FE/EISample ExaminationsSecond Edition

Michael R.lindeburg, PE

Professional Publications, Inc. . Belmont, CA

Table of Contents

Prefo(eA*nowledgneIlt

2l2325

3335:17

535557

How Jo U5e Ttir Bool

lfiodudion

Exam

Sonple [xom INlorniDg Sction

I

5

ti16983

9395

109

slmple [xon 2ltor g Section

Exam

Exanl

Exam

Instruclions

Solufiorr lor Snmple Exon I

Morning Section

Solufionr lor Sonple Exon 2

flo. g Section

Exon I- lvlorning Sedion

InstructionsThis.se.tnD of the.xaur cohisrs of t20 r.obtems, .achirorllr I point. }'ou ri.ilt hrri. lour hours nr \.hich io\iork tlis s!.tior. You scorc IriI be.tter ined h theDrrber.of preblens thai lo| sol\-e (orrectty. No roirltsn i 11 be Llcdu.t(rl for inc{)rred ADSxers. Ir, is to rour bestad\anrag{r to tr! to anse.er ererl qlestir)n.\ \ rF

"r ; . i . | , . .qd6.ro . r r { . , u."^, . r r , . ,k:r p

-"o n ihF r . . . r , . . r . . . B. . t i ..\ns{er Shed nJile vorr nane inne.Uar.lv in thc' .

" "1: : . " ' , . r , r . t : , . .1

- r i 'p | '

p. I 1ou p i . n . . , " . . , ,proctor Nill iss[e xor] a nc1\ tsookt.r.Ali sohrtiorN must be cmer..l

.,! the ]\nss,cr Shecr. Nocredit will be gilen fo. als$,e|s appcding onl.r in Ltr.l

r 'n

j r : ' i . , n, . q \ t , ,h!o. f . , . . . . r : . t . . . t ,F

. | . 'o\ in6i t l ro , - - . r ) t . r " r -

l " , r , _r-

lrusi compltell fiti rhc butrbte. R{rcord onh ore axss,erper problem: if lur uarLr nore rhar one{itl not rec.ire

.rodii fof the probterlr. If r1n ctlange.n ans{:r, }rii sur. ihe itd bnbtt. is er$ed conpter.rl).:in.ompl.te efnsur.s ma! be ract $ inicn.jeu a!s{.crs.if votr fi sl e.ult, check \-oLr lork anil rnare sure lorrha1'e .ol.r.irtly foltoxed iil nlstnci,ions. ,{fi$ cr..{xrg)1rr ans\us, y)u rrar Lum in 11nr Ernn ration B.rotrlet ard dNver Sleer amd have ihe .xrmirinrion roo[1.Once rou lcave, r'oLr r.iU noi Lc pmjtteLt ro relmu rotrl)rr on

-\our solriions.

Do not work rn)- |robl.nrs tuom th ,{ft.m,ror SectioD.,r . r - i . , .

\1!\IT POR PERII]SSIO-\ TO BECI\.

First UiddlIdtial

FUNDAMENTALS OF ENGINEERINGSAMPLE EXAMINATION

TXAM IM0RI G SE(Tt0t{

Subject Breakdown

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(Siaril]s aud Dr-nalnn,s)Sirersth of N{ateriats\IaiLirial ProrrorttcsFluid llecha csElcirnrji]' an.i \Iasnei,isn

l lEr9 2t i27 .iti3 i 15.11i 5155 63

6+ 7576 81E5 929l 101

102 r11112 r20

-

Prole5sionol Publimlion5, ln(.

Morning Secfion

Narne:

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lron | -

lvloning Sedion 3

Fundamentals of Engineering Sample Examination

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B@ @ O @11e.O @ @ @120.O @ O @

Professionol Publkolions, lm.

[xon I -

Illorning Sedior 5

1. Th. lLnlHiI of a radnractil isotop is 13 da]'sIlost xcnrly, ho$ long $,ill it iake Lo rednce l,he original

(A) 3.2 daJS(B) 16 days(C) 2e davs(D) .10 d.,.:s

2. \\ihri is the cleierminant of th tollos' g 2 : 2 Ina'tix'l

6. $,'hnih is a tllle staindri about thc iivo rectorslv1 : i+2j +kvr: i+ i l j 7k

{.^.) Botli vctors pass tLro sh (0, 1,ti).(B) TLe vectors are parallel.(C) rhe lectors arc orthogonal.(D) Th anel. bchreen th ve{itols is 17 4'

7. $'hat is most nearl,v the area boundcd bx 3/ = 0,Y:: t :0,ar. lx=l l

(A) 1.1(B) r .7l( ') 2.7(D) 3..1

8. A fiu,ction of i is gi!i! Lrelow. Which (r.s) pointis a relative lnaxnnun or ni ]xuml

!=I . r1 f i ! )+2x+5

(A) (-2. - l )

(B) (-2. 2)(c) (2. 2)(D) ( 1, 1.7;)

9. The slope of a linc is 1/,. The slopc of n second lin.is -'?l3. The lincs intercepi at the poirt (3, l) What ismosi ncar\' thc acruie iugle b1ir(en Lhe hlesl

(A) 27.(B) 50.(c) 60'(D) 80.

10. A ftn.tion i-. gi1-er. \\ihat \alue ol c m.xinizes'!?

Y2 +Y+? 2t ' r t

(-r\) I{ ts) 1/2(c) 1(D) 5

11. An elephant is .lDined to a ixr er of a il(] :35 m building. I{tli. chain is.lrj m long and the elephnntcan r{racli 1 m father ihar ii ch.rh lenglh. vhat is i,llemdimum arc,i the elephant cail corcr?

(.\) 11870 m'?(B) 3960 n'?(c) :1970 !;(D) a080 !r

12. \ \ . , - . t - i r , i f lF . r n F 'o l1o 1o ' t rd

'c :9 j .3+t?-15x+32(.{) ( 27, 176,000)(B) ( 2r.2. 84,100)(o) (,0.0:17 32.6)(D) (19.2.63.300)

[ ] ; l(.{l 10(c) e(D) 10

3. \Vhat jF mosli n{idl}' tlre value oft}re f.,lloFing limitl

. i -glIl

" rl

(A) 6(B) 1(-) ii(D) .c

4. Gilen ih qrior V: i+2j+k, vhat is most nearlytlre angle betsrxrn V and i|e r .Lris?

(r\) 22"(B) 21'(c) r:i6"(D) 80'

5. E\ahratc the follorving dcfinite inieBral.

f ! , ,. t t x.

(A) r,/2r(D) 1/8(c) 1/2(D) 2

Prolessionol Publioliont ln(.

6 It/tlT Srnple lxdninllionr

13. Ass me lhal three forc \'ctors are applied at asirgle pojni.

F1 : i+3j +4kFr:2i+7j kF3: i+4j+2k

\\ hat is most nearlj the n}agnitude of thc resultant

(A) 13(B) r.1(c) r5(D) 16

14. U"hat is tlrc soluiio to th difierential equation ifr : 1 at t :0,

^Ld dx I dL : A at t : A l

1i*++ l+s,=' ;

(A) . -1 ' r afe t(B) ie, i (cos2i+sin24 + !(c) i 4'+.lre 1r+

,3(D) i . r i+ i r . , 11+i

15. What is the snallest posiiil v.iluc of I oD thecuNe g :7x2 3.r + 8?

(r\) 3/1.1(B) 3/7(c) 14/3(D) 21;/2E

16. wl ch ot ih tollo$,ing is equilal.nt to sni2d?(A) 2 sind

Exun l- Mofting Sedion 7

(,{) 0.0033(B) 0.11(c) 0.33(D) 1.10

25. Thc lc:!s1i sqtrarcs xxrtliod is usc,.l to ploi a straighlLi , ie througl, urc datn poir ts (2.2), ( .1,7). ( i , l r ) . and(t.9). llre slope.Jfthc lilc is riosi neirit'

(Al 8(Bl 4(( ' ) 0(D) 3.5

26. Tl!. uxrtllxL o{ dctomi Dstle graph ot a cuvetlut b.st aprroxinat.s a silr! colLetiior of poinls is

(Al mr.gra ion bl parts(BJ .rrrv.r fittiils(Cl) nonlinc.r intetl)olainD(Dl hvpoth(isis tcstins

27. $ilich of the fbllowing is lle forrld|l for acetic

(.{) (rooH(B) CH,COOH(c) cH3cH'coorr(D) CH3COOTT

28. Niut is .,ndizecl ard what is rduGl the fol

Zr+TI,SOr+ZnSOa+H,

(_q) ziilc is oxidiz.id onh..(B) ZiNr is r i rhnlrr o 1:(Cl) Zid, is oxidizcd and hvdogen js reducd.(D) Zix,is rdurtL aul hvdrogen is oxi.lizd.

29. HoN narv nol{)s of \aOH $.i11b reulir^lizecl bi.1 molc of Hrl'Orl

( - { ) l /3(Bl I(0) 2(Dl 3

(A) ihe erdpoini of a dile.tcd nctsork(D) an electrode at s,hi.h oxidatn'r occurs(C)

.n electiode at {hi..h r.ductior occurs(D) rl1. ol(trod{r to F}ri(h iltc criLion \lould bc at

, , ,

-

,L | .1. , ,u . , , , rpa, r ' .

31. Rerr''llium, mngnesilun, and calciurn all belons towli(| elemental grcupnrgl

(A) noble elenerts(B) halosels(C) alkali merals(D) alkaline eaxrh merals

,

32. lf I mol of gaseous chlornre combines lith 1 nblof calcnl to form calcium chloride lCaCl:), vlinfi ofihe following stateinents is true'l

\ \ r "1 l . r rn \ .d dtF,pot(B) 1 lbn of chlorine will conbine Fith 1 lbn of

(C) Chk,rtu has a rnlencc of 2.(D) Calcnln has a \ren.xi of +2.

