Transcription of Chapter 4 Oscillatory Motion
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Chapter 4 Oscillatory Motion
Chapter 4 Oscillatory The Important Simple Harmonic MotionIn this Chapter we consider systems which have a Motion whichrepeats itself in time, that is,it isperiodic. In particular we look at systems which have some coordinate(say,x) whichhas a sinusoidal dependence on time. A graph this kind of Motion is shown inFig. Suppose a particle has a periodic, sinusoidal Motion on thexaxis, and its motiontakes it betweenx= +Aandx= A. Then the general expression forx(t) isx(t) =Acos( t+ )( )Ais called theamplitudeof the Motion . For reasons which will become clearer later, iscalled theangular frequency. We say that a mass which has a Motion of the type givenin Eq.
Oscillatory Motion 4.1 The Important Stuff 4.1.1 Simple Harmonic Motion In this chapter we consider systems which have a motion which repeats itself in time, that is, it is periodic. In particular we look at systems which have some coordinate (say, x) which has a sinusoidal dependence on time. A graph of x vs. t for this kind of motion is shown in
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