About: Simple Harmonic Motion   Sponge Permalink

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You might never have heard of simple harmonic motion, but chances are you have experienced its effects countless times. Have you ever been on a swing or jumped up and down on the edge of a diving board? Then you're well acquainted with simple harmonic motion (or SHM for short).

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  • Simple Harmonic Motion
  • Simple harmonic motion
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  • You might never have heard of simple harmonic motion, but chances are you have experienced its effects countless times. Have you ever been on a swing or jumped up and down on the edge of a diving board? Then you're well acquainted with simple harmonic motion (or SHM for short).
  • Simple harmonic motion is a type of oscillatory motion where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of the displacement (see Hooke's law). This becomes the following differential equation: which results in the following solution: where A is the amplitude, ω is the angular frequency, equal to 2πf, and φ is the phase. ω is equal to From this equation, velocity and acceleration can easily be found. The total energy of the system at any time is
  • You may never have heard of simple harmonic motion, but chances are you have experienced its effects countless times. Have you ever been on a swing or jumped up and down on the edge of a diving board? Then you're well acquainted with simple harmonic motion (or SHM for short).
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abstract
  • You might never have heard of simple harmonic motion, but chances are you have experienced its effects countless times. Have you ever been on a swing or jumped up and down on the edge of a diving board? Then you're well acquainted with simple harmonic motion (or SHM for short).
  • Simple harmonic motion is a type of oscillatory motion where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of the displacement (see Hooke's law). This becomes the following differential equation: which results in the following solution: where A is the amplitude, ω is the angular frequency, equal to 2πf, and φ is the phase. ω is equal to From this equation, velocity and acceleration can easily be found. The total energy of the system at any time is
  • You may never have heard of simple harmonic motion, but chances are you have experienced its effects countless times. Have you ever been on a swing or jumped up and down on the edge of a diving board? Then you're well acquainted with simple harmonic motion (or SHM for short).
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