... Inc.Thistypeofdriveisaninexpensivealternatetobevelgearsforaright-angledrive,aclutch,andareversingmechanism.Whentheright-handconeinFigure8ismoveddownwardtocontacttheupperhalfofthedoubleconeandtheleft-bandconeismovedupwardtocontactthelowerhalfofthedoublecone,boththeleft-andright-handconesrotateinthesamedirection.Iftheright-andleft-handconesdrivetheright-andleft-handwheelsofalawnmower,themowermovesforward.Iftheright-handconeismoveddownwardandtheleft-handremainsdownward,thewheelstheydriveturninoppositedirectionsandthemowerrotatesinitsownlengthtoprovidethezeroturningradius.(Theunpoweredfrontwheelsareoncasters.)Finally,iftheright-handconeremainsdownwardandtheleft-handconeismovedupward,themowermovesinreverse.Contactbetweenconeswouldbealongalinewherethegeneratorsofeachconeareincontactiftheconeswereabsolutelyrigid.However,theelasticityoftherelativelysofterconeliningsformacontactstripcenterdalongwhatwouldhavebeenthecontactline.Againtherearetwopossiblemodesoftorquetransfer;onewithnoslipatsomepointortransverselinewithinthecontactregionandslipelsewhere,andtheotherwithslipeverywherewithinthecontactarea.AsillustratedinFigure9,ifslippageatallbutonepointorlineisassumedtooccurwhentworotatingconesareincontact,thenthespeedofthedrivenconewilldependuponthelocationoftheno-slippointortransverseline.FromFigure9itisevidentthatwitheitherpointorlinecontact,theangularvelocityoftheoutputconesmayfallsomewherebetweenthelimitsdeterminedbythelocationofthatpoint,orline,withinthecontactstripwhereFIGURE8Conefrictiondriveschematic.Centraldoubleconedrivesoutputconeson ... Inc.Substitutionfromtherelationsforr1andr2yieldsr2Àr1¼l2Àl1ðÞsinfandr2þr1¼l2þl1ðÞsinfSowithpw(l2Àl1)=N=VsinfwehaveT¼AVl2þl12sin2fð3-13ÞIV.EXAMPLEI:BELTDRIVE,HINGEDMOTORMOUNTWouldyouapproveamotormountasillustratedinFigure1(a)forclutchinganddeclutching?Themassofthemotoris18.6kgandthecenterofthemotorshaftis12cmabovethebottomofthemotor’sbase,whichis17.8cmwide.Center-to-centerdistancebetweentheshaftofthemotorandtheshaftofthedrivenmachineistobe50cm.Belttensionistobe298.5N,thebeltshouldbereplacedafterthecenterdistanceincreases2.4cm,theangleofthelinebetweencentersmaybefrom15jto20jwiththehorizontal,andtheshaftofthedrivenmachineisaboveandtotherightofthemotorshaft.ThegravitationalforceonthemotorisgivenbyW=mgintermsofthemassofthemotorandtheaccelerationofgravity.ThusW¼18:69:8067ðÞ¼182:4NtogiveT/W=1.637.Fromthemotorspecifications,b=12cmandamustbeequaltoorlargerthan17.8/2=8.9cm.Asanaidtoselectingavaluefora,plotT/Wasafunctionofsforf=20jand30jandforu=20jand30j,asshowninFigure14.Selectf=20jandcomparedesignsusingu=20jandu=30j.Useoff=15jwasrejectedinordertoavoidexcessivebelttensionasthebeltstretches.Considers=0.2tohavealargerT/Wratioandconsiders=0.685,correspondingtoa=13cm,togetamorecompactmounting.Thusa=44.5mmfors=0. 2and1 3mmfors=0.685.SincebeltelongationduringusecanalterthegeometryshowninFigure15bychangingangleuandtherebychangingthebelttension,calculatethe ... Nd1ld1ln1tan2f and Nn2¼Ndrd2rn2¼ Ndld 2ln2tan2fð3-1Þwhere rd1 and rnlare the radii of the driver and driven cones, respectively, atpoint 1, rd 2 and rn2are driver and driven...