................................................ 4<br />

3. PONTKINEMATIKA .....................................................................................................4<br />

3.1. Alapok.................................................................................................................................................................... 4<br />

3.2. Tangenciális és centripetális gyorsuláskomponens ............................................................................................ 5<br />

3.3. Körmozgás............................................................................................................................................................. 6<br />

9. A HAMILTON-FÜGGVÉNY..........................................................................................6<br />

10. MEREV TESTEK MOZGÁSEGYENLETEI ................................................................6<br />

11. KONTINUUMMECHANIKA........................................................................................7<br />

11.1. Alapfogalmak ...................................................................................................................................................... 7<br />

Térmennyiség időderiváltjai...................................................................................................................................... 8<br />

Tenzorok ................................................................................................................................................................... 8<br />

Feszültségtenzor........................................................................................................................................................ 9<br />

Dilatációs tenzor ..................................................................................................................................................... 10<br />

Izotróp rugalmas test............................................................................................................................................... 10<br />

Egyszerű nyújtás ..................................................................................................................................................... 11<br />

Egyszerű nyírás ....................................................................................................................................................... 11<br />

Fluidumok ............................................................................................................................................................... 12<br />

A Bernoulli-egyenlet ............................................................................................................................................... 12<br />

Viszkozitás.............................................................................................................................................................. 13<br />

MÉRLEGEGYENLETEK................................................................................................13<br />

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