fizikis kursi

fizikis kursi fizikis kursi

01.03.2013 Views

Soris. Δ r simciris gamo F Zala SeiZleba mudmivad CavTvaloT, xolo Δ r → dr . elementaruli gzis sigrZe, romelsac gadis Zalis modebis wertili dt drois SualedSi maSin elementaruli muSaoba ds = 35 d r dA = Fds cosα aq d simbolo aRniSnavs mcire sidideebs. meqanikuri muSaoba _ skalaruli sididea, aditiuri. Tu: • 90 , ° α < dA > 0, muSaoba dadebiTia. • 90 , ° α = dA = 0, muSaoba tolia nulis. • 90 , ° α > dA < 0, muSaoba uaryofiTia. n n n ⎛ ⎞ E dA = ∑ dAi = ⎜∑ F i ⎟d r i = ∑ F i v idt , i= 1 ⎝ i= 1 ⎠ i= 1 sadac r i da v i radius-veqtori da siCqarea Zalis modebis wertilSi. materialuri wertilis moZraobis dros sadac p - wertilis impulsia. dA = vd myari sxeulis gadatanis da moZraobis dros dA c p = v d p sadac p = mv c - myari sxeulis impulsia, romlis masaTa centri moZraobs v c siCqariT. m – myari sxeulis masaa. cvladi Zalis muSaoba davuSvaT, nawilakze (sxeulze) moqmedebs cvladi Zala, romlis sidide damokidebulia koordinataze kanoniT Fr = F(r ) . aseTi Zalis elementaruli muSaoba Δ Ai = FrΔr i ricxobrivad toli iqneba naxazze daStrixuli zolis farTis, xolo 1 r -dan 2 r gzaze is tolia farTis,

omelic SemosazRvrulia Fr (r) mrudiT, vertikaluri wrfeebiT r 1 da r 2 da r RerZiT (nax. 23) ∑ A = Δr →0 i i r 2 12 lim Fr Δri = ∫ Fr ( r) dr = f( r112r2 ) r cvladi Zalis meqanikuri muSaoba A = 2 12 1 ∫ dA = ∫ r r 1 2 1 F ( r) dr [ A ] = n ⋅m = j(jouli) , r dim A nax. 23 2 −2 = L MT simZlavre skalarul fizikur sidides, romelic tolia elementaruli muSaobis dA Sefardebis dt drosTan, romlis ganmavlobaSic sruldeba mocemuli muSaoba dA, myisi simZlavre ewodeba dA N = dt Tu dA muSaobas asrulebs F Zala, maSin N simZlavre SeiZleba warmovadginoT Semdegi skalaruli namravliT: dA d r N = = F ⋅ = ( F ⋅ v) dt dt e.i. namdvili (myisi) simZlavre udris Zalisa da siCqaris veqtorebis skalarul namravls. Tu muSaoba Tanabrad sruldeba, e.i. drois tol 36

omelic SemosazRvrulia Fr (r)<br />

mrudiT, vertikaluri wrfeebiT r 1 da r 2<br />

da r RerZiT (nax. 23)<br />

∑<br />

A =<br />

Δr<br />

→0<br />

i<br />

i<br />

r<br />

2<br />

12 lim Fr<br />

Δri<br />

= ∫ Fr<br />

( r)<br />

dr = f( r112r2<br />

)<br />

r<br />

cvladi Zalis meqanikuri muSaoba<br />

A<br />

= 2<br />

12<br />

1<br />

∫ dA = ∫<br />

r<br />

r<br />

1<br />

2<br />

1<br />

F ( r)<br />

dr<br />

[ A ] = n ⋅m<br />

= j(jouli)<br />

,<br />

r<br />

dim A<br />

nax. 23<br />

2 −2<br />

= L MT<br />

simZlavre<br />

skalarul fizikur sidides, romelic tolia elementaruli<br />

muSaobis dA Sefardebis dt drosTan, romlis ganmavlobaSic sruldeba<br />

mocemuli muSaoba dA, myisi simZlavre ewodeba<br />

dA<br />

N =<br />

dt<br />

Tu dA muSaobas asrulebs F Zala, maSin N simZlavre SeiZleba<br />

warmovadginoT Semdegi skalaruli namravliT:<br />

dA d r<br />

N = = F ⋅ = ( F ⋅ v)<br />

dt dt<br />

e.i. namdvili (myisi) simZlavre udris Zalisa da siCqaris veqtorebis<br />

skalarul namravls. Tu muSaoba Tanabrad sruldeba, e.i. drois tol<br />

36

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