33. Bala xr thc foll{rwing cqutnD.

_PbO,+ HrSO.r + Pb+ II,O ' ' _PbSO,1

(A) 3PbO, + 6H,SO1+ 3Pb + 6HrO + sPbSOl(B) 3PhO, + 6H,SO1 .1- Pb + 6HrO + 4PbSOa(C) 2PbOr + H,sor I zPb + lHro + 4Pbsol(D) r 'bo, + 2H'SO1+ PL + 2HrO + 2PbSOr

34. \\ihnt is ihc u)si likciy iorrnula of a componndirith tlle folloFnie gr:il.inetdcr |ill.llJsis?

oxvg'on: 13 7%cdbon:20.5%

hydrogen: 5.1%chlornlc: 60.7%

(A) cH3o0(B) c,H6ocl(c) c2H6ocr2(D) CH{r02C1

35. Tlow ma r Illoles of Lydro.hlorjc acid $,ill bequire.l io neuiralize 1 nlol oI sodiurc hyd.oxi.lc!

(A) 0.3 tu1(B) 0.5 o1(C) 1.0 ol(D) r .5 mol

36. \rhat is mosi narly the nass of I aton ot carbo!72!

(A) 5.0 x t0 : 'g(B) 2.0 x r0 :3 s(C) a.0 r l0 23 g(D) 7.6 r 10 13 s

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FElllI Sonple Exo indiont

37. I systcn is found to ha\ the lbllorving transfer

7+32s'z+ 14i 36

s is iihe tuequncy h Hz. For lvhat value of s clos thesysiem becorne unstable?

(A) 7 HzlB) 2I1r(cr) l Hz(D) 9 Hz

Problems 3lt .13 ax basd oD ihe follos.ilg illustration.All rlues axe in non-dimensionalized udts.

(A) 0.866(B) 3.5.1(c) 3.75(D) 4.33

42. [ihat is mosi near]y thequency of tlic ontrol systonl

1^) 0.866(B) 3.51{c) 3.75(D) 4.33

dampd rcsomnt frc

38. What is xrost really the n&tural frc.luency o{ ihe

(A) 0.707(B) 3.12(c) 5.e2(D) e.75

PrcblenN 3ti ,12 a.ssune tliat ihc mtural tuequency ofth control systm shoFn h Prob. 38 is 5 Hz.

39. \\ihat is most rc:rl). ihc steady-state gain of the

(A) r .1(B) 7.0(c) 16(D) 180

,1O. What is most nearlv lihe danping ratio of the cor

(A) 0.06(B) 0.3(c) 0.6(D) 0.8

ProblcnN :11 ard 42 assume a dan4rirg ratio of 0.5.

41. What is ost ncarly thc danped nalural lieque cyof the coni,rol system?

43. If i,h control system is given a urit step input,how lvill ihe response b chalacierized?

(A) underdarnpcd(B) oterda rped(C) critical\' damped(D) ustable

(A) a measurc oflhe intervals b.twrcn transmitteddigital data

(B) a dvice used io demodnlalie audio daLasis als(C) a unit of masniliude of clcctro icallx |Iansmil-

ted audio signals(D) a unit of spccd digital dala transmtssion

neasu ng numb.r of sislals per second

45. Th following code is an ex,rnple of whai plogram-

r, = "r,b.(.)

cube(a){b=r+a+aretum b]

(A) branching(B) tunction ca(C) looping(D) subrourine

46. Wh.n can a professional pro\.ntc seNices if coDflicis of nrt.rcst ,re irvolrcd'l

(A) if no compcnsation is rccciied(B) if donis so docs not personally benelii the pro-

(C) if full disclosue of pote tial coDflicls arc pro-vided

(D) ne\r

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tro'l! I -

fllorrirg Sedion 9

,17. Iihn is ihe re(eipi ot co[pensation f;om rnorcth:m one pnxty 1br ihe same proje(l erhical?

(_\) ne\.er(B) when ihe rotal ol all coffpersaiitnl recened

docs not excd "r.sonatl" .omp-pns.iiorlfor ilic trpc of sork p. brn.d

(C) al , iays(D) r'hen all pi||is iln.ohd know abort arxl

agi ee io ilre a.'.rangemerl

48. $ihen mav profes"qionals mal

- l0 FEltlT Srnrle txoninoliont

per ru. i approxiiutcll holv rlary Jeaxs will tle nla-chin. t)ar lof itself il co rpoun.hrg is coxsiderect? T|e.lT(ti\.e an rd nrtcresL rate is 6i

1A) 5.2 yearslBl i j . I 1^6(C) 7 ttuslDl 81.caIS

59, Funds arc deposife.l in :r savirrgs a.courll ai aI inieresi rat{r ol

-r% per annuur. II the nrieresi is .om

pounde.l s(ni alinualh. {.]iat is mosli rarl) the initial amourt thal musi b. deposjled io lield a total ol$1r j ,000 ni 10 yearsl

(Al $,1530(B) 51;60(c) s6730(DJ $8200

60. 5500 is .l.posited nrto a La* savirgs accouni srtir6% iDteresr (mpourcled amuallr' Xlost narlv hownuch is in th{r rccount ar thc etld ol i1!ee larsi'

(.{) $;5nlBl $tiot)(Ct $650(D) $700

61. Ai the en.l of cai.h year tor lir'e yea6, $500 is dposiiciL nllo a cie.lit ulion ..couri. Thc credjt unionpal's 5% inlefest nnpoun,:le.l amrally Ai ihe en.l ofIi1t laars (inrme.lidi,clr lollolving tlie fiftli dep.,sjt) rnostrcarly hos mucl wiil Le in itlc a.count?

lrl $6.10(Bl $1750(c) s27ri0(D) $35;0

62. Or ,lanuarl' r. [i50{]0 is d.posiicL nrto t.l hjgh-inkrrcst safings a(xni]lt lhat pa.rs 8% intcrsl com-poundetl annuriilr'. lf llU of thc monev is withdra$nh frve equal cnd ol rea]. srnas beginning Decembe. 31of lhe firsi r.ar. nosi ne.rlv Lo$' much will each s'irl1

(A) S I00.q(B) $1150(c) $l2r0(D) $1250

63. Iflorr n{ql(.1to tave $800 h savings at the end oflour years and ]our savinss rccourt Inrlded 5% intercslipaid arDuallr', most neArh h.J$,rnuirh woxl.l )otr red

{Al $570{B) $600(cl $660(D) S77o

64. \Vhai b mosi ncarlt the rea.tnn ai A/

(A) 50 N(ts) 100 N(c) 130 N(D) 150 N

65. Fin.l tlic agliiu.t of the foNe ir Lhe monbcrmarkrl rvith ar "X. ' All nembers arL' pir-connccied

25N

II

(A) e.70 N(B) 27.3 N(c) 85.0 N(D) 223 N

N 50N 50N 50N 50N 50N 50N 25N

2Am

t { t t

66. The :rpproximiie verini.i.l 1brce component 'n

nolb.rr BC is

IIiIIII\

2300 N

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Exom l-Morning Sedion | |

(A) 990 N(B) 1300 N(c) 2300 N(D) 3600 N

67. Whai is most nearlJ ihe trictional forc betweDthe 80 ke block and the ramp? The coefrcient ofstaticlrictio is 0.2 aDd th coftjcient of dynamic hiction is0.15.

(A) 60 N(B) 80 N(c) eo N(D) 120 N

68. Force -F is gradually hcreased uxtil the 20 kg Lloch

begins no'nrg to the risht. Th{r 5 kB block is preventedhom moting by a cord. $ihat is most nearly the i imurll force F tor {hich molenreDt is possibl?

(A) 7.,r N(B) 5s N(o) 7l N(D) 81 N

4

69. Most ncarb-. vha50 N load? All putler-sstrainds are parallel.

(A) 8.3 N(B) 13 N(c) 17 N(D) 25 N

70. What is nost nearlv the mdimum value of r suclthat .F car be applied irithout tipping the blodr? (l :0. ,1.)

lbrce. .F. is required to lift aare hictionless. Assme a

(A) 1.5 m(B) 3.5 m(c) 4.4 m(D) 5.0 m

71. What is most narly the component of velocitype+endicular to th wall after impact if the cofficieDtof rcstitution is 0.8?

(A) 24 m/s(B) 30 m/s(c) 32 m/s(D) 40 m/s

72. The velocity of a pariicle at time I is

u1t1 = tzto 1!

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Il2 FElElT Sdnple Exminotiort

Nlost nearb. i.Ldt total djstance is travelea D.r$'eent:0.2 and , : 0.3?

(A) 0.e8{B) 1.8(C) 2.rr(D) 8..1

73. A spriris h,N a spr.hg coxstarr of 10 N/cm. It iscompressed 5 cn. The sprirg is rci.ascd and pushesagainsl a liee proiectile {iih a ass of 1 ks. Tbe proi cctile 1,'elociir nlmc.liaiely after losnrg corltact rvith thesp ns is nost xedh

(A) 0.32 n/s(B) r .6 n//s(C) 32 n,/s(D) 50 m/s

7,1. A rocket is nor-nrg ihrough a lacuum. lt ..hangsits velociir from 9020 nr/s to 5100 nl/s h 48 s. Thepo$r required to accompljsh lhis if the rockct s massis 213 000 hg is rx)st narh

(A) 34 c\\i(B) 120 Grr(c) 170 G\V(D) 250 G\\i

75. A proiociile is laurchd at 52 d.gree! Som hori-zonLal rvith aD initial velo.ity of 3600 n/s. If the massof ihe proiixiile js 32 kg irLat is nost Dearly the toi,alkireii. ard potential energy possesscd b). tlr{r projectile:it , : i3 s? Ncsleci all forms .Jf frictioir.

(A) 5.9 kJ(B) 0.58 l{J(c) 210 \rJ(D) 120 xrJ

Probleris 76 and 77 ar' based on the follos.ing stal,-

A 30 cm rons rod (f : 3 x 107 N/cmr, .! : 6 xl0 rr dtr/cn "C) wjr,h a 2 cm, cfoss secriion is fixed at

76. Ifthe rod is heaid lo 60'C abole the nl]urar LerFpiirature, what is most neafly tie stress?

(A) 110 N/or'?(BJ 11000 \/cm':(C) 36000 N/cn'?(D) 57000 N/cn,

77. If one end of ihe rod is lie Lo expard tlxr clonga-tion is most nearly

(.{) ;.a r 10 a crn(B) 3.6: 10 a cm(C) 0.01 cm(D) 0.03 cm

78. Vicki:rs, Xnr:np, urd Binll are all nades of(,{) Nobel priz{r s.inners in metaUurs\(B) the|mocltn:mic corstaDts(C) hddress tests(D) chi squared statisin,s

79. $-|rat is ihe nlrrinum fiexxral stress at a.usuncr from tlic See end of a ii,mtilever beam supportnrs atip load. P?

l ' l{l

L,I

1Ar i1:, , 2t

, ' , 2I

rct l : :, , 2I

(D) 2r l

80. Whai is most r.arh.rihe elonga ion in ihe cablc ifa : 1000 N? The c.rble's eftctil crois 2 crr'?. Its modulus of elastjcjiy is 1.5 : 106 N/cm,.

