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ECUATIILE OSCILATORULUI LINIAR ARMONIC

ECUATIILE OSCILATORULUI LINIAR ARMONIC. Fie resort elastic care are lungimea l 0 in stare nedeformata. Conform leg ii lui Hooke deformarea unui resort elastic este proportionala cu forta care actioneaza asupra resortului.

shelley-madden
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ECUATIILE OSCILATORULUI LINIAR ARMONIC

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  1. ECUATIILE OSCILATORULUI LINIAR ARMONIC

  2. Fie resort elastic care are lungimea l0 in stare nedeformata. • Conform legii lui Hooke deformarea unui resort elastic este proportionala cu forta care actioneaza asupra resortului. • Forta elastica care ia nastere in resort este deasemenea proportionala cu deformarea resortului dar de sens opus • Fe=-ky • Unde y estedeformarearesortului

  3. Legea miscarii oscilatorului armonic • Se obtineproiectand M. C. U. peaxeleortogonale;

  4. Legea miscarii oscilatoruluiliniar armonic • Se obtineproiectand M. C. U. peaxeleortogonale;

  5. Legeavitezei • Vitezaoscilatoruluiliniararmonic se obtine ca derivata la timp a elongatieisau ca proiectiapedirectiaOy a vitezeipunctului material care se roteste uniform:

  6. Legeaacceleratiei • Acceleratiaoscilatoruluiliniararmoniceste data de derivatavitezei la timpsau de proiectiapedirectiaOy a acceleratieicentripete a punctului material care se roteste uniform:

  7. Unde • y = elongatia • A = amplitudinea • w = pulsatia • j0 = fazainitiala • t = timpul

  8. Perioadaoscilatoruluiliniararmomic • Pornind de la principiul fundamental al dinamiciisiecuatia O. L. A.

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