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Oscillations - UMD

1 Oscillations Simple Harmonic Motion (SHM) Position, Velocity, Acceleration SHM Forces SHM Energy Period of oscillation Damping and Resonance2 Revision problemPlease try problem #31 on page 480A pendulum clock keeps time by the swinging of a uniform solid Harmonic Motion Pendulums Waves, tides Springs4 Simple Harmonic MotionRequires a force to return the system back toward equilibrium Spring Hooke s Law Pendulum and waves and tides gravityOscillation about an equilibrium position with a linear restoring force is always simple harmonic motion(SHM)

Damped Oscillations The time constant, τ, is a property of the system, measured in seconds •A smaller value of τmeans more damping –the oscillations will die out more quickly. •A larger value of τmeans less damping, the oscillations will carry on longer. /W max ( ) x t Ae t

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