KlasiÃ„Âna mehanika

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All science is either physics or stamp collecting. lord Ernest Rutherford, 1871 - 1937 v
Page 1: KLASIČNA MEHANIKA UVOD Zvonko Glum
Page 5 and 6: viii SADR ˇ ZAJ 5 Gibanje čestice
Page 7 and 8: x SADR ˇ ZAJ 12 Ravninsko gibanje
Page 9 and 10: xii SADR ˇ ZAJ
Page 11 and 12: xiv SADR ˇ ZAJ
Page 13 and 14: xvi SADR ˇ ZAJ
Page 15 and 16: xviii SADR ˇ ZAJ V volumen; skalar
Page 17 and 18: 2 POGLAVLJE 1. UVOD Početkom dvade
Page 19 and 20: 4 POGLAVLJE 1. UVOD U ovoj ćemo se
Page 22 and 23: Poglavlje 2 Matematički uvod - ele
Page 24 and 25: 2.1. VEKTORI 9 Slika 2.1: Definicij
Page 26 and 27: 2.1. VEKTORI 11 matrice (gdje je D
Page 28 and 29: 2.1. VEKTORI 13 Sličnim se postupk
Page 30 and 31: 2.1. VEKTORI 15 Slika 2.5: Skalarno
Page 32 and 33: 2.2. DERIVACIJA VEKTORSKOG POLJA 17
Page 34 and 35: 2.3. INTEGRAL VEKTORSKOG POLJA 19 Z
Page 36 and 37: 2.3. INTEGRAL VEKTORSKOG POLJA 21 S
Page 38 and 39: 2.3. INTEGRAL VEKTORSKOG POLJA 23 Z
Page 40 and 41: 2.4. VEKTORSKI DIFERENCIJALNI OPERA
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2.4. VEKTORSKI DIFERENCIJALNI OPERA
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2.5. CILINDRIČNI KOORDINATNI SUSTA
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2.6. SFERNI KOORDINATNI SUSTAV 61 S
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2.6. SFERNI KOORDINATNI SUSTAV 63 p
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2.6. SFERNI KOORDINATNI SUSTAV 65 U
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2.6. SFERNI KOORDINATNI SUSTAV 67 k
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2.6. SFERNI KOORDINATNI SUSTAV 69 u
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2.7. KOVARIJANTNE I KONTRAVARIJANTN
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2.8. ORTOGONALNA PREOBRAZBA 79 gore
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2.8. ORTOGONALNA PREOBRAZBA 81 ili
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2.9. SVOJSTVA MATRICE PREOBRAZBE A
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2.10. TENZORI 89 • Tenzor drugog
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Poglavlje 3 Kinematika Kinematika j
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3.1. BRZINA I UBRZANJE 93 Općenito
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3.2. TROBRID PRATILAC 95 Ubrzanje u
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3.3. FRENET-SERRETOVE FORMULE 97 Iz
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3.4. KRU ˇ ZNO GIBANJE 99 ishodiˇ
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Poglavlje 4 Newtonovi aksiomi giban
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4.1. NEWTONOVI AKSIOMI 103 Za ilust
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4.1. NEWTONOVI AKSIOMI 105 Slika 4.
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4.1. NEWTONOVI AKSIOMI 107 (Coulomb
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4.2. RAD, SNAGA I KINETIČKA ENERGI
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4.3. KONZERVATIVNE SILE I POTENCIJA
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4.4. IMPULS SILE I MOMENTI 117 Mome
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4.5. STATIKA ILI RAVNOTEˇ ZA ČEST
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Poglavlje 5 Gibanje čestice u polj
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5.1. GIBANJE U POLJU KONSTANTNE SIL
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5.2. UVJETI NA GIBANJE: KOSINA 133
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5.3. SILE OVISNE O BRZINI: (1) SILA
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5.4. SILE OVISNE O BRZINI: (2) LORE
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Poglavlje 6 Harmonijski oscilator i
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6.1. JEDNODIMENZIJSKI HARMONIJSKI O
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6.2. DVODIMENZIJSKI HARMONIJSKI OSC
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6.3. TRODIMENZIJSKI HARMONIJSKI OSC
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6.4. MATEMATIČKO NJIHALO 197 tj. e
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6.4. MATEMATIČKO NJIHALO 199 gornj
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6.4. MATEMATIČKO NJIHALO 201 Svi s
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Poglavlje 7 Gravitacija i centralne
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ishodiˇsta koordinatnog sustava su
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7.1. NEWTONOV ZAKON GRAVITACIJE 207
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7.2. GRAVITACIJSKO PRIVLAČENJE OKR
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7.3. DIVERGENCIJA I ROTACIJA GRAVIT
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7.3. DIVERGENCIJA I ROTACIJA GRAVIT
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7.4. MULTIPOLNI RAZVOJ POTENCIJALA
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7.5. PROBLEM DVA TIJELA 235 Monopol
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7.5. PROBLEM DVA TIJELA 237 pa je
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7.6. CENTRALNE SILE 239 Uvede li se
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7.6. CENTRALNE SILE 241 da je to ra
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7.7. JEDNADˇ ZBA GIBANJA ČESTICE
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7.8. POTENCIJALNA ENERGIJA ČESTICE
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7.10. OPIS GIBANJA NEBESKIH TIJELA
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7.11. EKVIVALENTNOST KEPLEROVIH ZAK
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7.12. VIRIJALNI TEOREM 259 T je ist
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7.13. ”STO BI BILO ... 261 No, u
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7.13. ”STO BI BILO ... 263 Kako b
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7.13. ”STO BI BILO ... 265 bi sil
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7.15. RASPRˇ SENJE ČESTICA U POLJ
