# NTNUJAVA Virtual Physics LaboratoryEnjoy the fun of physics with simulations! Backup site http://enjoy.phy.ntnu.edu.tw/ntnujava/

## Easy Java Simulations (2001- ) => Collaborative Community of EJS => Topic started by: lookang on February 15, 2015, 01:33:11 pm

 Title: EJSS Simple Harmonic Motion Velocity Model Post by: lookang on February 15, 2015, 01:33:11 pm EJSS Simple Harmonic Motion Velocity Model[lookangframe name=SHM09]From x = xo sin ω tdifferentiating we getv = d x d t = x 0 ω  s i n  ωt  = v0 cos ω twhere   v0 = x0 ω    is the maximum velocityVariation with time of velocity   In terms of x:            From mathematical identity     cos2 ωt + sin2 ωt = 1, rearrangingcos2 ωt       = 1 - sin2 ωt c o s ω t = ±( 1 − s i n 2 ω  t )       sincev       =  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 velocityhttp://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHM09/SHM09_Simulation.xhtmlModel:http://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHM09/SHM09_Simulation.xhtml