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Homework Help: Harmonic Oscillator- Is this correct?

  1. Jan 24, 2017 #1
    1. The problem statement, all variables and given/known data

    What is the shortest time required for a harmonic oscillator to move from ##x = A## to ##x = \frac{A}{2}##? Express your answer in terms of the period ##T##.

    2. Relevant equations

    ##x(t)=Acos(\omega t)=Acos(2\pi\frac{t}{T})##

    3. The attempt at a solution

    ##A=Acos(0)## which means ##\frac{t}{T}=## whole number
    ##\frac{A}{2}=Acos(\frac{\pi}{3})## which means ##\frac{t}{T}=\frac{1}{6}##
    ##t=\frac{T}{6}##
     
  2. jcsd
  3. Jan 24, 2017 #2

    Charles Link

    User Avatar
    Homework Helper
    Gold Member

    Very good. It looks correct to me.
     
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