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Unformatted text preview: Phys 211 4/20/09 Chapter 15 Oscillations Oscillations Describe displacement , velocity , acceleration Backandforth motion Consider kinetic and potential energy Oscillators: Simple Harmonic Oscillator (SHO) Damped Oscillator Forced Oscillations, Resonance Examples: springmass system, simple pendulum, physical pendulum, torsional pendulum Simple Harmonic Motion (SHM) Displacement Displacement is periodic (changes as a function of time) Periodic Function Amplitude x m extremum of wave motion Period T  time to complete one cycle of motion Phase offset of one curve to another (or from origin) These waves have the same period, are inphase. They have different amplitudes. These waves have the same amplitude. They are in phase (phase angle=0 deg) as the origin and completely out of phase (phase angle=180 deg) after T`. Angular Frequency x ( t ) = x m cos( t + ) x ( t ) = x m cos( t ) x ( t + T ) = x m cos( ( t + T )) x ( t ) = x ( t + T ) ( t + T ) = t + 2 t +...
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 Spring '08
 PETTIE
 Acceleration, Energy, Force, Potential Energy

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