?The displacement from rest of a mass attached to a spring satisfies the simple harmonic

Chapter 5, Problem 206

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The displacement from rest of a mass attached to a spring satisfies the simple harmonic motion equation \(x(t)=A \cos (\omega t-\phi)\), where \(\phi\) is a phase constant, \(\omega\) is the angular frequency, and A is the amplitude. Find the average velocity, the average speed (magnitude of velocity), the average displacement, and the average distance from rest (magnitude of displacement) of the mass.

Text Transcription:

x(t)=A \cos (\omega t-\phi)

phi

omega

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