KlasiÃ„Âna mehanika

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Predgovor Iz područja teorijske mehanike je već napisano mnoˇstvo vrlo dobrih knjiga i stoga bi bio vrlo teˇzak zadatak reći neˇsto novo ili originalno u ovom području. Umjesto toga, autor si je postavio puno skromniji cilj, a to je: olakˇsati praćenje predavanja iz kolegija Klasična <strong>mehanika</strong> 1 i 2 na studiju fizike osječkog sveučiliˇsta. Za praćenje izlaganja u ovoj knjizi, dovoljno je elementarno poznavanje vektorskog i integrodiferencijanog računa, kao i osnovnih pojmova opće fizike. Izsvojegviˇsegodiˇsnjegradasastudentima, autorjedoˇsaodonedvojbenogzaključkadaopˇsirnost knjige nikako ne moˇze biti njezin nedostatak. Stoga su i mnoga objaˇsnjenja, računi i izvodi dani dosta detaljno, uz izostanak samo najelementarnijih algebarskih operacija. Pojedine teme su u ovoj knjizi obradene neˇsto detaljnije i opˇsirnije nego na predavanjima, a takoder postoje i teme koje su (zbog nedostatka vremena) potpuno izostavljene na predavanjima. Isto tako postoje cijela područja (poput specijalne teorije relativnosti, mehanike fluida, teorije elastičnosti i sl.) koja se ne nalaze u ovoj knjizi, a koja zainteresirani čitatelj moˇze naći u nekima od knjiga navedenih u popisu literature. Napomena: Pojavljivanje u tekstu imenica kao ˇsto su čitatelj, student i sličnih, podrazumjeva i osobe ˇzenskog i osobe muˇskog spola, dakle: čitateljica, studentica i slično. Osijek, lipnja 2006. Autor xv
xvi SADR ˇ ZAJ
Page 1 and 2: KLASIČNA MEHANIKA UVOD Zvonko Glum
Page 4 and 5: Sadrˇzaj 1 Uvod 1 I Mehanika jedne
Page 6 and 7: SADR ˇ ZAJ ix 8.3.4 Kosi hitac . .
Page 8 and 9: SADR ˇ ZAJ xi 16 Mali titraji sust
Page 10 and 11: Ovo su biljeˇske s autorovih preda
Page 14 and 15: Kazalo kratica i simbola �A vekto
Page 16 and 17: Poglavlje 1 Uvod Na početku svake
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Page 20: Dio I Mehanika jedne čestice 5
Page 23 and 24: 8 POGLAVLJE 2. MATEMATIČKI UVOD -
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48 POGLAVLJE 2. MATEMATIČKI UVOD -
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92 POGLAVLJE 3. KINEMATIKA Slika 3.
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94 POGLAVLJE 3. KINEMATIKA Prvi čl
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96 POGLAVLJE 3. KINEMATIKA Slika 3.
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98 POGLAVLJE 3. KINEMATIKA Prva od
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100 POGLAVLJE 3. KINEMATIKA iz čeg
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102POGLAVLJE4. NEWTONOVIAKSIOMIGIBA
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126 POGLAVLJE 5. GIBANJE ČESTICE U
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152 POGLAVLJE 6. HARMONIJSKI OSCILA
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204 POGLAVLJE 7. GRAVITACIJA I CENT
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270 POGLAVLJE 8. INERCIJSKI I NEINE
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294 POGLAVLJE 9. SPECIJALNA TEORIJA
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Poglavlje 10 Sustavi čestica 10.1
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10.1. DISKRETNI I KONTINUIRANI SUST
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10.2. SREDI ˇ STE MASE 307 Slika 1
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10.2. SREDI ˇ STE MASE 309 Sa slik
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10.3. KOLI ČINAGIBANJA,MOMENTKOLI
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10.4. NEINERCIJSKI KOORDINATNI SUST
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10.4. NEINERCIJSKI KOORDINATNI SUST
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10.5. LAGRANGEOVO I D’ALEMBERTOVO
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10.6. SUSTAVI S PROMJENJIVOM MASOM:
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10.6. SUSTAVI S PROMJENJIVOM MASOM:
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10.7. SUDARI ČESTICA 341 Zadatak:
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10.7. SUDARI ČESTICA 343 R: Prema
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10.7. SUDARI ČESTICA 345 i poslije
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10.7. SUDARI ČESTICA 347 Slika 10.
