PHYS 105 1nd Edition Lecture 5 Outline of Last Lecture I. Hooke’s Law and Simple Harmonic MotionOutline of Current Lecture II. More Vibration Systems a. FormulasIII. Modes of Oscillations a. FormulasCurrent LectureI. More Vibration Systems (Similar Simple Harmonic Motion)- Amplitude Vibration of Pendulum o F = (12 π)√gl l = length of the pendulum - Spring of air; mass moving in cylinder area o F = (12 π)√γραml M = Mass of piston L = Length A = Area P = Pressure Y = Adiabatic gas constant - Helmholtz Resonator o F = (v2 π)√avl V = Speed of wave A = Area of neck L = ‘Effective’ length of neck V = Volume of resonator II. Modes of Oscillations [Standing waves, resonances]- Single mass = 1 Resonance Frequency - Two masses = 2 modes These notes represent a detailed interpretation of the professor’s lecture. GradeBuddy is best used as a supplement to your own notes, not as a substitute.of =(12 π)√kmof =(12 π)√3 km- 3 masses = 3 resonance modes o The number of modes correlates with the number of masses - Standing wave modes are also known as normal modes- IF masses are uniformly distributed; the number of modes = infinity o Resonance frequency depends on geometry and boundary
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