Simple Harmonic Motion - Springs

Key Questions

  • Explain how a simple spring is an example of simple harmonic motion?

    Simple harmonic motion is defined as an oscillatory motion where displacement occurs against the direction of a force acting and that force is proportional to the one degree power of displacement.

    That means, #F=-kx# where, #k# is a constant

    Here, #F# is the force acting and #x# is the displacement.

    In case of spring,if we compress it by #x# due to its elastic recoil,restoring force generated is #F=Kx# where,#K# is the spring constant!

    Now,this restoring force tries to return back the original length of the spring,i.e it acts against the direction of displacement caused to it.

    So,the force-displacement relationship turns out to be,

    #F=-Kx#

    Now,you can compare it with equation of S.H.M i.e #F=-kx#

    So,here, #k=K# i.e the spring constant.

    Thereby simple spring motion fulfills the required criteria of being an S.H.M.

    Ashley H · 1 · Aug 11 2018
  • What is simple harmonic motion?

    Answer:

    This a motion where the acceleration is is directly proportional to the displacement and this acceleration is directed to a fixed point.

    Explanation:

    simple harmonic motion(SHM) is isochronous. this means the period of the oscillations is independent of the amplitude. this hold true when the oscillation is undamped .

    Geh · 1 · Jun 14 2018

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