??? ?????????

	????????? ?????????
	; ??????????? ????????? ????
?????????? ????????????
	???? · ????? · ?????? · ???? ; ?????? · ?????? ;
?????????
	??????????? ????????? ; ?????????? ????????? ; Hamiltonian mechanics ;
?????????
	????????? ; ?????????? ; ????????? ; ?????????? ????????? ; ??? ????????? ; ?????? ????????? ; ?????????? ?????????? ;
??????????????
	??????? · ??????? · ????????? ; ???????? · Hamilton · ??'????????? ; Cauchy · ?????????? · ??????
	?????? ??????: ???? ; ??? ; ???? ;

??? ????????? ω (????????? ??????????), ????????? ν ? (????????? ??????????, ??????? ???????? ???????????????) ??? 2π ????? ????????? ???????. ??????????? ????????????? ??????? f ??????? ν ????????????????????.

??????????? ??? ????????? ?????????? ??????? ????????? ???????? ?????????????. ??? ?????????????? ??? ????? ????????? ??????? ?????????? ?????? ?????. ??? ????????? ??????? ${\vec {\omega }}$ ?????????? ???????????? ??? ??????????? ??????????? ????????????. ^[1]

??? ??????? 2π ?????????????? ????????, ???? ^[1]^[2]

\omega ={{2\pi } \over T}={2\pi f},

?????

ω ?????? ??? ????????? ?????? ????? ??? (???????????? ???????????? ????????????),

T ?????? ?????????????? (????????? ????????????),

f ?????? ????????? (???????? ????????????),

??????? [ ???? ]

SI ????????? ??? ????????? ????????? ?????????? ????????????, ??????????? ???? ?????? ???????? ????????, ????? ??????????? ?????? ????????? f ????? ?????????????????, ω ????? ??????????? ???????, ???? ??????????? ???????? ??????????????????. ^[3]

?????????????????? [ ???? ]

??? ????? ???????????? ??????????, ????????????? ???????? ?????? ????????? ??????? ?????????? ??? ω = v / r ??? ??????????????????????.

???? ??????? [ ???? ]

???? ?????????????? ???????? ?????????????? ?????, ????? ?????, ??? ????????? ??????????????????? ???????????:

\omega =v/r

?????????????? ????? [ ???? ]

?????????????? ???????????? ?????? ????????. ???????????? ??????????????? ????????????????? ????????? ???? ??????? ????????? ??? ?????????????? ???? ???????????? ?????????: ^[4]

\omega ={\sqrt {\frac {k}{m}}},

?????

k ???? ??????

m ???????? ??????.

ω ?????? ?????? ????????? (??? ???????????? ω ₀ ??? ??????????????).

????????? ???????? ?????????

a=-\omega ^{2}x\;,

????? ?????????????,

????? x ???????? ???????????????? ?????????????.

????? ?????? ????????????? ????????????????? ????????????? ??????????? ???????

a=-4\pi ^{2}f^{2}x\;.

LC ??????????????? [ ???? ]

LC ???????? ????? ?????????????? ???? ????????? (C ????????? ???????????????), ???? ??????????? (L ?????????? ???????????????) ??????????? ????????????? ????????? ????????????????? ????????. ^[5]

\omega ={\sqrt {1 \over LC}}

?????? ??????? [ ???? ]

???? ??? ???????

?????????? ????????????? [ ???? ]

↑ ^1.0 ^1.1 Cummings, Karen (Second Reprint: 2007). Understanding physics . New Delhi: John Wiley & Sons Inc., authorized reprint to Wiley - India. pp. 449, 484, 485, 487. ??????????? ?????????? ??? 978-81-265-0882-2 . {{ cite book }}: Check date values in: |date= ( help ) ; Unknown parameter |coauthors= ignored ( help ) (UP1)
↑ Holzner, Steven (2006). Physics for Dummies . Hoboken, New Jersey: Wiley Publishing Inc. p. 201. ??????????? ?????????? ??? 978-0-7645-5433-9 . {{ cite book }}: Cite has empty unknown parameter: |coauthors= ( help )
↑ Lerner, Lawrence S. (1996-01-01). Physics for scientists and engineers . p. 145. ??????????? ?????????? ??? 978-0-86720-479-7 .
↑ Serway,, Raymond A. (2006). Principles of physics - 4th Edition . Belmont, CA.: Brooks / Cole - Thomson Learning. pp. 375, 376, 385, 397. ??????????? ?????????? ??? 978-0-534-46479-0 . {{ cite book }}: Unknown parameter |coauthors= ignored ( help ) CS1 maint: extra punctuation ( link )
↑ Nahvi, Mahmood (2003). Schaum's outline of theory and problems of electric circuits . McGraw - Hill Companies (McGraw - Hill Professional). pp. 214, 216. ??????????? ?????????? ??? 0-07-139307-2 . {{ cite book }}: Unknown parameter |coauthors= ignored ( help ) (LC1)

?????????? ????????????:

Olenick ,, Richard P. (2007). The Mechanical Universe . New York City: Cambridge University Press. pp. 383?385, 391?395. ??????????? ?????????? ??? 978-0-521-71592-8 . {{ cite book }}: Unknown parameter |coauthors= ignored ( help ) CS1 maint: extra punctuation ( link )

[UP1-1] 1.0 ^1.1 Cummings, Karen (Second Reprint: 2007). Understanding physics . New Delhi: John Wiley & Sons Inc., authorized reprint to Wiley - India. pp. 449, 484, 485, 487. ??????????? ?????????? ??? 978-81-265-0882-2 . {{ cite book }}: Check date values in: |date= ( help ) ; Unknown parameter |coauthors= ignored ( help ) (UP1)

[2] Holzner, Steven (2006). Physics for Dummies . Hoboken, New Jersey: Wiley Publishing Inc. p. 201. ??????????? ?????????? ??? 978-0-7645-5433-9 . {{ cite book }}: Cite has empty unknown parameter: |coauthors= ( help )

[3] Lerner, Lawrence S. (1996-01-01). Physics for scientists and engineers . p. 145. ??????????? ?????????? ??? 978-0-86720-479-7 .

[PoP1-4] Serway,, Raymond A. (2006). Principles of physics - 4th Edition . Belmont, CA.: Brooks / Cole - Thomson Learning. pp. 375, 376, 385, 397. ??????????? ?????????? ??? 978-0-534-46479-0 . {{ cite book }}: Unknown parameter |coauthors= ignored ( help ) CS1 maint: extra punctuation ( link )

[LC1-5] Nahvi, Mahmood (2003). Schaum's outline of theory and problems of electric circuits . McGraw - Hill Companies (McGraw - Hill Professional). pp. 214, 216. ??????????? ?????????? ??? 0-07-139307-2 . {{ cite book }}: Unknown parameter |coauthors= ignored ( help ) (LC1)

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