Tuesday, January 13, 2015

SHM Chapter 10 a with x

Acceleration



From v = vo cos ω t = x0 ω cos ω t
where xo is the maximum displacement
differentiating we get
  a = d v d t = ω2 ( x 0 s i n ω t ) = ω2 x



Variation with time of acceleration   

In terms of x:



Therefore,  a = - xo ω2 sin ω t
                   = - ω2 (xo sin ω t)
which is the defining equation for S.H.M. !
               a     = - ω2 x

 
Variation with displacement of acceleration 

since 
   
        a = – a0sin ω t         

where ao is the maximum acceleration
where by a0 = ω2 (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