Phase difference of damped oscillations

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SUMMARY

The discussion centers on the phase difference of damped oscillations, specifically comparing underdamped and overdamped systems. Participants clarify that in underdamped oscillations, the driven oscillator lags less behind the driving force, while in overdamped systems, increased damping results in a greater lag. The relationship between damping and frequency is emphasized, particularly noting that as frequency increases, the lag in the driven oscillator persists. Understanding forced oscillations and resonance is crucial for grasping these concepts.

PREREQUISITES
  • Understanding of forced oscillations
  • Knowledge of resonance phenomena
  • Familiarity with damped harmonic motion
  • Basic principles of oscillatory systems
NEXT STEPS
  • Research the mathematical modeling of damped oscillations
  • Study the effects of varying damping ratios on system behavior
  • Learn about resonance in mechanical systems
  • Explore phase diagrams for oscillatory motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory systems, as well as educators seeking to clarify concepts of damping and resonance in oscillations.

kelvin macks
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Homework Statement




i can't understand why curve above is for under dampling and the below curve is increased dampling. can someone explain please?
https://www.flickr.com/photos/123101228@N03/14296397365/

Homework Equations





The Attempt at a Solution

 
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Hello K,

Yes, but in order to help you better, some more context would be useful, so please share your own considerations and also give a clue as to where you are in knowing about forced oscillations, resonance, etc. After all your picture comes from somewhere where there is more to be found...

In the mean time: for f < f0 it seems pretty intuitive to me that more damping means that the driven oscillator is lagging behind more: it is being held back, so to say. And then continuing to higher f that tendency has no reason to change.
 
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BvU said:
Hello K,

Yes, but in order to help you better, some more context would be useful, so please share your own considerations and also give a clue as to where you are in knowing about forced oscillations, resonance, etc. After all your picture comes from somewhere where there is more to be found...

In the mean time: for f < f0 it seems pretty intuitive to me that more damping means that the driven oscillator is lagging behind more: it is being held back, so to say. And then continuing to higher f that tendency has no reason to change.

i can't upload the photo directly to this forum . i also don't know why. can you take some time to explain this? i read a lot of online notes but i can't find out why the curve above is for under dampling and the below curve is increased dampling
 

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