SolutionsHManual
INTRODUCTION TO
MECHATRONICSAND
MEASUREMENT
SYSTEMS
5th edition 2
H H
018
SOLUTIONSMANUAL
David G. Alciatore, PhD, PE
H H H H
Department of Mechanical Engineering Colorad
H H H H
o State University
H H
Fort Collins, CO 80523
H H H
IntroductionHtoHMechatronicsHandHMeasurementHSystems 1
,SolutionsHManual
ThisHmanualHcontainsHsolutionsHtoHtheHend-of-
chapterHproblemsHinHtheHfifthHeditionHofH"IntroductionHtoHMechatronicsHandHMeasurementHSystem
s."H OnlyHaHfewHofHtheHopen-
endedHproblemsHthatHdoHnotHhaveHaHuniqueHanswerHareHleftHforHyourHcreativeHsolutions.H MoreHinfo
rmation,HincludingHanHexampleHcourseHoutline,HaHsuggestedHlaboratoryHsyllabus,HMathcad/Matlab
HfilesHforHexamplesHinHtheHbook,HandHotherHsupplementalHmaterialHareHprovidedHonHtheHbookHwebs
iteHat:
mechatronics.colostate.edu
WeHhaveHclass-
testedHtheHtextbookHforHmanyHyears,HandHitHshouldHbeHrelativelyHfreeHfromHerrors.H However,HifHyo
uHnoticeHanyHerrorsHorHhaveHsuggestionsHorHadviceHconcerningHtheHtextbook'sHcontentHorHapproach,
HpleaseHfeelHfreeHtoHcontactHmeHviaHe-
.H IHwillHpostHcorrectionsHforHreportedHerrorsHonHtheHbookH
website.
ThankHyouHforHchoosingHmyHbook.H IHhopeHitHhelpsHyouHprovideHyourHstudentsHwithHanHenj
oyableHandHfruitfulHlearningHexperienceHinHtheHexcitingHcross-
disciplinaryHsubjectHofHmechatronics.
2
IntroductionHtoHMechatronicsHandHMeasurementHSystem
s
,SolutionsHManual
2.1 DH=H0.06408HinH=H0.001628Hm.
2
D -
AH =H --------- =H 2.082HH10–6
4
H=H1.7HxH10-8H m, LH=H1000Hm
L
RH =H -- -- =H 8.2
-
A
2.2
(a) R1 H 21HH104HH20 soH 168kHHR1HH252k
= %
(b) so 5.6kHHR2HH8.4k
H
R2 H 07HH10 HH20 3
= %
(c) RsH R1H +HR2H 217kH H 20% soH 174kHHRsH H260k
= =
(d) RH1HRH
Rp H ------------------
2
HR
= 1H +H
R2
R1 R2
Rp = ----------M--I-N--------M--I--N--- =H 5.43k
MIN R1 +HR
MIN 2 MIN
R1 R2
Rp = ----------M--A--X---------M--A--X---- =H 8.14k
MAX R1 +HR
MAX 2 MAX
2.3 R1 H 10HH102H R2H 25HH101
= , =
R1R2 (10H H 102)(25H H 101) 1
RH = = = 20HH10
R1H +HR2 10HH102H+H25HH101
aH=H2H=Hred,H bH=H0H=Hblack,H cH=H1H=Hbrown,H dH=Hgold
2.4 InHseries,HtheHtrimHpotHwillHaddHanHadjustableHvalueHrangingHfromH0HtoHitsHmaximumHvalueH
toHtheHoriginalHresistorHvalueHdependingHonHtheHtrimHsetting.H WhenHinHparallel,HtheHtrimHp
otHcouldHbeH0HperhapsHcausingHaHshort.H Furthermore,HtheHtrimHvalueHwillHnotHbeHadditiveH
withHtheHfixedHresistor.
2.5 WhenHtheHlastHconnectionHisHmade,HaHsparkHoccursHatHtheHpointHofHconnectionHasHtheHcomp
letedHcircuitHisHformed.H ThisHsparkHcouldHigniteHgasesHproducedHinHtheHbattery.H TheHnegat
IntroductionHtoHMechatronicsHandHMeasurementHSystems 3
, SolutionsHManual
iveHterminalHofHtheHbatteryHisHconnectedHtoHtheHframeHofHtheHcar,HwhichHservesHasHaHgroun
dHreferenceHthroughoutHtheHvehicle.
