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Homework Help: Why the time is the quarter of a period?

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  1. Feb 11, 2016 #1
    1. The problem statement, all variables and given/known data
    When the brick with mass 3 kg is hanged in a spring, it is lengthened 25 cm. If we lengthen the spring with 15 cm more and leave it free how may times does the brick take to come back to the equilibrium position

    2. Relevant equations
    In the solution it says t=T/4

    3. The attempt at a solution
    I understand d the other part, but why is t=T/4 (t-time, T-period)
     
  2. jcsd
  3. Feb 12, 2016 #2

    haruspex

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    Consider three positions, the lowest position of the oscillations (i.e. the release position), the equilibrium position, and the highest oscillation position. If it takes time t to rise from lowest to equilibrium, how long will it take to return to the lowest position?
     
  4. Feb 12, 2016 #3
    This diagram might help?
    2uppnya.gif
     
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