Solutions Manual for Theory of Machines and Mechanisms 6th Edition - Complete Solutions for All 16 Chapters

All 16 Chapters Covered
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SOLUTION MANUAL
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Chapter 1 g




The World of Mechanisms
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1.1 Sketchgatgleastgsixgdifferentgexamplesgofgthegusegofgagplanargfour-
barglinkagegingpractice.gThesegcangbegfoundgingthegworkshop,gingdomesticgappliances,gongvehi
cles,gongagriculturalgmachines,gandgsogon.

Sincegthegvarietygisgunboundedgnogstandardgsolutionsgaregprovidedghere.

1.2 Theglinkglengthsgofgagplanargfour-
barglinkagegareg1gin,g3gin,g5gin,gandg5gin.g Assemblegtheglinksgingallgpossiblegcombinationsgandg
sketchgthegfourginversionsgofgeach.g DogtheseglinkagesgsatisfygGrashof'sglaw?g Describegeachg
inversiongbygname,gforgexample,gagcrank-grockerglinkagegorgagdrag-linkglinkage.
sg1 gin,g lgg5gin,g pgg3gin,g qgg5gin; these linkages all satisfy Grashof’s law
since1gingg5gingg3gingg5ging. Ans.




Drag-linkglinkage Drag-linkglinkage Ans.




Crank-rockerglinkage Crank-rockerglinkage Ans.




Double-rockerglinkage Crank-rockerglinkage Ans.

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1.3 Agcrank-rockerglinkageghasgag100-mmgframe,gag25-mmgcrank,gag90-mmgcoupler,gandgag75-
gmmgrocker.g Drawgtheglinkagegandgfindgthegmaximumgandgminimumgvaluesgofgthegtransmissi

ongangle.g Locategbothgtogglegposturesgandgrecordgthegcorrespondinggcrankganglesgandgtrans
missiongangles.




Extremumgtransmissiongangles:  min gg1 g53.1g  max gg3g g98.1 Ans.
Togglegpostures: g2 g40.1gg2g59.1g g 4g228.6gg 4 g90.9 Ans.

1.4 PlotgthegcompletegpathgofgcouplergpointgC.

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1.5 Findgthegmobilitygofgeachgmechanism.




(a) ngg6,gj1gg7,g j2gg0; mgg36g1gg2  7  g10gg1g Ans.
(b) ngg8,gj1gg10,g j2gg0; mgg38g1gg210g10g1 g gAns
(c) ngg7,gj1gg9,g j2gg0; mgg37g1gg29g10gg0 .gAn
s.
Noteg thatg theg Kutzbachg criteriong failsg ing theg caseg ofg partg (c);g theg trueg mobilityg isg m=1.
Thegexceptiongisgduegtogagredundantgconstraint.g Thegassumptiongthatgthegrollinggcontactgj
ointgdoesgnotgallowglinksg2gandg3gtogseparategduplicatesgthegconstraintgofgthegfixedglinkgle
ngthg O2O3g.
(d) ngg4,gj1gg3,g j2gg2; mgg34g1gg23g12gg1 Ans.
Noteg ing partg (d)g thatg eachg pairg ofg coaxialg slidingg groundg jointsg isg countedg asg onlyg ags
inglegprismaticgpair.