fizikis kursi

fizikis kursi fizikis kursi

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drois aTvla daviwyoT A mdebareobidan. ΔS _ gavlili manZili (gza) ewodeba traeqtoriis AB monakveTis sigrZes da warmoadgens drois skalarul funqcias: S = ΔS(t) Δ . r = r − r0 Δ veqtors, romelic gaivleba wertilis sawyisi mdebareobidan sabolooSi, Δt droSi Sesrulebuli gadaadgildeba ewodeba. cxadia, wrfivi moZraobisas gadaadgilebis veqtori emTxveva Sesabamisi traeqtoriis monakveTs da misi moduli [ Δ r] toli iqneba Δ S gavlili gzis. siCqare materialuri wertilis moZraobis dasaxasiaTeblad ganixileba veqtoruli sidide _ siCqare, romelic gansazRvravs sxeulis moZraobis siswrafes da mis mimarTulebas drois mocemul momentSi. DdavuSvaT, materialuri wertili moZraobs raime mrudze (nax. 2). drois t momentSi igi A mdebareobaSia, xolo t + Δt momentSi _ B-Si. gadaadgilebis veqtori r r r − = Δ , sididiT is udris AB qordas da gansxvavdeba gavlili iqneba 0 gzisgan (AB rkali). es gansxvaveba miT ufro mcirea, rac ufro mcirea Δ t . drois Sualedis _ Δ t SemcirebiT mrudwiruli moZraoba daiyvaneba wrfiv moZraobaze. wrfivi moZraobis saSualo siCqare tolia gavlili gzis Sefardebisa Sesabamis drosTan (nax. 3). v ΔS = , Δt 13 v nax. 3. Δr = Δt

es gamosaxulebebi gansazRvraven saSualo siCqaris sidides da mimarTulebas. Tu gadavalT zRvarze, roca Δt → 0, miviRebT siCqares drois momentSi, anu myis siCqares (saSualo da myisi siCqaris mimarTulebebi naCvenebia nax.3) Δr dr v = lim = Δt dt e.i. myisi, anu namdvili siCqare tolia radius-veqtoris pirveli rigis warmoebulisa droiT. rodesac Δt → 0 , maSin Δ S → Δr , amitom rogorc wrfivi, aseve mrudwiruli moZraobisaTvis gveqneba: Δr Δr ΔS ds v = v = lim = lim = lim = Δt→0 Δt Δt→0 Δt Δt→0 Δt dt e.i. myisi siCqaris ricxviTi mniSvneloba tolia gzis pirveli rigis warmoebulisa droiT. araTanabari, anu cvladi moZraobis SemTxvevaSi, radgan myisi siCqaris mniSvneloba droSi icvleba, ganmartaven saSualo siCqares: v ΔS = Δt nax.3-dan Cans, rom v > v , radgan Δ S > Δr , mxolod wrfivi moZraobisas Δ S = Δr sxeulis mier gavlili gza t1 -dan t 2 drois SualedSi zogadi saxiT gamoiTvleba integraliT: S = t 2 ∫ t 1 v( t) dt Tanabari moZraobis SemTxvevaSi v = const ( t − t = Δt) da miviRebT: S = t 2 14 , 2 1 ∫vdt = v∫dt = vΔ t 1 aCqareba, aCqarebis mdgenelebi t t 2 1 fizikur sidides, romelic axasiaTebs siCqaris cvlilebis siswrafes moduliT da mimarTulebiT, aCqareba ewodeba. aCqareba t

es gamosaxulebebi gansazRvraven saSualo siCqaris sidides da<br />

mimarTulebas. Tu gadavalT zRvarze, roca Δt → 0,<br />

miviRebT siCqares<br />

drois momentSi, anu myis siCqares (saSualo da myisi siCqaris<br />

mimarTulebebi naCvenebia nax.3)<br />

Δr<br />

dr<br />

v = lim =<br />

Δt<br />

dt<br />

e.i. myisi, anu namdvili siCqare tolia radius-veqtoris pirveli<br />

rigis warmoebulisa droiT. rodesac Δt → 0 , maSin Δ S → Δr<br />

, amitom<br />

rogorc wrfivi, aseve mrudwiruli moZraobisaTvis gveqneba:<br />

Δr<br />

Δr<br />

ΔS<br />

ds<br />

v = v = lim = lim = lim =<br />

Δt→0 Δt<br />

Δt→0<br />

Δt<br />

Δt→0<br />

Δt<br />

dt<br />

e.i. myisi siCqaris ricxviTi mniSvneloba tolia gzis pirveli rigis<br />

warmoebulisa droiT.<br />

araTanabari, anu cvladi moZraobis SemTxvevaSi, radgan myisi<br />

siCqaris mniSvneloba droSi icvleba, ganmartaven saSualo siCqares:<br />

v<br />

ΔS<br />

=<br />

Δt<br />

nax.3-dan Cans, rom v > v , radgan Δ S > Δr<br />

, mxolod wrfivi<br />

moZraobisas Δ S = Δr<br />

sxeulis mier gavlili gza t1 -dan t 2 drois SualedSi zogadi saxiT<br />

gamoiTvleba integraliT:<br />

S =<br />

t<br />

2<br />

∫<br />

t<br />

1<br />

v(<br />

t)<br />

dt<br />

Tanabari moZraobis SemTxvevaSi v = const ( t − t = Δt)<br />

da miviRebT:<br />

S =<br />

t<br />

2<br />

14<br />

, 2 1<br />

∫vdt = v∫dt<br />

= vΔ<br />

t<br />

1<br />

aCqareba, aCqarebis mdgenelebi<br />

t<br />

t<br />

2<br />

1<br />

fizikur sidides, romelic axasiaTebs siCqaris cvlilebis<br />

siswrafes moduliT da mimarTulebiT, aCqareba ewodeba. aCqareba<br />

t

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