1000 N

(Al 0.0028 cn(B) 0.1a cnl{c) 0.28 cm(D) 0.56 cnr

' Prole5sionoJPubli(otiont,ln{.

l-

81. A sinpl]-s prrortcd Lean carries a sirrgle corcen-tr&iecl loacl at its cetrter. lf iis slerderness rar,io is 150.jt is most LikelJ lo lail

(A) wherc i.he mornert is zero(R) wh.e ti shear is maxnnun((l) at a suppori(D) ! l r ,h 1r" , , .1 .1, 1

FroblcnN 82 and tl3 d b^sed on th. folbirnrg st:itcmert aDd illNtrainrns.

The resr ts oI a tensile iest .Jr a rooDd specimelr of agi\n maierjal are shown.

AII+

lxom ] - Morning Seclion l3

84. 'fhe alunirun rod showr in tL. folloirnrg illuslrll-tion has an initial diarxit.r, d,,, of 30 mtr alcl ar nitiilgauge lenglh. 1,, ot 200 xtr!. TLe

.rield strngth is ,120MP:i. Wha is ihe modulus ot elasticiLt' iI a torce of 150k\ elorsates ih fod b."" 1.0 nlm?

27.6

13.8

82. Whai is rnost emly tle yield slressi(A) 26 kN/cn,2(ts) 28 kN/ctrt,(C) 2e kN,/c#(D) 31 k.\ /cur

83. \\ liat is urst rarh thc clasiic hrit ol lhe maie-fi|ll?

(r\) 26 k\/.n;(B) 28 h\/on'?(C) 31 k\/cuf(D) 3a kN/. '

1bo kN -

l4 ttltlT S{mple Exonhotiont

89. The radius of a hlpothetjcal elcctror orbil islorown to b 11.75 I. \\i]Iai is most near],r the de Broglirva!lenglih of the clcctror if lour comtrlete cycles con-stitut-" a stablc patterr around th{r nu.leus?

(Al o.rs A(B) 1.2 A(c) 2.r , {(D) 1.7.{

90. An orbilial(A) ma_v har. 2, 8, 18. or 32 electrons(R) nav hari, 2 clcctrorN $,itl thc saxF spin dir.

(() " , . .

.Lor . . "u lFr

(D) n.iy bi, unoccupied

91. ftn corrosi.,n i,o occllr. whnrli oftire lbllowingitems

IIL .htroh.tc

(A) r arcl II(B) I |lnd IU(C) II nnd rrr(D) r, I I , and III

92. A s-vstem consistnrg oI a tnixtuc .JI ice an.l {atrai a constant pr.ssure is warrned from l:l"C to 20'Cr.Tlolv nmy dcsr(ls of freedom dors tLe system lravei

(A) -1

1B) 0(cl 1(D) 2

93. A venturi mir is usod to easure air \L.xiitl_.A one-Iifth scale model of tlie venturi xrctiir is built.and $aier is rsed tri thc test fiuid. Viscositv of tleai| is 1.82 r l0 5 N s/#. Viscositt of thc water is9.E2 x l0 '1 \ s/nz. Nltat lvill be lihe rpproximaieraiio of ihe modcl to the actual velocitics obser\d:

(A) 0.32(B) 3.r(c) 11(D) 54

94. A 150 nl long surla.e vcssel is rnodele.l at 1:50.llosl nearlr'. wlat speed mNt the n1odi trald if.r 40kph similaritl is desircdl

(A) 0.22 nl /s(D) 1.5 mh(Cl 1.6 m/s(D) 2.2 rni s

95. \\i|at is most neaxlr tlxr L)Llraulic radirN ot miiquilateral triarglr (\otcx doirtrl oper chnrnl floNnisat full .rap.rcitv th a rtr:xnruln depil of ;l in']

(Al ri.tio m(B) 0.t i5 m(C) 0.70 nt(D) 0.75 n

96. A 2l .m long ro.l ooats l-ertitallj in Ndtcr. li tr,r!-(a 1 cm'? cross srdion and d specilic Aravitr. of 0.6. \lostDcarlv ehat lcnsih, ,, is suLnergedl

(A) e.6 cu(B) 1,1 d!(q 18 dr(D) 1e dr

97. -^ ta* is li11cd FiiL waier lo a dcpth oI L0 m. The

total foilr on thc gate is mofi nearh

(A) 90 kNlBl 110 hN(c) E80 kN(D) 9S0 kN

98. IiheD a t|in'bor., liolloF glttss lub. is nrscrislnrto a cortanrer of mer{rN'. tle surface of iho nercurt

l=--Prof essionol Publi(otions, lnr.

txon | -

liloming S.dion l5

(A) is lcld with the surfa.e of ihe mf.ury in tlic

(B) is beio\\' ihe coDiaiDer surfe due to ..J],sior(C) is below rhe contanrer surftux, due to adhesi.Jn(D) is .ho\.e the container surfdce due ro cohesjoll

99. The fluid in a manomelier ttrhc is 6070 {aler nld40% alcohol (specilic sra\-itn' : 0.8). \\ihat is moslrrarh th. maDomeiij flrid h{rislt dilTerence ifa.12.7liPapressu.c dilTcrcrcc is .rpplnd adoss lhe l{o ends of the

(A) 23 .m(B) l? or(Ci)

'170 cn(D) 550 c]il

100. Ca.bor dioxme (COr) sas has a nrolecLLlar weishlof 11. The densiry of STP air is 1.29 kg/m'. Tlspcific A alitl' of C-:O, gas ai 66'Cl jlr.l 138 kPa. usirrgSTP air as refernc, is most n.arlv

(A) 0.67(B) 1.1(c) 1.7(D) 2.1

101. -0\ q0nm ]runp is usecl to drain a baseuc i of

20'0 s.aref. Tli. upor pressure of $atr ni ilris 1i.rLpcraliu. is 2.31 kPa. Tlic pump is incapable of liftnrgq., r l ' r '1, , , 4. i l . , , ro

'h"r r ' . . . ' .

(A) 100 kPa{B) 1;0 kPa1C) 210 kl 'a{D) 270 hl'a

102. Slr coulonrbs of chaxge pass throtrgh a wirc h 2 s.\\ihat is rnosr neaxly ihe ar?ragc .lncrt lloNing?

(A) 1.6 A(B) 3A(c) .1.8 AlD) 6A

103. Atr ideal tra sfornler has 200 pdnafl iuf s n cl20 secordarl iurns. $:hal is nrost n+rh the secondafv\olrage iI the pfinary \oliage is 120 V?

(A) 1.2 V(B) 12 v(c) 120 v(D) r200 Y

104. Tf 0.3 ,{ fiows in the secondar]' and 30 A floFs irlihe prnnary of a perle(l,IJ marc.he.l, idenl trabforrier,s,lnt is most rrearlt lhe pimar"v to srurlnv tlrlf,s

(^) l :100(ts) 1:10(c) 1o:1(D) 100:1

105. Iire watis ax djssipate.l nr a prinal\ (uplrtl.irddt thai hclrrdes a prlecih mat.ilxxl, iLLL:al trans-lorner i'ith a p maT-to second:rv tulns ratio oI 1;:l.lf the irlput rc-.istdxxr is 2000 Q, rhat is riosi. neaxhtlie loed resistancc?

(A) E.e 0(B) i3o i)(c) 6.2 kll(D) 30 krl

106. \\rhat is th total enersr dissitlied irL the rsisiorsnxxr tli. .afrcitor dis..lNecs?

'swrkh\L --l=Y

{^) r '?R(Rt ;cl;(c) cl,(D) j.-'r.r

107. What is lrost rreirly ih phase argl.r difldencebetween lhe curert a d the voltage? Tak tl1. \1)li|1ge

120 V

60 Hz

(Al 60'(B) 35"(c) -30"(D)

-F30.

108. \ihat is ost eixly lhe p|asof vrhia8c .Lrop".

. . , t l ' u rel t , , . r .e-

Pmfessionol Publi(olion5, lnc

l6 FE/III S{ntle Exminolionr

{,A) 0.80116.n'v(D) 1.2r 53.7' Yic) 5.0136.1J' v(D) 6.01 20.0'\ i

109. Ts.o 10 f) r{isislrncs itre connected in ParallelThis combnulion is conneded tu s s with a caPa'ltorot 5 pF. The circuit is conn{rcted .l.loss a DC sdn'e,o,dtp fcr \ . \ \ , " r - .u

- , ' ,1 rh" ' ' r Istead! stale cuNent throue,h the bnttervl

{,\) 10 fr(B) 11 O(o) 20 r)(D) 21 o

112. $rhal ax. ihe thans{rs nrtcnn1l endgl lor reversibl adiabatic aDd isothermnl processcs. respectively?

$) C,AT and 0(B) o and C"AT(C) C"A" a d a'pa"(D) a'..AI ard tt

113. A stean exgine operates bet\r 150'C andt;r ' \ lhr ' . ros rr ' r jthermai efiicnrct'?

lA) 27,t1(BJ 4e%([]) 7:l%(D) e5%

114. Rega rdlcss .,f ihe procss. the chanse in erthalpr(A-") for n noles of an icleal gas is

iAr 14I. , y(B) 0(c) na;al(D) nC,,l1

115. $hjch of the lollorvirg statonerris is trui(A) E tropy alwaxs deiireases(B) Ertrop! nt.reases up to the citnial lenrpera

t]rre, and tln it dccrea.ses(O Theortn,aly ntropl afproachs 7em as th(l

te peratue apProacnes zro(D) None of tho abo\ stulernents ar true

116. \\rhctr is ih .quar,ion ?dS: rrdl,'- * dU rtlid?

e) onlv coust:nt temFrratu procress-os(B)

' . i ' , , , 'pp" In. F

(C) only in rr'ebibl Proccsses(n) always

117. Wlich of lhe lollowins stai,ernoits is truc lor ape lr.i p,as floving tlrrough :n insulated vallP?

(,4) Erthalpl is (ssentiallv ulch:nged(D) Extrop: de(leass(C) Temperaturc incrascs grcatlv(D) l'lo{ is istnrropi..

