EJSS Simple Harmonic Motion Acceleration Model
http://weelookang.blogspot.sg/2015/01/shm-chapter-10.html?view=flipcard


Acceleration



From v = vo cos ? t = x0 ? cos ? t
where xo is the maximum displacement
differentiating we get

a = d v d t = ? ?2 ( x 0 s i n ? t ) = ? ?2 x





Variation with time of acceleration    
In terms of x:



Therefore,  a = - xo ?2 sin ? t
                  = - ?2 (xo sin ? t)
which is the defining equation for S.H.M. !
              a     = - ?2 x

 
Variation with displacement of acceleration  

since  
   
       a = a0sin ? t          

where ao is the maximum acceleration
where by a0 = ?2 (xo)  



http://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHM10/SHM10_Simulation.xhtml
Model:


http://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHM10/SHM10_Simulation.xhtml