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1、彈簧振子簡(jiǎn)諧振動(dòng)的研究姓名:史振鵬學(xué)號(hào):200902050201班級(jí):09物理摘要:本文主要講述了彈簧振子作簡(jiǎn)諧振動(dòng)的研究的實(shí)驗(yàn)原理、實(shí)驗(yàn)內(nèi)容以及所得到的結(jié)論,在實(shí)驗(yàn)中我們主要研究了五根質(zhì)量、大小等不同的彈簧在鉛直方方向上的C值與K值,經(jīng)過(guò)對(duì)實(shí)驗(yàn)數(shù)據(jù)的處理,最后得到實(shí)驗(yàn)結(jié)論。Summary:?Thisarticlemainlydiscussesthespringoscillatorforsimpleharmonicvibrationstudyofexperimentalprinciples,contents,andthe
2、resultingconclusions,weprimarilylookedatfiveintheexperimentalquality,size,andsodifferentspringsinverticaldirection?C?Valuesand?K?Valueafterprocessingofexperimentaldata,andfinallybytheexperimentconcluded.關(guān)鍵詞:彈簧振子勁度系數(shù)有效質(zhì)量周期Keywords:?Springoscillator?Stiffnesscoeffi
3、cientof?effectivemass?cycle引言:在學(xué)習(xí)中我們經(jīng)常會(huì)碰到與彈簧振子有關(guān)的物理情景,也經(jīng)常提到勁度系數(shù)與彈簧振子的有效質(zhì)量,那么彈簧的勁度系數(shù)與有效質(zhì)量到底與什么有關(guān)?本文將從實(shí)驗(yàn)入手系統(tǒng)的研究一下彈簧的K值與C值。Introduction:weoftencomeintocontactwiththespringzhenziinthestudyonthephysicalscenealsofrequentlymentionedstiffnessfactorcoefficientwitheffectiv
4、equalityspringzhenzi,thenspringsstiffnessfactorfactorandeffectivequalityrelatedtowhatthehell?Thispaperthestudywillstartexperimentalsystemworthworthspringthekwithc.一、實(shí)驗(yàn)原理設(shè)彈簧的勁度系數(shù)為K懸掛負(fù)載質(zhì)量為m,一般給出彈簧的振動(dòng)周期為,測(cè)量各種不同負(fù)載m的周期T的值,作圖線(如圖一)可以看出T與不是線性關(guān)系。但作圖線(如圖二),則顯然是一條直線,不過(guò)此直線不
5、通過(guò)零點(diǎn)。從上述實(shí)驗(yàn)結(jié)果可以看出在彈簧周期公式中的質(zhì)量,除去負(fù)載m還應(yīng)該包括彈簧自身的質(zhì)量的一部分,即圖一m/g圖二一、實(shí)驗(yàn)內(nèi)容1、研究彈簧在鉛直方向上的K值與C值。先測(cè)彈簧的質(zhì)量,其次測(cè)彈簧下端懸掛不同負(fù)載m時(shí)的周期T,共測(cè)量6次。用停表測(cè)量周期時(shí),要測(cè)量連續(xù)振動(dòng)50次的時(shí)間t。為了顯示的影響,負(fù)載m的起始值應(yīng)該盡可能的取小些。2、數(shù)據(jù)處理將改寫為,若令則得:y=a+bx從n組(x,y)值可求得a、b的值,從而求出K值與C值。1、比較不同的彈簧的K值與C值。一、實(shí)驗(yàn)數(shù)據(jù)5根彈簧的質(zhì)量數(shù)據(jù)記錄表8.8g10.6g17.3
6、g23.4g29.5g1、研究彈簧的數(shù)據(jù)記錄表n50T/s50T/s50T/s50T/s50T/s50T/s1+10g27.8728.1228.0628.0728.1528.092+15g31.5331.5631.1531.6331.5031.533+20g34.4734.5934.5634.5434.6234.634+25g37.4737.3737.4137.3837.4137.285+30g40.0640.0639.9439.1839.9739.886+35g42.2842.3242.2842.3442.2642.3
7、62、研究彈簧的數(shù)據(jù)記錄表n50T/s50T/s50T/s50T/s50T/s50T/s1+20g24.5624.8124.5624.6925.0424.532+30g28.4428.5028.4828.5228.4228.503+40g31.7231.7831.7531.7231.7431.784+50g34.8134.8234.8234.8434.8334.805+60g37.8137.7137.6937.7237.7037.766+70g40.4440.2540.2240.3740.3240.353、研究彈簧的數(shù)據(jù)
8、記錄表n50T/s50T/s50T/s50T/s50T/s50T/s1+40g21.0621.1321.0321.1021.0821.152+60g24.7524.7224.7524.8124.7824.843+80g27.9128.0028.0027.9528.0327.984+100g30.9130.8230.8