浅析物体平衡问题的解题方略.doc

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1、浅析物体平衡问题的解题方略CollectedbyoneselfMistakesareunavoidableForreferenceonlyIncaseoferrorPleasecorrectme!ThankyouSolutiontotheproblemofobjectbalanceXinChuansen(TiantaiPingqiaohighschool,Zhejiang317203)(-thisarticlehasbeenpublishedinthephysicalbulletin,sixthissueof2004)Thebalanceofobjectsis

2、animportantphysicalmodelItsessenceisthebalanceofforceThedeterminationandtransformationoftheobject,theequivalenttreatmentofforceandtheconstraintrelationbetweentheequilibriumforcesarethethreebasicpointsforsolvingtheproblemofbalancingtheobjectI.selectionandtransformationofsubjects1,the

3、applicationofthewhole1aw,theisolationlawandthetransformationoftheobjectofstudyTheintegralmethodandtheisolationmethodareimportantthinkingmethodsWhenthesysteminternalforceisnotinvolved,thewholemethodshouldbegivenpriorityTheadvantageisthatfewersubjectsarestudiedThesolutionprocessisofte

4、nsimpleandingeniousTheuseofisolationmethodcanchangetheinternalforceofanindividualintotheexternalforceofanindividualPracticalapplicationRequiresflexibleconversionofresearchobjectsAlternatingintegralandisolationmethodsareusedalternatelyTogetthemostconcisesolutionthinkingExample1.Havea

5、rightanglebracket,AOBAOhorizontallyplacedRoughsurface;OBplacedverticallysmoothsurfaceAOPonthesetofringletedOBQonthesetofringletedThequalityismThetworingisconnectedbyamassofnegligibleandnonstretchedcordAndbalanceatacertainposition(seeFigure1)NowmovethePringtotheleftashortdistanceWhen

6、thetworingsarebalancedagainThencomparethemovingbalancestatewiththeoriginalbalanceHowabouttheAObar?ssupportforceonthePringandthetensiononthestring?WhataboutthesizeoftheT?Firstofall,theanalysiscanbeseenbytheintegralanalysisThesupportingpowerremainsthesameReconversionresearchobjectIsol

7、ationringQwasanalyzedIntheverticaldirectionWheretheringPmovesleftTheanglebetweentheropeandtheverticalissmallerAsaresult,Twillbecomesmaller2,thebalanceofrigidbodyistransformedintoparticleequilibriumAccordingtothethreeexchangeprincipleAnobjectinequilibriumunderthreecoplanarforcesThese

8、threeforcesmustbeco