4
IntroductionHtoHMechatronicsHandHMeasurementHSystem
s
INTRODUCTION TO
MECHATRONICSAND
MEASUREMENT
SYSTEMS
5th edition 2
H H
018
SOLUTIONSMANUAL
David G. Alciatore, PhD, PE
H H H H
Department of Mechanical Engineering Colorad
H H H H
o State University
H H
Fort Collins, CO 80523
H H H
IntroductionHtoHMechatronicsHandHMeasurementHSystems 1
,SolutionsHManual
ThisHmanualHcontainsHsolutionsHtoHtheHend-of-
chapterHproblemsHinHtheHfifthHeditionHofH"IntroductionHtoHMechatronicsHandHMeasurementHSystem
s."H OnlyHaHfewHofHtheHopen-
endedHproblemsHthatHdoHnotHhaveHaHuniqueHanswerHareHleftHforHyourHcreativeHsolutions.H MoreHinfo
rmation,HincludingHanHexampleHcourseHoutline,HaHsuggestedHlaboratoryHsyllabus,HMathcad/Matlab
HfilesHforHexamplesHinHtheHbook,HandHotherHsupplementalHmaterialHareHprovidedHonHtheHbookHwebs
iteHat:
mechatronics.colostate.edu
WeHhaveHclass-
testedHtheHtextbookHforHmanyHyears,HandHitHshouldHbeHrelativelyHfreeHfromHerrors.H However,HifHyo
uHnoticeHanyHerrorsHorHhaveHsuggestionsHorHadviceHconcerningHtheHtextbook'sHcontentHorHapproach,
HpleaseHfeelHfreeHtoHcontactHmeHviaHe-
.H IHwillHpostHcorrectionsHforHreportedHerrorsHonHtheHbookH
website.
ThankHyouHforHchoosingHmyHbook.H IHhopeHitHhelpsHyouHprovideHyourHstudentsHwithHanHenj
oyableHandHfruitfulHlearningHexperienceHinHtheHexcitingHcross-
disciplinaryHsubjectHofHmechatronics.
2
IntroductionHtoHMechatronicsHandHMeasurementHSystem
s
,SolutionsHManual
2.1 DH=H0.06408HinH=H0.001628Hm.
2
D -
AH =H --------- =H 2.082HH10–6
4
H=H1.7HxH10-8H m, LH=H1000Hm
L
RH =H -- -- =H 8.2
-
A
2.2
(a) R1 H 21HH104HH20 soH 168kHHR1HH252k
= %
(b) so 5.6kHHR2HH8.4k
H
R2 H 07HH10 HH20 3
= %
(c) RsH R1H +HR2H 217kH H 20% soH 174kHHRsH H260k
= =
(d) RH1HRH
Rp H ------------------
2
HR
= 1H +H
R2
R1 R2
Rp = ----------M--I-N--------M--I--N--- =H 5.43k
MIN R1 +HR
MIN 2 MIN
R1 R2
Rp = ----------M--A--X---------M--A--X---- =H 8.14k
MAX R1 +HR
MAX 2 MAX
2.3 R1 H 10HH102H R2H 25HH101
= , =
R1R2 (10H H 102)(25H H 101) 1
RH = = = 20HH10
R1H +HR2 10HH102H+H25HH101
aH=H2H=Hred,H bH=H0H=Hblack,H cH=H1H=Hbrown,H dH=Hgold
2.4 InHseries,HtheHtrimHpotHwillHaddHanHadjustableHvalueHrangingHfromH0HtoHitsHmaximumHvalueH
toHtheHoriginalHresistorHvalueHdependingHonHtheHtrimHsetting.H WhenHinHparallel,HtheHtrimHp
otHcouldHbeH0HperhapsHcausingHaHshort.H Furthermore,HtheHtrimHvalueHwillHnotHbeHadditiveH
withHtheHfixedHresistor.
2.5 WhenHtheHlastHconnectionHisHmade,HaHsparkHoccursHatHtheHpointHofHconnectionHasHtheHcomp
letedHcircuitHisHformed.H ThisHsparkHcouldHigniteHgasesHproducedHinHtheHbattery.H TheHnegat
IntroductionHtoHMechatronicsHandHMeasurementHSystems 3
, SolutionsHManual
iveHterminalHofHtheHbatteryHisHconnectedHtoHtheHframeHofHtheHcar,HwhichHservesHasHaHgroun
dHreferenceHthroughoutHtheHvehicle.
4
IntroductionHtoHMechatronicsHandHMeasurementHSystem
s