Oscillations - Harvard University

Chapter 1 OscillationsDavid Morin, wave is a correlated collection of Oscillations . For example, in a transverse wave travelingalong a string, each point in the string oscillates back and forth in the transverse direc-tion (not along the direction of the string). In sound waves, each air molecule oscillatesback and forth in the longitudinal direction (the direction in which the sound is traveling).The molecules don t have anynetmotion in the direction of the sound propagation. Inwater waves, each water molecule also undergoes oscillatory motion, and again, there is nooverall net needless to say, an understanding of Oscillations is required for anunderstanding of outline of this chapter is as follows. In Section we discuss simple harmonicmotion, that is, motioned governed by aHooke s lawforce, where the restoring force isproportional to the (negative of the) displacement.

Equivalently, we are just measuring x relative to x0. We see that any potential looks basically like a Hooke’s-law spring, as long as we’re close enough to a local minimum. In other words, the curve can be approximated by a parabola, ... † ! is the angular frequency.4 Note that x

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  Measuring, Angular

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