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Simple Harmonic Motion

  1. Nov 4, 2009 #1
    1. Angular frequency is introduced into the analysis of simple harmonic motion because:



    1. Because the unit of hz is not a convnient unit for frquency. 2. to create a mathematical relationship between displacement and time. 3. To create a link between mass and frequency of vibration. 4. Because vibration is naturally circular



    3. I think 4. Naturally circular
     
  2. jcsd
  3. Nov 4, 2009 #2

    Andrew Mason

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    Try 2. The reason angular frequency is used in simple harmonic motion is mathematical - SHM is described mathematically by a sinusoidal function. The general solution to the differential equation:

    [tex]\ddot s = - ks[/tex]

    is a sin wave [itex]s = Asin(\omega t + \phi)[/itex] So the position, s, varies with time exactly the same way that the sin of the angle varies when something undergoes uniform circular motion.

    AM
     
  4. Nov 4, 2009 #3
    Advice appreciated
     
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