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Homework Help: Simple Harmonic Motion of bobble toy

  1. Dec 1, 2014 #1
    *note: my previous thread will be deleted because I didn't include relevant equations + I put two unrelated problems in the same thread.

    1. The problem statement, all variables and given/known data

    A cat bobble head doll consists of a weighted head on top of a spring. When the head hangs straight sown in equilibrium, it is observed that the spring stretches 2cm. When the head is displaced upward by 1 cm, it is observed to oscillate with a frequency of 3 Hz.

    a) Find the spring constant of the bobble head
    b) Find the mass of the bobble head
    2. Relevant equations

    T = 2pi square root (m/k)

    3. The attempt at a solution

    I tried to use the formula T = 2pi square root(m/k) to find m and k but I cannot use this because the mass and k are not given.
  2. jcsd
  3. Dec 1, 2014 #2


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    2017 Award

    No, but you know that the spring stretches 2 cm under a force mg. What does that tell you about the relationship between k and m ?
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