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1、THESIMPLEPENDULUM:ACLASSICCASESTUDYThepurposeofthesimplependulumistoresearchthefactorsofperiodandmeasuretheperiod.Inordertodothisexperiment,weshouldprepareforsomematerialsincludesomedifferentpendulumbobswithdifferentmass,alongpendulumstring,apencil,amobile
2、phonewithastopwatch,arulerandaninclinometer.Ourteamchoosesanironbobandacopperbob.Wethinktheheavierbobscanhelpusfinishthisexperiment.Ofcourse,itdoesn’thaveawork.Firstly,wemakethelongstringthroughthecopperbob,andtiethebob.Then,weputthestringaroundthepencil,s
3、owecancontrolthelengthofstringoptionally.Lastly,weputthepencilonthesideofthetable.Asimplependulumapparatusisfinished.Afterfinishingtheapparatus,westartedtodotheexperiment.Whatarefactorswillinfluencetheperiod?Therewillbethreefactors:theanglebetweentheorigin
4、alpositionofstringandupright,themassofbobandthelengthofpendulumstring.Therefore,wecontroltheincidenceangleis30degreesandthelengthofpendulumstringis20centimetersinthefirstexperiment.Whenonememberreleasesthecopperbobfromtheoriginalposition,anothermemberstart
5、sthestopwatch.Afterthebobfinishes30cycles,thememberstopsthestopwatchrightnow.Thenumberonthescreenisthetimefor30cycles.Thenwechangetheangleandlengthandbobtorepeatthestepswefinishedjustnow.Whenwefinishallthesteps,wehavesomedifferentrecords,andwedrawachartfor
6、therecords.Thisisthechart.numberMassofbob(gram)Angle(degree)Length(cm)Time(second)1Copper72302028.266272202028.105372102027.924472103032.800572104037.1506Iron95102028.117795202028.109895302027.986Now,weshouldanalyzethesedata.Firstofall,welookatthenumber1to
7、number5.Wejustuseacopperbob.Inotherword,wecan’tchangethemassofpendulumbob.Fromnumber1to3,onlytheangleischanged.Whenwechangeanotherbob,thetimehasnochange.Wecansaythatmaybetheangleisnotthefactor,butweshouldhaveafatheranalysis.Comparednumber3,number4andnumber
8、5,wefindthatthetimechangeswiththechangingoflengthofbob.So,wecanhaveaconclusionthatthelengthofbobisoneofthefactors.Atpresent,wewillexploretheconnectionbetweenthemassandperiod.Sowekeeptheangleandlengthconstanta