1.2.4 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)  


1.2.3.1 Model:

  1. Run Sim
  2. http://iwant2study.org/ospsg/index.php/74