\jt6l a

( / /3)o

(A) 0(B) 1r\(c) 5A(D) 7A

110. Thc voltage appearinP, across the I 0 resisior i-'

120 V

(A) 27 v(B) 40 V(c) 80 v(D) 120 \r

111. I series nrc cilcrtit dri\n bJ ar rlc voliascconiains reacianc.-.I, -- 20 0 and Ja.r = u A and r''sistarce

-R : l0 Q. What is nrost xe lv thc impedanceat resonailt tiequncv I

10 !)

50v

Prof es:ionol Publkolions, Inc

Errm l-Mor ng Sedion l7

118. If an initi.i.l 1-olure of an ideal eas is compressdto one half its orignlal volrme and to tvice its originaltempoature. the pressure

(A) reman$ coDsiant(B) doubles(C) quadmples(D) halves

120, Whi(h of rhe following is true of ar ai:liabatic

(A) It allows heat transler into ihe system but notout of the svstem.

(B) It may be reversible.(C) It is one nr which enthalpy remains unchansed.(D) It is one in whic]i thc equation I4'' = O is valid.

119. Ifparded

(A)(B)(c)(D)

ar iniiial volume of saturated st$m isisothermally io twicc the initial vollme,

hahs

Prolesionol Publicotions, lnr.

InstructionsThis se.tjon ofth. crrn cor]sists of 120 p.oblms. eic.heorlih I point. Y.Ju will ha\,e fbrtr lLours in which towork rlis serti:,n. \bur s.oF Fill be derermnul b! urcnunbel oJ problms ihat lou sol'e corre.th'. No poirtswill b ddr.t.r.l lbr inoucct arlswers. It i-{ to }ou besladrEntage tu tn.tr) ansircr everl qrtsinnt.\\jhcr |crnission has ben gircn lN lour proclior. br.aktlre seal or the Edaminari(trr Booklel an.l r.rx)\. tli(lAl]s$'er Sleei. \\ilii lou Muc imfrdialic]! nr tltcspa( incli(ate.l. Cle.t thai a1l piges axe |lescrt dr.lF r ' - . l t . , . . . t . , , r , t i . 8. . " r i . rs. .or l

proclor s.ill issrr lou r nc$' Booklei.

{11 sohltnDs uust Le Ilrered on li}rc Ars\ver Shixi. No.r(dili Nill be giren lor answe.s arpearinB onl! in tllilEuunuti.Jr Booklet. Ilark tur aN$'ers $'ithth. II!(il provicled. N{a.r'ks Dtust b.r dark rillcl musi (xrxplctlt'Iill thc bubble. Recorcl onll.on{r ax$'er per t)Io})lux: iIrur nuh uore l,han on ansecr. Jou Nill rot lcceileiir(rlit for the problern. Tf 1ul (lurge |ln ans\.cr . Lc , urihc olil bubLle is rase.l conpl.t.lvi jncoDrrlde elnsuresnal bc read m interclecl amircrs.

It Jor Iirish earh'. iilxr|k loul s,ork and nake s'ne ]ulhave corrctly lirlld\(d nll iDsiructnDs. Alter .h..knrsIou anss,ers, rotr nur turr jn }.our Exarihatnrn Booklet ard AnsRi SL..t ard lea\,e thc cxamnratn)n lootr'Onc ).ou learr, lur

'\,ill rot be prrriiie.l to r'rtnn io

$'ork on I our sohrinms.

Do rot {ork anJ problerns hom tlie Afternoor Seci.loilof tlic exa duing th fibt fou Lours ot t1[s exan].

\\ATT FOR PENN1ISS1ON TO BE(+IN.

lxon 2 - ivloning Sedion 33

Last lirst XIiddlel ti:i.L

FUNDAMENTALS OF ENGINEERINGSAMPLE EXAMINAIION

IXAM 2M0R tNG St(Tt01{

Subject BreakdownThe nnior subj(tt arcas arcl lleir corr.sporciirlg problem rnubcrs ruc listed below.

llathenlaticsEngnreernrg aD.l Probabilitl SLaiisticsCh.inisrn

l]thnrs and Busnrcss l'r'aciicesl]nsirxrrrirg Elror.,uicsEnsiriccrirs \lcchani.s

(Statn,s rurt Dyrariics)Str{insih of l'tatcria]s\Idtcrinl Pror)r)rticsFl 1 \rllltunnrsElcctricitt. dtrd \Iagrelisrn

1lE19 2t;27 36:li 1!),16 5.155 6:l

6.1 7570 818; 11293 101

r02 i11112 1:0

Prolessionol Publioiions, ln(.

Morning Seclion

r r .O@O@12.@@@@33.O@OOta@@@@r;.@@@@rri O@O O3?@@@O.r8@@O@3!@@CO@ro@@OOrr.O@@@1:O@@O1:.O@OO1rO@O@a5.O@O@16.O@@@17@@O@as.O@@@ae.@@@@50.O@OO5r.@@O@5r@OOO53@@@O51@@OO55O@OO56O@OOi7O@@O58O@O@5{rO@OO6(,.O@O1-

Exom 2- Mo ing Sedion 35

Fundamentals of Engineering Sample Examination

1. @@OO2 O@(D@,r. O@@@L O@O@i O@CD@)6. O@@O?. O@@@8 G)@)O@e. O@@@10.O@@@nO@O@12.@@O@13.O@O@r1 @@O@li.@@O@16.@@O@r7O@@@r8O@O@reO@@O2r.O@O@:r.O@OO?:.O@OO2r.O@O@2r.O@O@2r'rO@OO26.O@COO2?.@@O@i8@@@O2e.O@CO@ro.@@O@

6r.@@O@62.O@O@rB.@@@O64@@O@6..G)@O@LiLi .@@O@6?.@@O@68G)@OO6eG)@O@zo@@@@7rO@OO?2O@OJOirO@@@rrO@O@?i.O@@@r!.O@O@Tr.O@OO?8O@O@Te.@@@@80.@@@@sr.O@COCD8r.@@O@83.@O@@r1 G)@@O8i.@@O@86G)@O@8?O@@OBEO@@OElrG)@@O!!O@OO

er.@@@Oe2.O@@@er.O@@Oir4O@@@er.c)@@@e6.@oOOe?.O@OO!8.@@OOlre.D@O@100. G) @ @ O1or.O @ O O1oz.@ @ @ Oro:r O @ @ (Dr{ra. O @ @ O1{r;. O @ O O1160@OOL!7O@OOro8o@OOroro@O-r lo @ O Cr11.@ @ O Ori : .@ @ O O1i! .@ @ @ O11r.@ @ O Orr i@@@@116.@ @ O O11?.O @ O Or8.@@@Orle. (O @ O O120.0 @ @ O

Prolessionol Publiolion5, ln(.

Ertln 2 -

tJloniig Sedion 37

1. $ h.rt is tle slope ofthc 1in tangcnt to th. Parabolay: 12xtr +3 at a point thcre r : 5 ' l

(A) 21(B) 12r-)(c) J03(D) 5L;

2. \\ihich ofthr: follorving equations corrcctl) d{rs(irilcsthe shaded axea of tlic r s planei'

(A) 2r-r6

3. $ihat is tle (t, !) s(rlution lor thc folloFnre, svstenof tnt) si ultanous .qnatioDsl

5. What is tlte cterivatile Fiih resp.t to r o1\';:rt'!

/2r + l .z(B) ea+1(C) \,t+ 18'(l) (sz + t)l{.rT-7

6. \\ihat is th. lnlitl

t , . /10r, 5r+1\l::" \ 6. 31,ra 7

(x) 1/3(B) 0(ct 5 i6{D) 1

7. $rhnt is ihe int{isral .jt(..t + L)rl.t:!

' - ( - { ) t - r r+a- '(n)

"_:(cr) ;_- ;+c(D) x3 ' r r '?+ C

(B)

31 6u:72x rl11 : 5

(A)

(c)(D)

\\ihat is lhe simplifid eLtui\"lent crprcssnD of

f ^ , r? rr11,i,r, A1 1 --L

(A) 2 sjnr d(B) 2cos-,

- r l(c) 2cos' ,(D) 1

8. Hoir rl|llly significalt digiis are therc nr i1re .uml)cr023059.11005?

1r' (A) j, (B) e

(c) 10(D) 11

9. Tle hoizont..l anglc from the erourd to tlc iopof a palm tree so c unk .,$'n distaDce rw.,v is 161E".At a foint .10 n dire.llx behind the lrst point, ihehorizontal anglc t.J the top of thc tree is 29.2:l'. Whatis nxrst r.arhj tLe distance from the Palm tiee io th

1^) a2 m(B) 16 ur(c) ;1(D) 61 m

/107 29\\ r t ' - ,1/ 17 1\\ ' i5 l ; i

/ i07 29\\ ,1 ' t l/ 107 106 \\ , ls r5 l

10. \\ih^t is most !arly t! a.ute angie b.tfter vectors vr : (3,2 1) llnd V, = (2.3.2) basrl Ar i he orj

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3E FElElT Somple Exmimtiont

(A) 25'(B) Ji].1c) 35'(D) 5e'

11. What is nlost nearlv thc interiorFstrlar polrgon i.ith sc\1r snlcs?

(c)(D)

3ta')

2ta')3

15. \ \ lLr t : , r , rL"\ .Jrr . ' , fEr nnL1Bz-

(B)

l: rl l;:l: til

(Al ;1'(B) 61"(c) 116"(D) 12e"

12. U ]nch of tlie foll.Jirirrg stai,"ments is true corcrn-itrg the :l-nylor series xpaNior lor .os:,1

(-^.) Thc scrn,s ortanrs onll' odd poFcrs or iz.(q) Thc s.ri(s orianrs only even pos.ers o1r.(C) Thc s(rns (u,tai .Jnly Desa:tiv,,.,dd poirers

(D) Thc soics coxtanrs onlJ e!ryothr ocld po{.er

13. -:i and -B arc sul,sets .,I Q.

