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Unformatted text preview: Writeanduploadthefunctiondescribedbelowtotheclasswebsite.Inorder toreceivefullcredit,yourfunctionmusthaveproperformatting,run,andgive thecorrectoutput. Considertheforcedoscillationofablockofmassmonaspringwithspringconstant k.Themotionoftheblockisgovernedbythesecondorderordinarydifferential equation d2x F 2 = - o x + o cos(t) 2 dt m wherexisthedisplacementoftheblockawayfromequilibrium,tistime,misthe massoftheblock,o=(k/m)1/2istheangularfrequencyofspringblocksystem, istheangularfrequencyofthedrivingforce,andFoisthemaximumforce deliverablebythedrivingforce. Att=0,xo=0mandvo=0m/sec.Furthermore,o==2*5Hz,i.e.takethe systemtobeinresonance.Finally,Fo/m=600N/kg. Useode45inMATLABandtheinitialconditionsabovetosolvethedifferential equationforx(t).Plotx(t)overtherange0t3sec.Beabletodescribethe changeinamplitudeoftheoscillationsastimeincreasedfrom0to3seconds? IntroductiontoComputationalPhysics Phy265Quiz7(TakeHome) Due12:40p.m.March28,2011 1 ...
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