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I The simple connections SHM

  1. Nov 25, 2016 #1
    Revisiting my general physics notes, I noticed that you just need Newton's second law and knowing Hooke's law to predicting the motion of a simple pendulum and that of a physical pendulum. For the simple pendulum, simply consider the tangential component of the force with some trig expressions such as the small angle approximation sin(theta) = theta and theta = x/L where x is the distance covered and L the length of the pendulum. For the physical pendulum, just used newton's 2nd law in terms of torque.


    Is there anything else that you think I am missing?
     
  2. jcsd
  3. Nov 25, 2016 #2

    hilbert2

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    The pendulum motion obeys Hooke's law only if you make the small-amplitude approximation (##\sin \theta \approx \theta##). If the motion goes through something like a 60 degree angle, you need elliptic functions to write down the trajectory of the system.
     
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