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Resonance oscillate help

  1. Dec 9, 2006 #1
    Why does an oscillating system under resonance oscillate with the largest amplitude? And why does resonance occur when the driving frequency match the natural frequency? Can resonance occur at frequency other than natural frequency?
  2. jcsd
  3. Dec 9, 2006 #2
    Because, in absence of a damping force, the driving force and the velocity of the system have the exact same direction. Therefore, a positive amount of work is constantly being done, and therefore, the mechanical energy of the system is increasing.
    So, the amplitude will, in absence of a damping force, increase without limit.

    Because, since the driving frequency matches the natural frequency, the direction of the driving force matches the direction of the oscillating system's frequency.

    I'm pretty sure it can't.
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