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Author Topic: EJSS Simple Harmonic Motion Acceleration Model  (Read 2791 times)
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on: February 15, 2015, 01:35:55 pm » posted from:New York,New York,United States

EJSS Simple Harmonic Motion Acceleration Model


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

   a = – a0sin ω t

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



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