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Easy Java Simulations (2001- ) => Collaborative Community of EJS => Topic started by: lookang on February 15, 2015, 01:35:55 pm



Title: EJSS Simple Harmonic Motion Acceleration Model
Post by: lookang on February 15, 2015, 01:35:55 pm
EJSS Simple Harmonic Motion Acceleration Model
http://weelookang.blogspot.sg/2015/01/shm-chapter-10.html?view=flipcard
[lookangframe name=SHM10]

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