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Edutopia Group Title

in simple harmonic motion why does omega squared equal k/m? where does this come from?

  • one year ago
  • one year ago

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  1. John_ES Group Title
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    This comes from the differential eqution of the harmonic motion. The model for a spring, with mass m and elastic constant k, says, \[m\cdot a=-k x\Rightarrow m\frac{d^2x}{dt^2}+kx=0\Rightarrow \frac{d^2x}{dt^2}+\frac{k}{m}x=0\Rightarrow \frac{d^2x}{dt^2}+\omega^2x=0\] Using the last substitution is easy to find the solution \[x=A\cos(\omega t+\phi)\]

    • one year ago
  2. Affaan Group Title
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    i dont understand polarization of x rays plz help me

    • one year ago
  3. Affaan Group Title
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    i want notes on fermi dirac statistics

    • one year ago
  4. John_ES Group Title
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    You can find some interesting notes about Fermi Dirac statistics in the web. For example, http://solar.njit.edu/~leej/lecture/ph641/Ch04_summary.pdf However, I also reommend you the Volume 5 of Berkeley Physics Course (introductory level) and the book from Kittel "Elementary Statistical Physics", Part1, Chapter 19. Other books of higher level (Hwang, Pathria) should be usefull too.

    • one year ago
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