.1 : (1,7 9)B = (4,5 e. 10)Q = (4.5 6,7.8 9,101

\\ ihat is;uBi '( . { ) (4, i ,6. 7, 8.9. r0 l(B) (4, ; ,7, e, ro)(q) (1, ; ,6. 8, e. ro l(D) ( i , l0)

(A] DI:

(B) B' :

lC) Br =(D) ; ' :

16. $'hat 1i).pc of difl.rliitial equiiion is this'l(-q) homoseueous(B) se.ond ordI linoar(c) non rine:f(D) fi6i order scparahlc

I'roblems 16 ard 17 are base.t or th f'olloirnrg e{tualiou.

r ! '+: lx-1=0

\

1-720 ' 2lr

7-1)n "' 2t)

l -7

I t ) t 82:24

t 1,1. Iihait is ihe total ar.a i$nkr l,he carclioi(], 'l

17. Thc solution tor this equatnnr is(A) ! : l ' r (1 3r)+C

I(B) ! : 3+C(C) , : ln: . : l /+C{D) ! : rnr ;+c

18. Consi.lr rhree \ectors. ,,1 B. and C. r.itl the firllos,nrs iso pmpertles.

l rA Fr : r rEraI

Prolessionol P!blidioni, ln(.

Erom 2 -Morning Sedior 39

$'Licli of t[c follofnrg rtrust be lrue:'(A) f IE(B) ,,1. B. ard

-

are coplanm(0 r t .(D) rrrotorC

19. Seler xrcdsurcxniits de tRler: i1.31.1.33. 4.36. 1.32, ard 4.37. \ \ l lat is rnosisample siandard deviati.,x?

(A) o.o1;5(B) 0.0167(c) o.o2e1(D) 0.0313

(A) I in l0{B) 2 in r0(C) 5 jn r0{D) 7 in l0

2.1. \\ihai is approximiiilr ihe sample siardard devialii{rn of tli data sei { 17. 18, 2a. and i}3}"

(A) 5.8(B) 6.5(!l) z.:(D) 8.1)

25. Orr l.i1eragc, a furDituro store sells tour cald ta-Lh- r

" "" . C., , i , .

' 111." J r ,u t

exactly se1.e1lcard tables a giler week is most nearlv

1A) 0.060lD) 0.075(c) 0.11(D) 0.15

26. Thc lcast sqrur.s method is used i,o plot a siraisht]nrc though 1ihi, d.rta points (2,10), (1.9). (6,6). dd(7.1). fhe slope of thc lnrc is mosi, nearlr'

(r\) Ll(B) 1.2(c) 1. ;(D) 1.7

Probleus 27 31 arc Lased on the following fornulas.I CrH2rr. lcHr)j]oIII. CzHsBrIV, C2H5COOHv. crHl

' 27. $'hi..h lbrmula(s) describ a carboxv1ni a.id](A) III and IV(B) n only(Cr) II and IV(D) rr1 on]y

28. Which fornula(s) des.libe an alkaner(A) lll onlr(B) v onlv(C) I antl v(D) no e of the abo'e

4.39.. t .38,

20. Sj-\ design engineers ar ligible tor proxbtnD topay grade GE. bul onlJ fouf spots arc tr'ailable. How' . I d f i "

"

nr r . -nr . , . l l_ i r Fp . br-

(A) 1(B) ii(c) 15(D) 20

21. ,{ coin is tossecl thre tinnrs. What is lle approxi-rnate probability ol lea.ls Arperrins r1t lellsi ore tinre?

(A) 0.67(B) 0.75(c) o.sn(D) 0.88

22. Six bo:rd ncmboN of an crgi eering tirm neetir 1ih. ixDirr{rxlr roon. Thc confcrente tablc is roundard has six nlentical scats. How nEr."" uniqrxr satirsconbimtions exjsil (Do rol courl roratnrns. SLiftirgeadr peNon one seal to lhe lefi $,ould rot result :1

(-\) 2.1{ts) 120(c) 210(D) ?20

23. A deck of ien chil.lreD's cards .ortains r|ree fish.:rds. t{'o.log cards :n.l ti\1r iiat cards. Whai is iheprobabilitl' of (lrawnrs citlr a cat cald or a doB cardtron a full deck?

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FElElT so'nple Exo"!i"oliont

\. 30. wlricl fbrnmla(sl d{rcdbc a el|er''7(A) lv.,nlr(B) II on\'(C) II and rV(D) rlr orlv

29. \ \1, , n . ( .1. . ' - . ib. " ,d l r '

(A) I orl:.(B) v onl](C) I ancl v(D) lrr onrv

Problins :15 and 36 :rc based on the folloNnlg star-

Ten kilograms of oryger and, kg oflr'drogen are mixcdirr a r m3 vessel. The nixtrrc is rt 30{lK, and nritiaLlyno rcaction t^kcs pl:r{r.

35. \hat is Dost trc.txlt ihe paftial pr{issure ot tietrl.dfoge ?

(A) 2.5 NIPa(B) 3.a Ntl'a(c) 5.0 Nl l ,a(D) 12 \rPa

36. A spark iiauses tlre Lydrogen and oxrscr to rea{-lto forn ilatd. Assrnxirg c.,tnplete .onlNtior, apprfnxar.elr ho" lruch wnter js pro.luce.l'l

(.{) 5.6 ks(B) 11 l tg(C) 12 kg(D) lE kg

37. $rhat is u)st xearly the o\tnll

31. Iihicn ftmn a(s) ,lcs.ribe aD alkyt halide?(A) l.t onh(ts) IlI orlr(C) I I ard TTT{D) I o ' ,h

32. A h.v.lrat is a

(B)(q(Dj

(c)(D)

33.'INo noles of h]drog{Ji rca(t wiLlr'l molc of oxtBenio produce w|icl of the foild\.iDg?

truflef solution of $,atcrr .po- ' | . . ,

' , l ' . tsF, " r r 'J ' ian elemni less eleiitroDcgatn itrn itsclf

rntLo'o"r"r" f 'ter molecules in its clxJli.al composiinnrsall conlaining rhe h)droxtl ridjcal

2 moles of $aier s.i1ih 1 Drole ol hldrogoi lcft

(.{) 1.6 dB(ts) 12 dts(q) 1.1d8(D) 10 clB

34. Ter kilograns oflrrtroeer sas (IIr) axc lrixd wiil,J.')5 kg of .hl.r tu, (allr) iri a 0.50 mr .tnu. The tivogases react to prodrcc lr-droger c|loridc. \Vhai is theliiral p..ssurc ir tirc drutu if tle final tcnperature is60.c?

(A) 0.055 NtPa(R) r .0 MPn((l) 10 \rl]'|l(D) 5; \ rPr

88. Irhat is mosr narh.rhc o\.cral gajn. r.,/',. oftllelollos.nru positive 1e.lback svsten?

(A) 12(B) 15(c) 18{D) 21

Pmfessionol Publirolions, Inc

txom 2-Mor rg Seclion 4l

(()

: [: i]l;;iill * ill[::ll]l: ;:, ;ll [::ltiJ.l'l] [;;iij]: lt, ;l[l;ii]l . liil[;ril]l

', l;lltil : [l 1][::it]l . [r]l:;llll

Problems .11:l .:12 are bascd or tlle lollowins st:itenerltand i l lushai ion.

Tlie sl'st \rhose block diasr{ri is sho$.n is golcnedbr lle lollo$'irg difterential c(iuation.

39. \\ihni oftli. fo11o$'nrg s)sims is corltrollablel

a(t) :10r(11 16Ct)c(o) : n

40. \\iha is th. trallsfer turction, c(s) : C(i)/nis).

l6's l l )

10

(C) 10s + 16.-. s l t i

l ( l

,11. \\ihici ol the tnliN,nrts is an expr.ssior 1br 11(r)i

1or i(c) 8/5(D) 8.s

42. \rhat lalue cloes al(ll npproach as t approarhesi$xit]' it r(l) is sil.en b! 2z(ll? (u(l) is the rnli, siep

(A) 5/ '1(B) 0(c) 8/5(D) 5//i1

ProblelN 43 15 are based on the tirllin irg slaternnt

A system has a transfer lirncii(tri gi'i\r br

[;lil][:tll]l;:i'l

r -B

15

43. Tlrc slsli{D L(xqtrcs ursiiible when a &ivnlg lrnDrls{, s.ilih a tu.qudx1 of 6 Hz is aprlnrd. \[r'ai rs yl

(A) 5(B) 3(cl t(D) 0

44. The s1'st.rm is sial)lc Nhen no impulse is appli{rl.\\hat is th{r \.nhxr of 31

(A) t )(B) 6(c) 8iDl 10

45. Ho$.marJ poles does thc sysieo hnrt?(,\l 0(ts) 1(c) 2(D) 3

46. Tf ih case olar etli.: .ox1]itl. whi.h drtii\ laki

(AJ so(iery(B) the client(Cl) rfe enrdoyeriD) societ) iDd thc .lnrnt are equal and tdie prec

47. \\ h., o{iN the righis to invrtio s t|at arisc dur-nis rvork 1or a client if no rrn)l specrifications rcgardirgirverlions is madei

(.{) Lhe in'e11tof(B) the i1l\ertor s cornpaN(C) rhe (ljent(D) ihe siate

Prolersionol Publiolions, Int

42 FtltlT 9onple Exrninoliors

48. \\ |lch of rhe lillowins is an cr.hlcs lio atlon specificalh inchrded nr thc NCEES vinlple .o.lc of eihn s'l

(A) ar ergineeiing prolirssor ''rlroorhg|ting" rs .Prmre .onrra.ftrr

(B) an.ngnxu nnr-.tnrg one) in r,lL{r s1io.k of th.conpul for NhitL Lelrhe {orks

,o. i , rp" 'siBnirg the plans fbr ar (l(itri( {erraLol

fD) none ol lLe above

!19. \\iho Drs l.sisirrDrts roordlnaie .ntire phie.rtsl

(A) it ench s{,snn,rt is sisrc.L ard seald bt rsistrntrlis ies|oDsibl. ftrr the specifi. segments

(Bl at no t inxl(C) $ith a sp(rial ixrtification(Dl i l r l l rs} \ ts of iL. p lo jeci l ie x, i th iD t l1. r .s

isiratrr s rr.a of cxrcrlise

50. \\hirh of t[c f.,]lorriDA js nor an ctlics lio] .ior?(,\l d.sis rrs n produ.l lo 1ai] ir1 a srxt itic.l tru

lxr of r.cusiB) {jlargnrs ! t)rcriiurn lor a sDpor r t)roductlci usnie pro(r(Ls fron] nne producl order io

i.ll dnolihcr froLlucL below lrn ndkei ptclDl all of ih{r aLolr

51. [']rer is lL ethlcal to issrr. statcrrerts on tecllricilissres nNpir'ed bJ lnterested parti( s?