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Poglavlje 8 Inercijski i neinercijs
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8.1. VREMENSKA PROMJENA VEKTORA 271
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8.2. BRZINA I UBRZANJE U SUSTAVU KO
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8.3. OPĆENITO GIBANJE KOORDINATNIH
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8.4. FOUCAULTOVO NJIHALO 285 da je
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8.4. FOUCAULTOVO NJIHALO 287 Primje
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8.4. FOUCAULTOVO NJIHALO 289 x(t) =
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8.5. OPĆENITA JEDNADˇ ZBA GIBANJA
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Poglavlje 9 Specijalna teorija rela
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Dio II Mehanika sustava čestica 29
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298 POGLAVLJE 10. SUSTAVI ČESTICA
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352 POGLAVLJE 11. MALI TITRAJI SUST
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404 POGLAVLJE 12. RAVNINSKO GIBANJE
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440 POGLAVLJE 13. PROSTORNO GIBANJE
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Poglavlje 14 Lagrangeove jednadˇzb
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14.2. STUPNJEVI SLOBODE 477 koordin
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14.2. STUPNJEVI SLOBODE 479 U jedna
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14.2. STUPNJEVI SLOBODE 481 Primjer
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14.3. LAGRANGEOVE JEDNAD ˇ ZBE 483
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14.5. LAGRANGEOVAFUNKCIJANAELEKTRIZ
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14.5. LAGRANGEOVAFUNKCIJANAELEKTRIZ
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14.6. HAMILTONOVO NAČELO 499 neka
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14.7. PRIMJENE EULER - LAGRANGEOVE
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14.8. HAMILTONOVO NAČELO ZA NEHOLO
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14.10. BA ˇ ZDARNA PREOBRAZBA 505
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14.11. SIMETRIJE I ZAKONI SAČUVANJ
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Poglavlje 15 Hamiltonove jednadˇzb
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15.1. HAMILTONOVE JEDNAD ˇ ZBE 511
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15.2. POISSONOVE ZAGRADE 517 Zadata
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15.2. POISSONOVE ZAGRADE 519 Zadata
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15.3. KANONSKA PREOBRAZBA 521 15.3
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15.3. KANONSKA PREOBRAZBA 523 Neka
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15.3. KANONSKA PREOBRAZBA 525 Primj
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15.3. KANONSKA PREOBRAZBA 527 Prema
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15.3. KANONSKA PREOBRAZBA 529 Izra
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15.3. KANONSKA PREOBRAZBA 531 pa pr
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15.4. HAMILTON-JACOBIJEVA JEDNAD ˇ
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15.5. LIOUVILLEOV TEOREM 539 Gornja
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15.5. LIOUVILLEOV TEOREM 541 svih N
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15.5. LIOUVILLEOV TEOREM 543 Slika
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15.5. LIOUVILLEOV TEOREM 545 istim
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15.6. PRIJELAZ NA KVANTNU MEHANIKU
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Poglavlje 16 Mali titraji sustava
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Poglavlje 17 Klasična teorija polj
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17.1. LAGRAN ˇ ZIJAN KONTINUIRANOG
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17.2. HAMILTONOVO NAČELO ZA KONTIN
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17.2. HAMILTONOVO NAČELO ZA KONTIN
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17.3. LAGRANGEOVA JEDNAD ˇ ZBA GIB
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17.4. TENZOR NAPREZANJA 567 17.4 Te
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17.5. ZAKONI SAČUVANJA 569 Primjen
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17.5. ZAKONI SAČUVANJA 571 Budući
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17.6. JEDNAD ˇ ZBA GIBANJA 573 17.
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17.6. JEDNAD ˇ ZBA GIBANJA 575 Neg
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Dio IV Mehanika Fluida 577
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580 POGLAVLJE 18. MEHANIKA FLUIDA
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582 DODATAK A. MATEMATIČKI DODATAK
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588 DODATAK B. DELTA FUNKCIJA (2) P
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590 DODATAK B. DELTA FUNKCIJA (5) P
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592 DODATAK B. DELTA FUNKCIJA
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594 DODATAK C. PRESJECI STO ˇ SCA
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600 DODATAK D. FOURIEROVI REDOVI za
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602 DODATAK D. FOURIEROVI REDOVI
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604 DODATAK E. VUČEDOLSKI KALENDAR
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606 DODATAK E. VUČEDOLSKI KALENDAR
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608 BIBLIOGRAFIJA [20] Kotkin G. L.
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610 KAZALO AUTORA Steiner, Jakob, (
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612 KAZALO POJMOVA naboj, 209, 213,
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614 KAZALO POJMOVA sile priguˇsenj
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