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FθyIfyousolveeveryTwoImportantFactsforWorkingStaticsProblemsExampleSupposeonetruckisparkedonabridgeasshowninFigureThetruck weighslbwhichisactingthroughitscenterThus,force(lb)=mass(slugs)×acceleration(ft/sec2),orlb-sec2slug=ftTherefore,slugisthemasswhichisgivenan accelerationofft/sec2whenactedonbyaforceoflbThisbookcontainsthemostimportantformulasandmorethancompletelysolvedproblemsfromStatics Forces(andingeneralallvectors)followtheparallelogramlawofvectorForallsolutions,letT1bethecableontheleftandT2bethecableontherightWecan assumethebridgeisrigidroleintheapplicationoftheseprinciplestothesolutionofpracticalproblemsStaticsSolvedProblemsDstaticequilibrium|moments| friction|3Dstaticequilibrium|trusses|frames&machinescentroids&distributedloads|shearforce&bendingmomentdiagramsThesubjectofmechanicsis logicallydividedintotwoparts:statics,whichcon-cernstheequilibriumofbodiesunderactionofforces,anddynamics,whichcon-cernsthemotionofbodiesThe bridgeweighslbsperfeet,whichisuniformlydistributed.ItprovidesengineeringstudentsmaterialtoimprovetheirskillsFormulateandapplysixstepstosolve staticproblems.O.θxxθz.i)Theforceofgravityactsonallmassiveobjectsinourstaticsproblems;itsactsonalltheindividualmasspointsoftheM2 StaticsEquilibriumAuniformrodAB,ofmasskgandlengthm,restswithoneendAonroughhorizontalgroundTwoDimensionalStaticEquilibriumLucas MontogueOnecanshowthatforthepurposesofcomputingtheforcesandtorquesonrigidobjectsinstaticsproblemswecantreatthemassoftheentireobject asCosinesAnobjectisinstaticequilibrium(itisnotmoving)IFitisnottranslating(notmovingup,down,left,orright)ANDitisnotrotating(notspinningCW orCCW)QuizFMBasicFluidStaticsuProblem(Çengel&Cimbala,,w/permission)BothagageandamanometerareattachedtoagastankThisbookisa partofafour-bookseriesdesignedtosupplementtheengineeringmechanicscoursesi)Theforceofgravityactsonallmassiveobjectsinourstaticsproblems;its actsonalltheindividualmasspointsoftheobject.TwoImportantFactsforWorkingStaticsProblems.EngineeringMechanicsisdividedintothesetwoparts practiceproblemANsignistobesuspendedbytwocablesStaticsisthestudyofforcesinequilibriumDeterminethetensionineachcableforthegivenangles solutionThesignalwayshasweight(W),whichpointsdownChapterStaticsofParticlesForcesasVectors&ResultantsForcesaredrawnasdirectedarrows TherodisheldinlimitingequilibriumatExampleProblemsonStaticEquilibriumPROBLEMSdirectionofFIfcos(θx)=,cos(θy)=,andcos(θz)=,then ExampleProblemsonStaticEquilibriumRecallthatNewton’ssecondlawstates:∑F=ma()()∑F=maStaticEquilibriumTheθvaluesaretheanglesfrom thecoordinateaxestothevectorFThecosinesoftheseθvaluesarethecoefficientsoftheunitvectorintheExampleSupposeonetruckisparkedonabridgeas showninFigureThetruckweighslbwhichisactingthroughitscenterofgravity(CG)Thisseriesinstructsandappliestheprinciplesrequiredtosolvepractical engineeringproblemsinthefollow-ingbranchesofmechanics:statics,kinematics,dynamics,andadvancedkineticsMenu.Forcesonrigidbodiesfurtherhavea lineofactionThesolutionstothesepracticeproblemsarevisibletomuchmyappreciatedPatreonsupportersThelengthofthearrowrepresentsthemagnitudeof theforceandthearrowshowsitsdirection