1-\l ri ro tnnclB) il ro cox,pelisai,i,rD is r..ivi(Cl il ilere is !o personnl irit{rrcst in ihe lssue(D) ;t Lhe irteresied parii{rs ard iheir inreresis are

eipliclLl) re'aled

52. To Nhom .loes a proltssiurd har.e erhical respoirs ib ih i iesl

iA) t re emploler(Bl c.nsmds(C) (trr1p{rliitorsiD) all of th. aholc

53., . . ' ' . . . o, l . I

(A) rlercr eihifal(B) erhicil onll if ii difectl,\' l.lates to public salery

and weLlareicl ethical iI tr\tl,frrl(D) none of the aboril

54. \l'li.h entitl tass..s {rrgir.erirg rgislratnni las.sesirLlishirLg tli. nnLnnDr rdieria requir.rd ti) prot(!ii

(,\) srat{r l.sishhir(l(B) profissioralsocictics(CJ u,riiotrlll Loarcl oI registrarioil(Dl i r te l r ioral reAjs iernrg.ou. i ls

55. Th. (x)st of producnrg ar iLen is rrrs.rnicd bvthe f.Jll.Jirnrg cqruiior.

G:S25,{100+0.0iJP

P reprcse Lsthenu ber ol j tenrs prodrxld. ut le i i iusare sold tol 51.50 earh, approxnratdl hoir rly{ 1lnsr,be sold io breAl ever?

lAt 1100lB) 16,700(cr) 17.000iDl 7,;or-)

56. A ti.LorJ is rumlrg at 80% cfli.nlc) \,lth a fiJedcosi ol 53{100, a variable cost pcr urit oI S5. . sllingpiice per lllrji, ol S L6, an.l lj produriior .api!ir! of;l)l)(l

nits. \\rhat is the appro\imatc {rurrenl profit ol lMfictoir if all products rnanrrficliurcd .rle soldl'

(-\l 11.ooo(B) Sll.ooo(c) s52,ooo(Dl s5.;,ooo

57. ,\ rroposal is na.l{r to bu"v ii lllac.lrin 1i)f S1;0.000.Th{r.xp{r.t.id s{Tr.i..lif{) is 15 yr $ill zero sahagc 1aluc.\\'het is nrosl ileaill th{r ..rpitalized cosi il th.r xraihnxlis kopt iD serlicc nr.l.finit.h ? I'he inieresr r^t. i-. 8%.

(Al $15o.ooolRl $ r75,00r-)(c) $2 r9,00r-)(D) l t225,000

58. Approiimatel) how mtch nurey sLoLrkl b de-posited fo\! ir a sa|ifgs n..ount to tield $1000 tu ti )rl'Th. arnral intoest raic is 10%. compoundd scmialrurll1r

(A) 5159(B) s5;7(c) s56:iD) 56;-9

L Prolersionol Publimlion5, ln(.

Exom 2 -Morning Sedior 43

59. A su]]l oI mone) is cleposii.] no\! nr a salings ac-count. lhe elle(ti\e afnual inlerst fate is l2%. andinieresi, is conrpoun.led Donihh. r\pprorimaiely howmrrcl mo.e_v rnust be .l.positd to tield $;00 at the

(_A) Sr53(B) S416(C) Si151(D) S5oo

60.,{ loan of $5000 is made lor 5 vI at r snlple inlerestrate of 8% per vf. TTow much total irt{rrcst is paid?

(A) $1oo(ts) $2ooo(c) $5000(D) $7ooo

61. You decide fo sa{e a xrlitorD,rrourt at tle endof eacl nl.Jrih tor 12 noni,hs so I'or s,ill irale the $1000at tle erlcl .,I L rr. The bank rvherc rou ha .e a sar-lrrgs :(lrounl pays 6% inlerest per nDuxr compoundedltiorihh. Ho\, nmch moneJ do l,orr n(rl to deposii each

(r) $70(B) $78(c) sE1(D) St3

62. 59000 is t.J be irvesLed roi, at 7% cfciive annualnrtdcsi. A wiihdr:i\\'al ls lo be mail. at the errd ol achred for 10 .'r. Ihe L{l aunual {.itll.lrawals irill be equal,ard ile ienih rill exhausi ih. fi1nd. TLc amount ofeachwithctra$.al is nrost neail"!

(r) $1ooo(B) ! i1100(c) $1200(q) $1300

63. A sunl of S60,000 lvill be n{!.ki for buil.lnrg impmremnts ir 5 yi. To geDerali{r this |rmouni, a siDkingfiurl:l is establishd nrro {hi.h thur L,qLral payturnts l,illbe nrade, one nr the end ot' ca.rh of the first ll v|. ]\1:tI tle third yar. no frrrthcr pavrrenls $.ill hc m.rdc. 111r pf- . !p. n, 1 l r ' | . q o

' \ " ' .

p.1, r , t . , r , r . " l " . i ,

(.A) sr6,000(R) Sr7.000(c) 5111.000(D) ! j22.000

64. n)r ihe systern ofpullers shorvn, nost rlearlJ $'hai1or... P. is reqrir.] to lili tho 1000 N l.dd? Assurneth. pull.vs are liiciionless and \dstrtlcss.

(,\) 12; N(B) 250 \(c) 3i]0 \(D) 500 \

65. A crbe of s'eiglrt W and sjde lenr,th d is :it reslo a flal surlace wjth a lriciion coficnrnt of s. A corclatlic|ed to iis top dge is pulld in a hodzonlal direcii.,n. The vniue ot ll tor which it is nnpossible r.o pre,:licts.]leiher lhe crbe will lip or slid is most rearlJ

l-_________4-

(A) r , :#(B) l,: +(C) / , :0 25{D) /., : ri..r

66. A 500 N lirrft. F, is dircctcd as s|own. \\rhat i- IJ.3

Tli{r block js stidnrg.f; , , ' = xrd = (60i.2 t, t)(0.1i) : s0. r7 N

t t8. - i , . .F, , ,u- . o- . . o ' In! . .p r , . .

F1 3 --

pN -

p1f : ynts

= (r.rtO rte) (e.s1 +):7.36 N

Th{, li.ebo.h diasraDl of tiic to,i.cf btock is

[ : F1 ;-Fpa' ;Jr \ n. j {Lr . .n

-

. - . .e / , , .8t\

:80.9 t IAnswer is D.

_ 50N

r' : 3

=1667N (17\)

70, \n"r ' . . , t . "

n"r ; , , i1. | " .1, , i r ' . . u. uL

] . . . . . ' , " ' : .s i ' . ' ' | | ' Io ' i l ' '1- , . , o . l r : . . . r . r , -De taken about rhe .orner ro ditermiixj

f ,r.r,,,,,". .,",,, ..,, ".

= o. ( -n \ t r I l l l r ; r r . , r : , ,

\ ,2 /r :5.0 nL

ll;,]illl.", force js nor'*i i{, *rc wal rn ih. r 9d

(z\\i'i-m/,,,r: (,:,.s) (50 !)

= 2.1 n/s

72. , : f , ,at :1, ( , " ' , r )"=. (+r; + i rL 4:;: (51 ({0.3)5 (0.2)5) +7rn;=: . i11 l2. i i )

Pro lesi ionol Publkotions, In..

Solulioff for lron l-l$orniio Sediol 77

r

73. t " :_

:

l t - r \ - : -

A.Er i- . : -

At' -\:

_

: r : ro. , * .1r 9 1t 1, n. - 1 )

78. Answer is C.

79. The use of uriable . to rcprcsenr, the entrle t){ramdeplih is noDsiandard.

M (t \o,

^" , : - j - : f t ' 21

80. The cable length is

, : !{i o')t+ (+ llip = r *lhc iiable insion is found bv simitar riangles.

/ i , , \r : l ; l ( t0u \ ) : t lur N\ r n/

The elong:rtion is

7/ l roo/ l l t r nr t t lu, Id =:1= nl ,

(1667 \)(s n) (1oo !9)AE

*)

i i roo l )

i .6 rd/t

71.

1!s:122.8 x 10r \ f i ] . r c\ f)

Answer is B.

75. The iniiinl knreric en.{i.ij x l00(" .1! l

(2c#)cn (0.28

",- 2

/ . rz.e,{rcm - t ' \ / ^ , ,

\t : r l ( ; . ' " l

= 207 M,I (210 \rJlr\fier hunch, som ol the kinetjc enorgt witl be trals-l.rrmed into por.nrial ererg\-. bul ih iotat eneqy s,iu

76. u-\ / ( . u - . I ,uo, /\ ,m'C./

: 0.00036

at' : ,cih : (:o '

ro" l) 1o.ooo;r,'1\ c'11,./

: r0800 N/cr l , (1r000 N,/cmr)

77.

:0.27E

is C.

d: .ih /,, : (0.00036)(30 cn,:0.0108 cm (0.1 cn)

c.

81. A hisl sleDdemess ratio mellns rtur the bean eiufail due to bendirs momert. The synmcirv ofthe beanindicales thai re,i.tions {.i11 be ihe saur ai eiiher erit..1/nax is at the cnier, wh.rc ile siopc of ih deflectior

82. for tlis material t|e strcss required to continuelhe d.fomation drops markeLlly rr 1,jetd.

d,/ : 31 kN/cm,

Answer is D.

83. The elastic tjmii ls 1rI], close to rhe yjetd poilri.

o"l*ri rt,.ii : 31 kN/cm,

Profesrionol Publi(0 ons, Inc

78 ftlEll S{nple lxominotiont

84. A: nr2 : lL.l

-

\ Liu rnrn r I tul tu mt ,1

:707r l r l In '?

