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Chapter 15 Oscillations and Waves

Chapter 15 Oscillations and WavesMFMcGraw-PHY 2425 Chap 15Ha- Oscillations -Revised 10/13/20122 Oscillations and Waves Simple Harmonic motion Energy in SHM Some Oscillating Systems Damped Oscillations Driven Oscillations ResonanceMFMcGraw-PHY 2425 Chap 15Ha- Oscillations -Revised 10/13/20123 Simple Harmonic MotionSimple harmonic motion (SHM) occurs when the restoring force (the force directed toward a stable equilibrium point) is proportional to the displacement from 2425 Chap 15Ha- Oscillations -Revised 10/13/20124 Characteristics of SHM Repetitive motion through a central equilibrium point. Symmetry of maximum displacement. Period of each cycle is constant. Force causing the motion is directed toward the equilibrium point (minus sign). F directly proportional to the displacement from = - 2 x DisplacementMFMcGraw-PHY 2425 Chap 15Ha- Oscillations -Revised 10/13/20125A Simple Harmonic Oscillator (SHO)Frictionless surfaceThe restoring force is F = 2425 Chap 15Ha- Oscillations -Revised 10/13/20126 Frictionless surfaceTwo Springs with Different AmplitudesMFMcGraw-PHY 2425 Chap 15Ha- Oscillations -Revised 10/13/20127 SHO Period is I

• Repetitive motion through a central equilibrium point. • Symmetry of maximum displacement. • Period of each cycle is constant. • Force causing the motion is directed toward the equilibrium point (minus sign). • F directly proportional to the displacement from equilibrium. Acceleration = - ω2 x Displacement

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