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10.7. SUDARI ČESTICA 349 R: dovrˇ
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Poglavlje 11 Mali titraji sustava
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11.1. MALILONGITUDINALNITITRAJIJEDN
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11.2. MALITRANSVERZALNITITRAJIKONTI
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11.3. TITRANJE PRAVOKUTNE MEMBRANE
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11.4. TITRANJE KRU ˇ ZNE MEMBRANE
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11.5. TITRANJE MOLEKULA 401 Slika 1
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Poglavlje 12 Ravninsko gibanje krut
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12.2. MOMENT TROMOSTI KRUTOG TIJELA
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12.3. TEOREMI O MOMENTIMA TROMOSTI
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12.4. PAROVI SILA 413 izaziva trans
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12.5. KINETIČKA ENERGIJA, RAD I SN
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12.5. KINETIČKA ENERGIJA, RAD I SN
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12.6. FIZIČKO NJIHALO 419 Slika 12
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12.6. FIZIČKO NJIHALO 421 Izračun
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12.6. FIZIČKO NJIHALO 423 Uvrstiv
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12.7. OPĆENITO RAVNINSKO GIBANJE K
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12.8. TRENUTNO SREDI ˇ STE VRTNJE
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12.8. TRENUTNO SREDI ˇ STE VRTNJE
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12.9. STATIKA KRUTOG TIJELA 431 Uvj
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12.9. STATIKA KRUTOG TIJELA 433 Sad
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12.9. STATIKA KRUTOG TIJELA 435 Zad
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12.9. STATIKA KRUTOG TIJELA 437 Pro
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Poglavlje 13 Prostorno gibanje krut
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13.1. TENZOR TROMOSTI 441 komponent
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13.1. TENZOR TROMOSTI 443 njegove s
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13.1. TENZOR TROMOSTI 445 Uvrstimo
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13.1. TENZOR TROMOSTI 447 glavnih o
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13.2. EULEROVE JEDNAD ˇ ZBE GIBANJ
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13.2. EULEROVE JEDNAD ˇ ZBE GIBANJ
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13.3. GIBANJE ZEMLJE 453 Eulerove j
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13.3. GIBANJE ZEMLJE 455 (glavne os
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13.4. EULEROVI KUTOVI 457 13.4 Eule
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13.4. EULEROVI KUTOVI 459 Iz gornje
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13.5. CAYLEY - KLEIN PARAMETRI 461
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13.6. GIBANJE ZVRKA 463 sustav d
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13.6. GIBANJE ZVRKA 465 Integracijo
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13.6. GIBANJE ZVRKA 467 Slika 13.10
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13.6. GIBANJE ZVRKA 469 odeduju rub
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13.6. GIBANJE ZVRKA 471 Slika 13.13
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Dio III Analitička mehanika 473
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476 POGLAVLJE 14. LAGRANGEOVE JEDNA
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510 POGLAVLJE 15. HAMILTONOVE JEDNA
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554 POGLAVLJE 16. MALI TITRAJI SUST
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556 POGLAVLJE 16. MALI TITRAJI SUST
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558 POGLAVLJE 17. KLASIČNA TEORIJA
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Poglavlje 18 Mehanika Fluida uvodni
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Dodatak A Matematički dodatak A.1
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A.2. TAYLOROV RAZVOJ 583 A.2 Taylor
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A.4. ZAOKVIRENE FORMULE IZ OVE KNJI
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Dodatak B Diracova δ-funkcija Dira
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Sli”cnim se postupkom dobije i
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Na sli”can na”cin, u sfernom ko
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Dodatak C Presjeci stoˇsca: kruˇz
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Elipsa se definira kao ravninska kr
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Slika C.3: Uz izvod jednadˇzbe par
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Dodatak D Elementi Fourierove anali
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Izračunajmo sada integral IN ako u
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Dodatak E Vučedolski kalendar http
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već kao kanon stoji na tom prijelo
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Bibliografija [1] Aganović I., Ves
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Kazalo autora Bessel, FriedrichWilh
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Kazalo pojmova mehanicizam, 205 amp
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KAZALO POJMOVA 613 laplasijan, 46 L
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KAZALO POJMOVA 615 teorem Gaussov,
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KlasiÃ„Âna mehanika