Solution Manual For Introduction To Mechatronics And Measurement Systems 25th Edition By David G. Alciatore latest Edition

SolutionsbManual



INTRODUCTION TO M b b




ECHATRONICSAND M b b




EASUREMENT
SYSTEMS

4th edition
b




b2012(c)




SOLUTIONS MANUAL b




David G. Alciatore an
b b b



d
Michael B. Histand b b




Department of Mechanical Engineering Colorad
b b b b

o State University
b b

Fort Collins, CO 80523
b b b




IntroductionbtobMechatronicsbandbMeasurementbSystems 1

,SolutionsbManual



Thisbmanualbcontainsbsolutionsbtobthebend-of-
chapterbproblemsbinbthebthirdbeditionbofb"IntroductionbtobMechatronicsbandbMeasurementbSystems.
"b Onlybabfewbofbthebopen-
endedbproblemsbthatbdobnotbhavebabuniquebanswerbarebleftbforbyourbcreativebsolutions.b Morebinforma
tion,bincludingbanbexamplebcourseboutline,babsuggestedblaboratorybsyllabus,bMathCADbfilesbforbexam
plesbinbthebbook,bandbotherbsupplementalbmaterialbarebprovidedbonbthebInternetbat:

mechatronics.colostate.edu

Webhavebclass-
testedbthebtextbookbforbseveralbyears,bandbitbshouldbbebrelativelybfreebfromberrors.b However,bifbyoub
noticebanyberrorsborbhavebsuggestionsborbadvicebconcerningbthebtextbook'sbcontentborbapproach,bplea
sebfeelbfreebtobcontactbusbviabe-

te.

Thankbyoubforbchoosingbourbbook.b Webhopebitbhelpsbyoubprovidebyourbstudentsbwithbanbenj
oyablebandbfruitfulblearningbexperiencebinbthebcross-disciplinarybsubjectbofbmechatronics.




2 IntroductionbtobMechatronicsbandbMeasurementbSystems

,SolutionsbManual

2.1 Db=b0.06408binb=b0.001628bm.
2
D - =b 2.082bb10–6
Ab =b ---------
4
b=b1.7bxb10-8b m, Lb=b1000bm
Rb =b -- -L
-- =b 8.2
A

2.2

(a) R1b = 21bb104bb20% sob 168kbbR1bb252kb

(b) R2b = 07bb103bb20% so 5.6kbbR2bb8.4k

(c) Rsb = R1b +bR2b = 217kb b 20% sob 174kbbRsb b260k

Rb1R b b 2
(d) Rpb = ------------------
bR
1b +b R
2
R1 R2
Rp = ----------M--I-N--------M--I--N--- =b 5.43k
MIN R1 +bR
MIN 2 MIN
R1 R2
Rp = ----------M--A---X---------M--A--X---- =b 8.14k
MAX R1 +bR
MAX 2 MAX



2.3 R1b = 10bb102b, R2b = 25bb101
R1R2 (10b b 102)(25b b 101) 1
Rb = = = 20bb10
R1b +bR2 10bb102b+b25bb101
ab=b2b=bred,b bb=b0b=bblack,b cb=b1b=bbrown,b db=bgold

2.4 Inbseries,bthebtrimbpotbwillbaddbanbadjustablebvaluebrangingbfromb0btobitsbmaximumbvaluebtobt
heboriginalbresistorbvaluebdependingbonbthebtrimbsetting.b Whenbinbparallel,bthebtrimbpotbcoul
dbbeb0bperhapsbcausingbabshort.b Furthermore,bthebtrimbvaluebwillbnotbbebadditivebwithbthebfi
xedbresistor.

2.5 Whenbtheblastbconnectionbisbmade,babsparkboccursbatbthebpointbofbconnectionbasbthebcomplete
dbcircuitbisbformed.b Thisbsparkbcouldbignitebgasesbproducedbinbthebbattery.b Thebnegativebter
minalbofbthebbatterybisbconnectedbtobthebframebofbthebcar,bwhichbservesbasbabgroundbreference
bthroughout bthebvehicle.




IntroductionbtobMechatronicsbandbMeasurementbSystems 3

, SolutionsbManual

2.6 No,basblongbasbyoubarebconsistentbinbyourbapplication,byoubwillbobtainbcorrectbanswers.b Ifbyo
ubassumebthebwrongbcurrentbdirection,bthebresultbwillbbebnegative.

2.7 Placebtwob100bresistorsbinbparallelbandbyoubimmediatelybhavebab50bresistance.

2.8 FrombKCL, Isb = I1b +bI2b +b I3
Vs Vs Vs Vs
sobfrombOhm’sbLaw -------- b =b -----
-b+b------b +b------
Req R1 R2 R3
Therefore,b --- ---- =b ----b+b----b+b--1-- sob R
1 1 1 R1R2R3
eqb = ----------------------------------------------------
Req R1 R2 R3 bR R
2 3b +b R1R3b +b R1R2


2.9 Is Is
FrombOhm’sbLawbandbQuestionb2.8,b Vb = ------= ----------------------------------------------------
Req bR R
2 3b +b R1R3b +b R1R2
R 1 R2 R3
andbforbonebresistor,b V =b I1R1
 R2R3 
Therefore,b I1b =  Is
R b2R b +bRb R b +bRb R b  b
b b 3 1b b 3 1b b 2


b R1R2b  R1R2
2.10 lim ------------------ =b ------------ =b R2
R1b →b  bR1b +bR  R
1
 2



dV dV dV
2.11 Ib =b C eqb------ =b Cb 1---------1 =b Cb2---------2
dt dt dt
FrombKVL,
Vb =b V1b +bV2
so
dV dV1 dV2
-------b =b ---------b+b---------
dt dt dt
Therefore,
----I---- =b ---I---b+b---I--- sobb ---1b --- = --1--b+b --1-- orb C C1C2
eqb = ------------------
Ceq C1 C2 Ceq C1 C2 bC
1b +bC
2




4 IntroductionbtobMechatronicsbandbMeasurementbSystems