fizikis kursi
fizikis kursi fizikis kursi
e.i. harmoniuli rxevis dros sruli energia mudmivia, rac imis Sedegia, rom garda wonasworobisadmi damabrunebeli drekadi (kvazidrekadi) Zalisa, sxva Zala ar moqmedebs. 4.4. harmoniuli rxevebis Sekreba erTnairi sixSiris da mimarTulebis rxevebis veqtoruli Sekreba ori harmoniuli rxevis x 1 da x 2 Sekrebisas, romlebic ganisazRvrebian gantolebebiT: x = A cos( ω t + ϕ ) da x = A ω t + ϕ ) 1 , 0 1 miviRebT igive sixSiris harmoniul rxevas: x = x + x = A ω t + ϕ) jamuri rxevis amplituda iqneba (nax. 33) A 2 2 1 1 2 2 2 2 cos( 0 2 x = Acosωt, y = Bcos( ω t + ϕ) 61 2 cos( 0 = A + A + A cos( ϕ −ϕ ) xolo faza ϕ gamoisaxeba gantolebiT: a) Tu − ϕ = 0 ϕ 2 1 , maSin 1 2 A A A + 1 2A1 2 1 2 A1 sinϕ1 + A2 sinϕ 2 tgϕ = A cosϕ + A cosϕ 1 nax. 33 2 = amplituda udidesia b) Tu ϕ 2 − ϕ1 = ± π , maSin A = A1 − A2 , rxevebi sawinaaRmdego fazebSia da amplituda minimaluria. urTierTmarTobi harmoniuli rxevebis Sekreba. Tu materialuri wertili erTdroulad irxeva OX da OY koordinatTa RerZebis gaswvriv kanoniT: 2
sadac A da B sawyisi amplitudebia, ω _ maTi sixSireebi, ϕ − erT-erTi rxevis sawyisi fazaa. SedegiTi rxeva warmoadgens elifss, romlis gantolebaa (nax. 34): a) Tu ϕ = 0 x A 2 2 y + B 2 2 2xy − cosϕ = sin AB nax. 34 ⎛ x y ⎞ ⎜ − ⎟ = 0, ⎝ A B ⎠ traeqtoria _ wrfea, romlis gantolebaa B Y = X A wertili gairxeva gantolebidan miRebuli wrfis gaswvriv ω sixSiriT da 2 2 A + B amplitudiT. B b) Tu ϕ = ± π , traeqtoria isev wrfea, gantoleba iqneba Y = − X A π g) Tu ϕ = ± , traeqtoria elifsia 2 x A 2 2 Y + B 62 2 2 2 = 1 2 ϕ
- Page 11 and 12: laTinuri anbani berZnuli anbani A,
- Page 13 and 14: sxeulis umartivesi fizikuri modelia
- Page 15 and 16: es gamosaxulebebi gansazRvraven saS
- Page 17 and 18: 2 dv v1 a τ = τ , an = n dt R τ
- Page 19 and 20: unviTi moZraobis dros sxeulis yvela
- Page 21 and 22: 1 ω υ = = T 2π 1 [ ] = wm υ =wm
- Page 23 and 24: 2. dinamika 2.1. materialuri wertil
- Page 25 and 26: niutonis meore kanoni. sxeulze momq
- Page 27 and 28: klasikur (niutonis) meqanikaSi gani
- Page 29 and 30: inerciuli da arainerciuli sistemebi
- Page 31 and 32: nax. 16. k- drekadobis koeficientia
- Page 33 and 34: xaxunis Zalebi xaxunis Zalebi warmo
- Page 35 and 36: 4. Tu sxeuli raRac ZaliT ekroba ver
- Page 37 and 38: omelic SemosazRvrulia Fr (r) mrudiT
- Page 39 and 40: 2 2 k mv 2 mv1 A = ΔW = − 2 2 sa
- Page 41 and 42: Zala da potenciuri energia davuSvaT
- Page 43 and 44: Zalis momenti _ fsevdoveqtoria, mis
- Page 45 and 46: mTeli sxeulis inerciis momenti I ud
- Page 47 and 48: ar icvleba droSi ( I z = const). im
- Page 49 and 50: dros. iqneba: am formuliT gamoiTvle
- Page 51 and 52: d p dt = 50 ∑ sadac p sistemis im
- Page 53 and 54: 2.6 sxeulTa wonasworobis pirobebi.
- Page 55 and 56: Seeqmna masSi sinaTlis gavrcelebisa
- Page 57 and 58: 3. siCqareTa Sekrebis kanoni. galil
- Page 59 and 60: 4. rxevebi da talRebi. 4.1. rxeva.
- Page 61: mocemulia wanacvlebis, siCqaris da
- Page 65 and 66: sadac A 0 sawyisi amplitudaa milevi
- Page 67 and 68: α − talRis sawyisi faza ⎛ x
- Page 69 and 70: 3π A = 2A 2... md amplituda maqsim
- Page 71 and 72: sxeulis simkvrive _ ewodeba sxeulis
- Page 73 and 74: _ molekulebis saSualo kvadratuli si
- Page 75 and 76: -s damokidebuleba -ze mocemulia nax
- Page 77 and 78: ganawilebis funqcia eqvemdebareba n
- Page 79 and 80: Tavisufali gadarbenis gamoTvla mart
- Page 81 and 82: sadac da Sinagani energiis mniSvnel
- Page 83 and 84: e.i. kuTri siTbotevadoba siTbos is
- Page 85 and 86: adiabaturi gafarToebis muSaoba sada
- Page 87 and 88: ciklis dros. _ siTburi manqanis mie
- Page 89 and 90: nebismieri ciklisaTvis Termodinamik
- Page 91 and 92: entropiis warmodgena, rogorc damouk
- Page 93 and 94: maxloblobaSi. Tu nivTiereba imyofeb
- Page 95 and 96: temperaturis gadidebiT grafiki iwev
- Page 97 and 98: cdomilebaTa sruli Teoriis ganxilva
- Page 99 and 100: sadac , , - pirdapiri gazomvebis ab
- Page 101 and 102: diferencialebi Secvlilia fizikur si
sadac A da B sawyisi amplitudebia,<br />
ω _ maTi sixSireebi,<br />
ϕ − erT-erTi rxevis sawyisi fazaa.<br />
SedegiTi rxeva warmoadgens elifss, romlis gantolebaa (nax. 34):<br />
a) Tu ϕ = 0<br />
x<br />
A<br />
2<br />
2<br />
y<br />
+<br />
B<br />
2<br />
2<br />
2xy<br />
− cosϕ<br />
= sin<br />
AB<br />
nax. 34<br />
⎛ x y ⎞<br />
⎜ − ⎟ = 0,<br />
⎝ A B ⎠<br />
traeqtoria _ wrfea, romlis gantolebaa<br />
B<br />
Y = X<br />
A<br />
wertili gairxeva gantolebidan miRebuli wrfis gaswvriv ω sixSiriT da<br />
2 2<br />
A + B amplitudiT.<br />
B<br />
b) Tu ϕ = ± π , traeqtoria isev wrfea, gantoleba iqneba Y = − X<br />
A<br />
π<br />
g) Tu ϕ = ± , traeqtoria elifsia<br />
2<br />
x<br />
A<br />
2<br />
2<br />
Y<br />
+<br />
B<br />
62<br />
2<br />
2<br />
2<br />
= 1<br />
2<br />
ϕ
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