Turning points of a classical harmonic oscillator

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SUMMARY

The turning points of a classical harmonic oscillator are defined as the positions where the potential energy equals the total energy. At these points, the kinetic energy is zero, indicating that the oscillator momentarily comes to rest before reversing direction. This occurs at maximum displacement, where potential energy reaches its peak. Understanding these concepts is crucial for analyzing the motion of harmonic oscillators in classical mechanics.

PREREQUISITES
  • Classical mechanics fundamentals
  • Understanding of potential and kinetic energy
  • Knowledge of harmonic motion
  • Familiarity with energy conservation principles
NEXT STEPS
  • Study the equations of motion for harmonic oscillators
  • Explore energy conservation in oscillatory systems
  • Learn about the mathematical representation of potential energy in harmonic oscillators
  • Investigate the effects of damping on harmonic motion
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Students of physics, educators teaching classical mechanics, and anyone interested in the dynamics of oscillatory systems.

ehrenfest
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Homework Statement


The turning points of a classical harmonic oscillator occur when the potential energy is equal to the total energy, correct?

Homework Equations





The Attempt at a Solution

 
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ehrenfest said:

Homework Statement


The turning points of a classical harmonic oscillator occur when the potential energy is equal to the total energy, correct?

Because kinetic energy and thus velocity is then zero. (Alternatively, for the classical oscillator, maximum PE would be at maximum displacement, which defines a "turning point".)
 

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