Effects of Air Resistance on Simple Harmonic Motion Graphs

AI Thread Summary
Including air resistance in simple harmonic motion graphs results in a decrease in amplitude across position, velocity, acceleration, and energy graphs. This damping effect applies to all graphs, not just the energy vs. time graph. Without air resistance, potential energy is fully transformed into kinetic energy each period, but air resistance causes energy loss. As a result, the motion becomes less efficient over time. Understanding these effects is crucial for accurately analyzing the dynamics of simple harmonic motion in real-world scenarios.
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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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