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Flashcards

207 midterm 2

Haruka Hmigita@UW.Edu Mathematics English 14 cards

207 midterm 2

Cards in this deck (14)

  1. 1—Forced damped mass springForced damped mass spring
  2. 2—Forced undamped, mass spring, beatsForced undamped, mass spring, beats
  3. 3—Forced undamped, mass spring, resonanceForced undamped, mass spring, resonance
  4. 4—unforced and undampedunforced and undamped
  5. 5—unforced overdamp, mass springunforced overdamp, mass spring
  6. 6—unforced undamped, mass springunforced undamped, mass spring
  7. 7undamped mass spring systemx''+kx=0
    x(t)=Acos(sqrtk*t)+Bsin(sqrtk*t)
  8. 8Amplitudesqrt(C1^2+C2^2)
  9. 9φarctan(C2/C1)
  10. 10period2pi/w
  11. 11damped harmonic oscillatory''+(γ/m)y'+(k/m)y=
  12. 12over dampdy=C1e^(-rt)+C2e^(-rt)
  13. 13over dampedcomplex roots
    y=C1e^rtcos(ωt)+C2e^(rt)sin(ωt)
    y=Ae^(rt)cos(ωt-φ)
    decaying exponential
  14. 14critically dampedC1e^(rt)+C2te^(rt)

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Mathematics Flashcards on 207 midterm 2, created by Haruka Hmigita@UW.Edu on 15/11/2022.
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