SHM: Frequency & Period Unaffected by Amplitude

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SUMMARY

The frequency and period of Simple Harmonic Motion (SHM) are independent of amplitude, as established in classical mechanics. Increasing the amplitude of a simple harmonic oscillator does not alter its frequency or period because the speed of the oscillator adjusts accordingly. This counterintuitive relationship ensures that despite larger displacements, the time taken for one complete cycle remains constant. The discussion highlights the fixed nature of frequency and period in SHM, regardless of amplitude changes.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Familiarity with concepts of frequency and period
  • Basic knowledge of oscillatory motion
  • Concept of displacement in physics
NEXT STEPS
  • Study the mathematical derivation of SHM equations
  • Explore the relationship between amplitude, frequency, and energy in oscillators
  • Investigate real-world applications of SHM in engineering
  • Learn about damping effects on SHM and their impact on frequency
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Students of physics, educators teaching mechanics, and anyone interested in the principles of oscillatory motion and their applications in real-world scenarios.

gkangelexa
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The frequency and the period of Simple harmonic motion don't depend on the amplitude. Meaning that changing the amplitude of a simple harmonic oscillator doesn't affect its frequency..


amplitude is the max displacement. Doesn't it make sense that if the max displacement is larger, then time will increase and frequency will decrease??
 
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gkangelexa said:
amplitude is the max displacement. Doesn't it make sense that if the max displacement is larger, then time will increase and frequency will decrease??
If the speed remained fixed, then that reasoning would work. But the speed doesn't remain fixed. With a greater amplitude, the object ends up moving faster along the path. Interestingly, that increased speed is exactly enough to keep the period and frequency constant.
 
cool! thanks! do we know why that happens? or is that a philosophical question?
 

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