04 - Chapter 13: Oscillatory (Periodic) motion Springs...

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Unformatted text preview: Chapter 13: Oscillatory (Periodic) motion Springs Hookes Law Hookes Law: The force exerted by a spring is proportional to the distance the spring is stretched or compressed from its relaxed position. F = - k x If we stretch or compress a spring with a mass attached to one of its ends relative to its equilibrium position and let it go, the mass will oscillate back and forth. If there is no friction, this periodic motion will perpetuate. This oscillation is called Simple Harmonic Motion , and is actually easy to understand... Simple Harmonic Motion (SHM) Characteristics of SHM Amplitude, A maximum displacement from the equilibrium position. Period, T time, necessary for completing one cycle of the oscillatory motion (or for the object to return to a given staring position). Frequency, f inversely proportional to T. Simple Harmonic Motion (SHM) k x m F = -kx a d 2 x dt 2 = - k m x a differential equation for x(t) !...
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04 - Chapter 13: Oscillatory (Periodic) motion Springs...

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