Frequency of a simple harmonic oscillator

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SUMMARY

The characteristic frequency of a simple harmonic oscillator can be calculated using the formula \(\omega^{2} = \frac{K}{M}\), where \(K\) is the spring constant and \(M\) is the mass. In this case, with a mass of 1 kg and a spring constant of 10 N/m, the frequency can be determined by first calculating \(\omega\) and then converting it to frequency \(f\) using the relation \(\omega = 2 \cdot \pi \cdot f\). The discussion emphasizes the importance of referring to textbooks and class notes for foundational concepts related to spring-mass oscillation.

PREREQUISITES
  • Understanding of Hooke's Law
  • Familiarity with the concepts of mass and spring constant
  • Knowledge of angular frequency and its relationship to frequency
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation of the formula \(\omega^{2} = \frac{K}{M}\)
  • Learn how to apply Hooke's Law in various scenarios
  • Explore the concept of damping in harmonic oscillators
  • Review examples of simple harmonic motion from textbooks or online resources
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators looking for teaching resources on simple harmonic oscillators.

AdrianHudson
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Homework Statement



Consider a mass hanging from an ideal spring. Assume the mass is equal to 1 kg and the spring constant is 10 N/m. What is the characteristic frequency of this simple harmonic oscillator?

Homework Equations


No idea I think Hookes law
F=-ky
Some other relevant equations?
\omega^{2} = K/M

The Attempt at a Solution


No idea where to start. Some guidance on steps would be helpful! thanks
 
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Also note that \omega = 2 \cdot \pi \cdot f. You now have all the tools, just solve!
 
AdrianHudson said:

Homework Statement



Consider a mass hanging from an ideal spring. Assume the mass is equal to 1 kg and the spring constant is 10 N/m. What is the characteristic frequency of this simple harmonic oscillator?

Homework Equations


No idea I think Hookes law
F=-ky
Some other relevant equations?
\omega^{2} = K/M

The Attempt at a Solution


No idea where to start. Some guidance on steps would be helpful! thanks

You must show some effort before we can be of much tutorial help. Look at your textbook and class notes -- they should contain the material about spring-mass oscillation. You can also look at this wikipedia page:

http://en.wikipedia.org/wiki/Simple_harmonic_motion

That should get you going. Please show us your work.
 

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