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"There is nothing either good or bad, but thinking makes it so." ..."Shakespeare (154-1616, English dramatist and poet) "

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 Author Topic: EJSS Simple Harmonic Motion Acceleration Model  (Read 3755 times) 0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
lookang
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 « Embed this message on: February 15, 2015, 01:35:55 pm » posted from:New York,New York,United States

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

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
 SHMavsx.gif (259.41 KB, 640x304 - viewed 308 times.) *** There are 2 more attached files. You need to login to acces it! Logged
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"There is nothing either good or bad, but thinking makes it so." ..."Shakespeare (154-1616, English dramatist and poet) "