ࡱ> (*'7 bjbjUU "<7|7|j .l4444444HHHH8lHN  CCCI K K K K K K $: Zo 4C!"CCCo 44  C&44I CI I 44I  ptHHi I I 0NI i I HH4444 Miscarea circulara uniform variata Miscarea circulara in care acceleratia unghiulara este constanta se numeste miscare circulara uniform variata. =const. reprezinta ecuatia acceleratieiin miscarea circulara uniform variata. Se disting 2 cazuri: 1.  1 > 2 pentru t2 > t1 ;  > 0 -- miscare circulara uniform accelerata. 2. 2 < 1 pentru t2 > t1 ;  < 0  miscare circulara uniform incetinita. Integrand de la 0 la  in stanga si de la 0 la t in dreapta obtinem :  t d EMBED Equation.3  =  d EMBED Equation.3 t sau  = 0 +  EMBED Equation.3 t ecuatia 0 0 vitezei unghiulare in MCUV, cu viteza unghiulara initiala.  Daca la t = 0 0 = 0  =  EMBED Equation.3 t ecuatia vitezei unghiulare in MCUV, fara viteza unghiulara initiala.  EMBED Equation.3 = 0 +  EMBED Equation.3 t Inmultind cu dt avem:  EMBED Equation.3 = 0 +  EMBED Equation.3 t EMBED Equation.3 d EMBED Equation.3 t , iar integrand de la  EMBED Equation.3 0 la  EMBED Equation.3  in stanga si de la 0 la t in dreapta obtinem :  EMBED Equation.3  t t d EMBED Equation.3  EMBED Equation.3 = 0 d EMBED Equation.3 t +  d EMBED Equation.3 t sau  EMBED Equation.3 0 0 0  EMBED Equation.3 -  EMBED Equation.3 0 = 0  EMBED Equation.3  t +   EMBED Equation.3   EMBED Equation.3  de unde  EMBED Equation.3 =  EMBED Equation.3 0 + 0  EMBED Equation.3  t +   EMBED Equation.3   EMBED Equation.3  care este cea mai generala forma a legii de miscare in MCUV. Cazuri particulare: 1.  EMBED Equation.3 0 = 0  EMBED Equation.3 = 0  EMBED Equation.3  t +   EMBED Equation.3   EMBED Equation.3  2. 0 = 0  EMBED Equation.3 =  EMBED Equation.3 0 +   EMBED Equation.3   EMBED Equation.3  3.  EMBED Equation.3 0 = 0 = 0  EMBED Equation.3 =   EMBED Equation.3   EMBED Equation.3  Merita remarcata analogia dintre miscarea circulara uniform variata si miscarea rectilinie uniform variata. Gratie analogiei graficele miscarii circulare sunt identice cu graficele miscarii rectilinii, in care in loc de S (S0) se ia  EMBED Equation.3  ( EMBED Equation.3 0 ) , in loc de v(v0) se ia  (0 ) si in loc de a se ia  .     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