,,,u"(+P)I 7.{17 x 10

' rn ' :

J \ ' : i , i , l

Answer is C.

85. .\ll rturials halo snril:u stress-sirain orves. so d+formatnni nrto th. plastic legiorl will prodnce resi.hulstrdr in all urtnls.

86. ,{r irnpacL iesi measures the .incrgy reede.l toffa.lure Lhe iesL saniple. This is a tougllless pdau

87. Chst iron is iron with 2% or !r.,r'e carbof. Steelshar.e liom 0.111% io 2% carbon.

88. Ex.ess Fater decreases .oncrete srr(lgth.

'2- t (2n){0. ; rA)

:1.18A

Answer is B.

90. Ar .,rbilal is a spatiil approxnnatnm of a |rohabilitJ lunctjon descibirg ihe likolihood of firdils ar

electror nr a (!tn r{rgidr. lt xraj be occupied hy 0.1. or 2 elc.troLs $,ith opr)osnrg spin djrections.

91. R[ mrrosbn to occrr. th{]r{r rtrust be ii! anodean.] a catliodc i!nn{!t.d throus}r dtr elecLroltle.

92. Since soli:l and lj.tujd plrases nie rr(isort si ultan(nNly, the nufrbei ol pfases. P, is 2. Thc onl) clcxrert nrdled is water. so tle numlx! of coupounds.C. is 1.

P+l ' : ( . :+2t+tr :1+,

F-L

93. Use of a vertui nrter inlrlnrs pitr floi\,. whiclr

( \ . )*r*r : ( ' rh")-"aaThe units gnen lor the viscosii) are tur alsolutr' \'is..,siit, not kifematic viscoslt].

p. '\'-n. r I- " d.'"r

p", r *\i"&rer I nrdd

: ) t2.2 Pa

' L 2i)0 mm:0.005 lxn/mm

212.2 x 106 Pa

0.(xlt

: 0.3237 (1.321

94. Ass n]e partial sinilarit: bas.d or thc lroudenumbcr snrce the fluid is lot mentirnxrl. (lioucle DLLIlILd sirnil^it! is approrriali{r 1br uxldnrg olsuriice !es-

L.l

" :" : rL",g Lll

:1.57 ur, /s (1.6 m/sl[(

L

( : )

(,";k-/000

st

I0t)

.J3ti

Prolessionol Publioliont In(

Solulions lor lxdn l-llonim Sedior 79

95.3194-0

2

: 3.46,f mcos 30!

" ; ' lJ l ' |3 'ar ' reu,

100. Determire tlre spccific g:is co]Ntarl.T

-

R. slll't u;f6" NX\, ,, Ic

: 189.0 ,J, /kg K

Solvc 1o1 th densit),.

t : j11.38 r 105 Pa

/ J\I 1E4 0

-

I (6r- , . '+ 27.1 )\ Kg

^/:2.15 hg/n3

Soh, for specilic grai'ity as d furctior of lhe .leDsit) ofI

" " r r l 'o d or i , ' r . l 1. , J- . r . i

" -< lP

"

,, rr I5sG: +: : I { r7 0i l

I to i:9

101.

5.196 n'?welied pefineier (2)(3.164 m)

:0.75 n

96. p,,.i..I : p..d(24 crt/ " \

/ ( " ' 12. n .1, 2 . l\ ! "a, . /

: (0.6)(2.1cm): la.l cm (la crn)

r ' : PA: uthA: pe (j) (8 n + 10 x, ((5 nr(2 nr): f ,nnn r '9) l r . : r l l r ' . ru, , , r

\ L, ' . i '

:8E3000 N (8E0 kN)

(sch,,,d = (0.1)(0.8) + (0.61(r.0) : 0.e2

p

97,

:105.1 kPa

('* 9) (' "

T)t,0.; -r

ronnff(100 kPa)

200 tums

r20 v . - _-

] : ""

1" 0.J A/r 30A

(1:1001

: 2.3:l k}'a +

I,: :

is B.

98. Cohesil'e forces dominate in mer.un Thispresses t|e nlercurl le\l irr ihe tube.Answer is B.

lo2.

103.

,\i ":0.01

\_

v,, =

e)to.gzt [ooo 9)\ 111, J: a.73 nl (.170 cnt

(SC)injdiHrog.!2 700 Pa

104.(s.E1

Prolessionoi Poblkolion5, ln{.

105. Pp: r ;Rp

i r lq . l - r r ' . \' ,

v , \ t0n0Q - . .

, ' " : ol , : (15)(0.{15 A): t - t .75 x-

P, P,, 5\V,. rr r, (f. i ; \),

:8.89 O (r i .g O)

106. dischargd energv : energl srored ir capa.iliortr. t,t'

E: l P dt : MdtJI J '

^1 , r r ' ,/ l l . l - /Jr \ , t IL/

a'"

107. TLe inpeclar.e is

z : v1,10! + (i nf : 8.06 oThc inpcdan( msl( ircltagc lea.Ling cxrriintl is

/ ? \ / \, r - :arLrdn { i )= ulr :\ r r r /

I Y - l n'r

.8. uL, -!Z b Lxi l i t l " ! l

Si ce V Las a zcr.J plase argle. t|e.lndrt l.nds ih(l

108. z:18 +txy . -Wf: V( i 0) '+ ( i t o i o) ': 0.3 l l

/ xr -rr' \07:.r . ran

\ n _/

/+ l t +o\= arctan l r+ |\ ;o /: arctan | 0.6667): 33.69"

v:12: ( .4t 20" A)(0.3,/ 33.6e' ,:1.2r 53.69' V (1.21 5r] .7 ' !

Answer is B.

109. This is a DC source in series Fith a.r|rcitor, $rtL. sre:rdt-siate cunenl is zero.

110. f lds is a snlflo loltagL' .lilicler./ rLr \I { r 'u\) l . . . . .1 \\ . ! r++ !r /

Answer is B.

111. Ar iesorance, Lhe reacti\.e impdar.cs .:rn(t an.lthc cn it inpe.larrce is equal lo ih rsjstax(xr.

112. ALr : a,ll bv .LcfiDitior tor both pfocesses.For ar1 isoiLieruil t)rorcss. A7 : {1. so lli : 0.

113. . TL riO'( ' l 273

' L, 5ro I F2i3:1:1.186 (19%)

Answer is B.

11,1. A/I : rq,AT br . lef ini t ion.

115. Entmtl is tempr^hlr(i dctn ell. lt lleoreGi.ally a|proa..hos z(iro as tlrc iurperaLure approrclres

Answer is c. /

116. This situritior des.ribes a Lhrottljng pm.!ss. Entrop) increases, l,eupcraiure decreases, and nthalp! ir

117. Answer is A.

118. '1!!1, e,IaT, T./ r i \ / r , \p ' : r ' \ - / \ r , // \1\ /2/ i \: l f lh, l , l

Prof essionol Publkotions, lm.

Solutionr lor lron l-Morning Scdion El

119. Saturated steam should not be treated as an idealgas, bui th pressure will nevef,theless decrease as ih

120. ln an adiaLatic process. I : 0, bui enthalpy andiork could siill be a$ected by A(pv). An isentropicprocess is both re\rsible and adiabatic.

Prof essionol Publi(oliom, Inc

1. B2.B

.1. D5,A6D7C8.09.B10. A11. D12. B13. c-14. A15. r \16. Dr7. c18. B19. I l20. c

21.22.23.21.2i26.2i .,8.29.30.31.32.33.

35.36.J7.38.39.

DBDB

BBDBBBCBD

B

DDB

61. C62. ll63. Ati.l. B6i. D66. Bti7. c68. A69. C70. D77. C72. D73. ll

75. D7ti. B77.

^

7!r. c80D

81. B82. A83. ts81. c85. ,{86. B87. D88. D89. C90. c91. B92. ts93. B91. B95. D96. D97. B9E. C99. D100. c

lxm 2 -Antwet Key 93

r01. B102. C103. D104. Cl10;. c l106. B107. cr08. ( iIO9. Dr10. ts111. D112. C113. C1t 4. Blr5. Bl16. A117. I l118. B1111. D120 C

Exam 2-Answer Key

Morning Secfion

{1. Cl,12. B'13. D

.1t. B

47. t).i8. C

50. B51. D52. D5:1. B

55. C56. A

59. C60. B

Solutions for Exam 2-Morning Section)" ,1

L m: i l l = 24rat C.=s

= (24)(5):120

Aruwer is B.

2. ! -

6 - 2r is the eqution of th lin., < 6 - 2' de,scribes the shaded axea.

Answer is B.

3. Use the substitttion method.

1U72I

4,

t /cos'?P\ . "( .o?dr(s i r 'd

---- -^ | . - , ; ) \b i - , , l " rn ' :d\srn- d/

=cos2d+sin ' :9

Answer is D.

Solutionr lor [x! 2-for rg Sedion 95

7-r=i+za

/7 \(2) le + 2q,,J ltv

= -r;29

"217

^ l2S\x: ;+lzr l ;J

Use L'H6pital's rule again.

! , ra,-s, .^, tx : : :1

fi eo" u,t 20

t t -?. I xtx + r) tJ! = JG"+t)dx=;+;+c

Answer is C.

hnq,: L- :: .+4Um

("+a0 m)(tandj)) : i ' ta" ' rPr

8. l,eading zeros are not signiffcant, so the numbo has10 si8nificant digits.

9. AI- 1fi -*-.-t -

r+40m

d\,5iiea

dt=468"02:29.23'

( a0 m) (ta-'t d,- tand' tan rr

:a6an (a6m)Answer is B.

v..v,10. cosd= -

hri(3)(2) + (2)(3)+ (1)(2)

6. Use L'H6pital's rule.rr:lf+ef + A'l,qA +Of+ef

14

+(10"-J '+1)- - -

+ Oaf 6':)20x 5

'174\''17= 0.907485

d: cos 1(0.907485) :24.8" (25')Answer is A.

- , r ' / I \ ' " ' 'o . '' , , \ , ,4,+epl , '

. - " '

20" 6

Profetsionol Publiolions, In!.

