NTNUJAVA Virtual Physics Laboratory
Enjoy the fun of physics with simulations!
Backup site http://enjoy.phy.ntnu.edu.tw/ntnujava/
February 20, 2018, 06:36:51 pm *
Welcome, Guest. Please login or register.
Did you miss your activation email?

Login with username, password and session length
 
   Home   Help Search Login Register  
Wisdom consists of the anticipation of consequences. ..."Norman Cousins(1913-1990, American author)"
Google Bookmarks Yahoo My Web MSN Live Netscape Del.icio.us FURL Stumble Upon Delirious Ask FaceBook

Pages: [1]   Go Down
  Print  
Author Topic: EJSS Simple Harmonic Motion Velocity Model  (Read 936 times)
0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
lookang
Moderator
Hero Member
*****
Offline Offline

Posts: 1782


http://weelookang.blogspot.com


WWW
«
Embed this message
on: February 15, 2015, 01:33:11 pm » posted from:New York,New York,United States

EJSS Simple Harmonic Motion Velocity Model



From x = xo sin ω t
differentiating we get



v = d x d t = x 0 ω  s i n  ωt  = v
0 cos ω twhere  v0 = x0 ω  is the maximum velocity




Variation with time of velocity 
In terms of x:

 
From mathematical identity  cos2 ωt + sin2 ωt = 1,
rearranging
cos2 ωt  = 1 - sin2 ωt
c o s ω t = ±( 1 − s i n 2 ω
  t )
 
since
v  =  x0ω cos ωt
where x0 is the maximum displacement
v = ±x 0 ω( 1 − s i n 2 ωt )
 
 
v = ±x 0 ω( 1 − ( x x 0 ) 2 )

v = ±ω( x 0 2 − x 2 )


 
 
Variation with displacement of velocity


http://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHM09/SHM09_Simulation.xhtml


Model:


http://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHM09/SHM09_Simulation.xhtml


* SHMvvsx.gif (264.31 KB, 640x304 - viewed 235 times.)

*** There are 2 more attached files. You need to login to acces it!
Logged
Pages: [1]   Go Up
  Print  
Wisdom consists of the anticipation of consequences. ..."Norman Cousins(1913-1990, American author)"
 
Jump to:  


Related Topics
Subject Started by Replies Views Last post
relations between simple harmonic motion and circular motion
Kinematics
Fu-Kwun Hwang 2 37266 Last post April 15, 2016, 11:21:50 pm
by lookang
relations between simple harmonic motion and circular motion
kinematics
ahmedelshfie 2 11125 Last post September 27, 2010, 05:40:33 pm
by ahmedelshfie
relation between Circular motion and Simple Harmonic Motion (SHM)
Dynamics
Fu-Kwun Hwang 0 7276 Last post February 27, 2011, 10:02:24 am
by Fu-Kwun Hwang
EJSS Circular Motion to Simple Harmonic Motion Model
Collaborative Community of EJS
lookang 0 1225 Last post February 15, 2015, 01:13:33 pm
by lookang
EJSS Simple Harmonic Motion Acceleration Model
Collaborative Community of EJS
lookang 0 3131 Last post February 15, 2015, 01:35:55 pm
by lookang
Powered by MySQL Powered by PHP Powered by SMF 1.1.13 | SMF © 2006-2011, Simple Machines LLC Valid XHTML 1.0! Valid CSS!
Page created in 0.051 seconds with 23 queries.since 2011/06/15