Effects of Air Resistance on Simple Harmonic Motion Graphs

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SUMMARY

The discussion centers on the effects of air resistance on graphs representing simple harmonic motion (SHM). It is established that the inclusion of air resistance results in a decrease in amplitude across all relevant graphs: position vs. time, velocity vs. time, acceleration vs. time, and energy vs. time. The damping phenomenon affects all graphs, as energy loss due to air resistance prevents complete conversion of potential energy into kinetic energy during each oscillation.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM)
  • Familiarity with graph interpretation in physics
  • Knowledge of energy transformations in mechanical systems
  • Basic principles of damping in oscillatory motion
NEXT STEPS
  • Research the mathematical modeling of damping in simple harmonic motion
  • Explore the effects of different types of damping (e.g., viscous damping) on SHM
  • Learn about energy loss mechanisms in oscillatory systems
  • Investigate experimental methods to measure air resistance in oscillatory motion
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in the dynamics of oscillatory systems affected by external forces like air resistance.

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Homework Statement


I'm given the position vs. time, velocity vs. time, acceleration vs. time, and energy vs. time graphs for a simple harmonic motion, and I want to know what would happen to those graphs if air resistance is included?


Homework Equations



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The Attempt at a Solution



I'm thinking that when air resistance is included, the amplitudes would decrease for all of these graphs. Does the damping phenomenon apply to all, or just the energy vs. time graph?

Thank you!
 
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You would be correct in thinking that all graphs decrease in amplitude. What made you think it only applied to energy vs time?
 
When there is not air resistance, potential energy is completely transformed into kinetic energy with each successive period. However, when air resistance is present, a fraction of the energy is lost and cannot be converted into kinetic energy.
 

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