Simple Harmonic motion with a compound mass spring system

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SUMMARY

The discussion centers on calculating the angular frequency of a compound mass-spring system consisting of two springs with different masses and spring constants. The correct formula for angular frequency is given as omega = (k/m)^(1/2). Participants confirm that if the springs act in the same direction, they can be combined into one effective spring, allowing for the calculation of angular frequency using the combined spring constant and mass.

PREREQUISITES
  • Understanding of simple harmonic motion principles
  • Familiarity with spring constants and mass in mechanical systems
  • Knowledge of angular frequency versus angular velocity
  • Basic algebra for combining spring constants and masses
NEXT STEPS
  • Study the derivation of angular frequency in simple harmonic motion
  • Learn about effective spring constants in series and parallel configurations
  • Explore the differences between angular frequency and angular velocity
  • Investigate real-world applications of compound mass-spring systems
USEFUL FOR

Physics students, mechanical engineers, and anyone studying dynamics of oscillatory systems will benefit from this discussion.

striker300
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Homework Statement


For my problem, I have two springs that have the same length, but different masses and spring constants. Both springs are secured at one end to a holder and at the other ends are connected to a single mass.

My question is how do I find the angular velocity? Since the equation for angular velocity is...

omega=(k/m)^(1/2)

My instincts are telling me to just imagine the two springs as one whole spring and combine their mass and spring constant up. Am I on the right track here or would this not be plausable?

Homework Equations



using the angular velocity formula

The Attempt at a Solution

 
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If the two springs are acting in the same direction, then yes, you can combine the two into one "effective spring."

By the way, that's angular frequency, not angular velocity.
 
Thank you for the wisdom and the correction of terminology :D
 

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