Transcription of Chapter 4 Oscillatory Motion
{{id}} {{{paragraph}}}
Example: biology
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. undergoessimple harmonic we see that when the timetincreases by an amount2 , the argument of thecosine increases by 2 and the value ofxwill be the same.
(b) Motion of the mass as seen by the guy with the big nose. The projection of the motion is the same as simple harmonic motion with angular frequency ω and amplitude R. q L m (a) CM Pivot d (b) q I, M Figure 4.5: (a) Simple pendulum. (b) Physical pendulum. In 4.4 (b) we show the motion of the mass as it would be seen by someone looking
Loading..
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: