ju ju ju
SOLUTION MANUAL
ju
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Chapter 1 ju
The World of Mechanisms
ju ju ju
1.1 Sketchjuatjuleastjusixjudifferentjuexamplesjuofjuthejuusejuofjuajuplanarjufour-
barjulinkagejuinjupractice.juThesejucanjubejufoundjuinjuthejuworkshop,juinjudomesticjuappliances,juonju
vehicles,juonjuagriculturaljumachines,juandjusojuon.
Sincejuthejuvarietyjuisjuunboundedjunojustandardjusolutionsjuarejuprovidedjuhere.
1.2 Thejulinkjulengthsjuofjuajuplanarjufour-
barjulinkagejuareju1juin,ju3juin,ju5juin,juandju5juin.j u Assemblejuthejulinksjuinjualljupossiblejucombination
sjuandjusketchjuthejufourjuinversionsjuofjueach.j u DojuthesejulinkagesjusatisfyjuGrashof'sjulaw?j u Des
cribejueachjuinversionjubyjuname,juforjuexample,juajucrank-rockerjulinkagejuorjuajudrag-
linkjulinkage.
sju=1 juin,j u lju=ju5juin,j u pju=ju3juin,j u qju=ju5jui these linkages all satisfy Grashof’s law
n;
since1juinju+ju5juinjuju3juinju+ju5juinju. Ans.
Drag-linkjulinkage Drag-linkjulinkage Ans.
Crank-rockerjulinkage Crank-rockerjulinkage Ans.
Double-rockerjulinkage Crank-rockerjulinkage Ans.
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1.3 Ajucrank-rockerjulinkagejuhasjuaju100-mmjuframe,juaju25-mmjucrank,juaju90-
mmjucoupler,juandjuaju75-
mmjurocker.j u Drawjuthejulinkagejuandjufindjuthejumaximumjuandjuminimumjuvaluesjuofjuthejutrans
missionjuangle.j u Locatejubothjutogglejuposturesjuandjurecordjuthejucorrespondingjucrankjuanglesju
andjutransmissionjuangles.
Extremumjutransmissionjuangles =juj u =ju53.1j u =juj u j u =ju98.1 Ans.
: min 1 max 3
Togglejupostures: j2 u =ju40.1ju2j u =ju59.1j u4j u =ju228.64 juj u =ju90.9 Ans.
1.4 PlotjuthejucompletejupathjuofjucouplerjupointjuC.
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1.5 Findjuthejumobilityjuofjueachjumechanism.
(a) nju=ju6,juj1ju=ju7,j u j2ju=ju0; mju=ju3(6ju−1)ju−ju2 ( 7 ) ju−1(0)ju=ju1j Ans.
(b) nju=ju8,juj1ju=ju10,j uj2ju=ju0; umju=ju3(8ju−1)ju−ju2(10)ju−1(0)ju= Ans
ju
(c) nju=ju7,juj1ju=ju9,j u j2ju=ju0; 1 j u mju=ju3(7ju−1)ju−ju2(9)ju−1(0)ju= .juAn
ju0
s.
Notej u thatj u thej u Kutzbachj u criterionj u failsj u inj u thej u casej u ofj u partj u (c);j u thej u truej u mobilityjuisj u m=1.
Thejuexceptionjuisjuduejutojuajuredundantjuconstraint.j u Thejuassumptionjuthatjuthejurollingjuconta
ctjujointjudoesjunotjuallowjulinksju2juandju3jutojuseparatejuduplicatesjuthejuconstraintjuofjuthejufixed
julinkjulengthj u O2O3ju.
(d) nju=ju4,juj1ju=ju3,j u j2ju=ju2 mju=ju3(4ju−1)ju−ju2(3)ju−1(2)ju=ju1 Ans.
;
Notej u inj u partj u (d)j u thatj u eachj u pairj u ofj u coaxialj u slidingj u groundj u jointsj u isj u countedj u asj
u onlyj u ajusinglejuprismaticjupai