Mark William
File type: PowerPoint
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Last update: 4 months ago
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Damped and Driven Harmonic Motion: Understanding Oscillators, Resonance, and Damping Effects
This PowerPoint discusses damped and driven harmonic motion, which are real-world extensions of simple harmonic motion. It introduces the effect of damping forces (such as friction and air resistance) on oscillators, resulting in an equation of motion that includes a drag force term (F = -bv). The presentation covers underdamped motion, where the amplitude decays exponentially but the period remains largely unchanged, and discusses critical and over-damping scenarios. The damped-driven oscillator is introduced, where an external driving force influences the system. The concept of resonance is explored, highlighting how the amplitude increases when the driving frequency matches the oscillator′s natural frequency, such as in the Tacoma Narrows Bridge collapse.