Simple Harmonic Motion and Wave Motion

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SUMMARY

This discussion centers on the concepts of Simple Harmonic Motion (SHM) and wave motion, specifically addressing the calculation of period and frequency. The parameter \(\omega\) represents angular velocity, while \(\phi\) denotes the phase angle, which shifts the sine wave in time. Understanding these parameters is crucial for grasping the behavior of sinusoidal waves. The provided resource from HyperPhysics offers additional clarification on these topics.

PREREQUISITES
  • Understanding of sinusoidal functions (sine and cosine)
  • Familiarity with angular velocity (\(\omega\))
  • Knowledge of phase angle (\(\phi\)) in wave motion
  • Basic concepts of Simple Harmonic Motion (SHM)
NEXT STEPS
  • Study the relationship between frequency and period in SHM
  • Explore the mathematical derivation of SHM equations
  • Learn about the energy conservation in Simple Harmonic Motion
  • Investigate real-world applications of SHM in physics
USEFUL FOR

Students studying physics, educators teaching wave motion concepts, and anyone seeking to deepen their understanding of Simple Harmonic Motion and its applications.

Commodore
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Hi,

I was wondering if anyone could explain Simple Harmonic Motion. My physics teacher has tried and I have read the parts in the book, but I am still confused. I know how to find the amplitude from the standard form equations, but I really just don't understand how to get the period and the frequencies. Does it have something to do with the [tex]\omega[/tex]t+[tex]\phi[/tex] thing or am I just way off? (If it doesn't, please explain what [tex]\omega[/tex]t+[tex]\phi[/tex] tells you.) Thank you!

-- Commodore
 
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For a sinusoidal (sin or cos) wave, the parameter [itex]\omega[/itex] is the angular velocity and multiplied by t gives an angular position which is linear with time - [itex]\omega[/itex]t is always increasing. The other parameter in the argument, [itex]\phi[/itex], is the phase angle, which simply shifts the sine wave in time.

See if this helps - http://hyperphysics.phy-astr.gsu.edu/hbase/shm.html
 
Thank you very much for the information. I am about to see if I understand it by taking my last test (before the final).
 

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