08-10-2008_C2601_Lecture

08-10-2008_C2601_Lecture - For light damping, motion is...

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Damped Harmonic Motion Fall 2008 Physics C2601 (Physics III.) CLASSICAL AND QUANTUM WAVES September 10, 2008 Class: 428 Pupin Laboratories, Mondays and Wednesdays 9:15am – 10:30am CourseWorks ( https://courseworks.columbia.edu ) Instructor: Szabolcs Márka, physics.class@gmail.com , (212)854-8209, 1009 Pupin Lab
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Damped Harmonic Motion
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September 14, 2008 3 Damped Harmonic Motion (spring) Look at a drag force that is proportional to velocity ( b is the damping coefficient): Then the equation of motion is: Trial solution α and ω ´ need to be found:
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September 14, 2008 4 Solving,
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Unformatted text preview: For light damping, motion is oscillatory within an exponential envelope: Damped Harmonic Motion September 14, 2008 5 For heavier damping, but still underdamped , we have the green curve: Damped Harmonic Motion September 14, 2008 6 When , Damped Harmonic Motion September 14, 2008 7 This is critical damping, and the value of b for which this occurs is b c : When b > b c , overdamped When b < b c , underdamped Damped Harmonic Motion Exponential envelope has time constant: Define the quality factor Q: lifetime or mean life...
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This note was uploaded on 09/27/2008 for the course PHYS 2601 taught by Professor Marka during the Spring '08 term at Columbia.

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08-10-2008_C2601_Lecture - For light damping, motion is...

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