96 FE/tlT Somple txrnirdtiont

11. Sir . rhF.ui \e i5 s) . rurr l i ' J

)

15. lrsnrs matri\ nndtipliciilior,

9E1+ i-8, - )B1 38' : l

Soh irlg snnrLllaneouslr,

82 :7 i2r/T\

, r | :b. J, l . " ) :n

\ iu. /

16. Dilide Lhrough bl. r

v'+3 ! :0

Snrplili

is D.

: '++3r 1:o

. /1 , , \ /1 \. t t t : ldr ' : I l i I L l l

' \ c , i \ ' , /

i t .hr : l ] 3"+Cis C.

18. Tlris is rLe lutor tid. s.alar prodn.t, whi.h is,

" , ,1 tu r . . a. . , t ; ' .

(.:) (2) .1"' rtr))'da - ," 1," tl

"' 1,," | + z,-,a +,-; aeo: l , + r s;na ;d+ js i , ,2dl ;a '? l j r+rsn'd+j" i " : r r ;

" ' ( f*u*uuun) :

-,1 :

36lf

: ' ' " "1ll0' d

'2:61.28'

0 :2cr: i2E.t i ' (129.)

.* , :2, t . lJ l r 1 l

{ r r : , r \ 1!r) t1. , . i . ru l: (1. ; 6,rr .9, r0)

14. Graph thc {un(iion on tle polar .oordir}ii

By dliniLlo .

A : + l,i" Lf lo)1, ,re

: ; : , : : "

*: (+ ,,,,r7.

Profesionol Puhlicolions, Inc

Solulionr lor Exom 2 -Morning Sedion 97

19.:1.351

: 0.03132 (0.0313)Answer is D.

20. The nurrbor of (unbinrtions of r it{rrs selectedfiorl a sei of n itcris is

- lC(n t) : . :L l t , , t , , , l\1t r ) . )

ai!( ' (6, r l : _: 15

10 l r r

?1. Fiml calcrdllle the probability of ro heads, ardtlien subiract lhaL fron 1 io get ihe probaliliLl-' .,I at

I dtrcc iosN", I .I r luf" r i , ' ls J

/1\n\ 2, /

:0.125

frh, r .b+s. r i l. | , rdF ro.-P. r \ dd ro .

t r'.1..r "tr n+ln l:1 {1.125:0.875 (0.E8)

2,1. The mean is

I r ' 17+ 1E + 24-33n4

Th{r saDple standard .l.viainD is

vr i(r7 23)'z + (18 23)':

r- (rl 2;J)'? -

(33 23)'z11

:7.3.1E (7.3)Answer is B.

25. The ucan oI the PoissoD .listribution, ^.

rs 4 ia-bls. Tle pr.,balrilitr ot' 7 iairl.s is giv.n by th. forn a

_. . ' \ ' . ! ( r l i

r l ; l: 0.0595 (0.060)

26. First cal{Ilat. rhe fbllowing \.^|rcs.

30.167

is D.

22. The Durnber of rirlg pernlutar.lons of n iteus isPln. t l

= (n, t l lP, , , .*(6,6) : (6 L) l

23. The two possibilitis ar mutxally x.lusi1.. -\dd

tlc probabilitv of drarving a cai caxd io th{r probabilitr.,f dr:i{.nrs a dog car.l to find th probrhilitr of drdsing

p{.at.dog} : p{crt} -

?{dog}52: lo-ro

:7/1o

L' , 2\ In |4 /6C Tr j r Inr

Th. slope is

( I ' , ) (Xs,)/ \ -

-

t ]1,

" ,

"

,"" (1e)(2e)

-"1;-g-

1.203 { 1.2)Answer is B.

27. CarboxllicCOOH.

Answer is B.

I r , :2+l+6-7:19!1, : ro+t+e+,t : : t t

",; = (2), + (4), + (6), + (7),: r05

acids contain ihe carboryl group

Prolessionol Publi(olion5, ln(.

98 FElElT Sonrple txorninolions

28. ,{lklurs:re h)'drocarboG }'ilh iLe toim C"Hr,, jr.

29. Alkeres are hvdfo(irrbons s.ith th firrm Cl,,TIri.

30. Eth{,rs arc of t|e lorm iRr o [x].

31. A1k1l Lalnlis ar alkanes rviiL ore hJdrogex rcpiaced b\ a h|lJosdr rtonr.Answer is B.

32. Answer is C.

/ d\

,,, ('2 ks) liroo GJ

nnr ." , 1

990.1 mo1nH.RT

l i . ! ior , or (b r ; lJr inoKrl

l - - r ; - l\ , i

/1xIPa\\ l l lo Pal

: 2. .17 XIP| i (2.5 NIPa)

/ " \l lu l -ul I 1000 : I

36. ,u: l t r f - ;

:312.5 tur ]or+2H2

-2H,O2 moles ot H2 (onbine lvith each tuo]e ol Or.

",

/ l ' .^ lO.\t14 r . r | , . r , ) I ^ . . I t4, . | , , , . r { l2\z r tr 'n tr , /

.195.1 nol of O, arc trinl.rd io bun all the TTr. Oflr312.5 mol of 02 arc aqilrble. so tnere will be eacessH,.

tuncs TT?O proLlu(d: (,trolcs O,)(mols rrro pel mole o,)

/ l ,u ' ,1H u\\ Inol Ur /

-

62; mol .,f H2O

nass H,o: (uolcs H,O)(nrorar n]ass), i2 ' H,)r" ." ' r f )

, . \ , " , ! /:11.26 ks ( i1 kts)

37. Tlxr.lcibel is a losaxiihmi. rneasure. so the cas-cadd tsains are added.

ganri..r-I : 10 dB F I .lB : 11 dIJ

33. 2H,,O2:21:hO

34. H2 r C12 -

2H('rDetcrmine lne moles of Bns in tL. dnn.

t , \1 ' . . r I r " | ' . r ,u . . , _\uuuz; i/ \

r ;s t .s I ' "

I ;1r . , nr . , ,\0.07 fr /

There are (2)(5000 nxn) : 10000 mol of I ICII

(10ooo mor) (s.31.1 ffi) tun""*rtr,)0.50 m'r

: 5;3712i10 Pa f55..1 l IP.)

35. llc pdtial pressure oI iL H, is ihe prcssure thcTT? trori(i bc

^i il it occupied the eriire 1 mr bo-\.

Prolessionol Publiotiont ln(.

Solulion5 for lxom 2-Morning Seclion 99

38. x. G 15 Forf>0.J I cH | ( : ) ( . f2):2r.43 i21)

39. The system is controllable if P -

0. whre P =[8, ABI lor ih system i : Ax + Bu.

ct) = (10)(2) - r6ct) :20 16c(r)Ttrle ihe Laplace ira$form ol hoth si.les.

SC(s) = 20 16C(s)20(_ ts l : t6 r ,

l^ r ' f r . ) er , "h,J \ouF.hpo'Fa.

' , ' r , , I r \ , . l i , ' f -

u ) l "- \ t r . , / t ,

:0

Answer is B.

43. fhe Licnonilator is zerc tor irpul fi -"quetrcics wlrere

the sJslern is unsiable.

(s '6 i+l) . :0

,4=36 36:0

(A) P:

(B) P:

(cr) P =

(D) P: 012116

19218

l0 t)20

:18,18:0

13 13 :10 .ro:r,

40. Tahing the T,aplac trauforn of tfe

s. , ' {s) :10f i (s) 16C(r)^

( ' ( . ) 1 i l" " :aL. t

: .+ro

difii)r{rntial

41. c(,) : (1+#6)(1)

tr!

ftom P.ob. 10.GG) :

Djviding throush hr s,

10

10G(s) : --rlT

l+:

Conpare E.t:. T and IL

GlLj :10, 'sGr (s)Arr :16/ '5

__ / t i , \ / I \H : l l l - - l=\ . , / \ Grt

100 Ft/ElT Sonple txomindtion!

52. Profcssionals hale ethifal r.spo$ibiliries ro i,hif.mpLoJe$. .orsumers. :!rd cr:rllpetLrors.

53. I1 is unei,tic:il to irdiscfndraiclv .rirl(lze oilicrrcsrslranis or iheir Fork. elen iI iruthfll. |nless thet)ubl i . 's safct l .o i l re l fu. {or l l . l be.out 'omisc. l ( j th-

5'1. Registrrtion li\.-( rr.e prssed bl- strr. legislatLrfes.Proiiission:il so.ieiies ar(L rle naiillal bo:rd ofregisria-r"rr , l , , . .F.r . r t , , , , t I . .lxxris 1.r registraliorl arc licpr .unent.

55. R: I .5t '( : 25,0f){t , 0.0:rP

l.5P : 25 000 F 0.01J]

-

25.00tJI :17

:17.007 (17.000)

6!

{6)r l i ) ( r , l ulin 1/{rl

- N

li ls r fole.

46. Ih. snl'et,! ard {.ll belrB of so(irrv orcs lrtorcFsporNibilities to a cln)rr or erplolcr.

47. Lr css nn aBl.elxxrt is made fegar.LiDg t)arerltsDd iDycxfnDs befbr.e rhc i1).t is perforued. iL. .liefl{ho pant fi)r the servi{1s should r.eceile rights to nllirnnliorls and par:enis.

48. llLc \(EllS saritn. ilde oI eihics specificalhirerei rlrat rcgisrralis na1. not perlb n Norh Lc\i,ndtheir lelcl ol.rye ise. Ihc orher trio e\a ples nav b.urerhifil rldcr some circunstaDces, bur aie for spc.if:iQlli iorl,iiL.l.r! bl i|e NCEES C.rle.

4S. [ac]r -

Solulions lor lxon 2 -fllorning Secion l0l

A. P(,4iP ; ' t nt: (st50.oooI I P.ai .1;): (Sr;0.000110 I i6Sl: $r7.520

5t;- . ;20cdpr|axzed cosr : 0J)8

: $219.f)00

58. L01ll is a nominal rrtc. rlol an .rffilrtir raie. be-cause t|e comporndnrs is done mor thmorc per l eaxT|e effe.ii\r an ul r.ite is

/ 0.1{ l \ r; : l l I L

\ 2, /:0.1025

-

sr000( l + 0 102;) '

: ($1000)(0.456s): $556.80 {$;57J

59. 1+t:(1+o) ' -d: (1 F i ) r ' I

: (1 or2l- 1:0.00919 [cfie.rift rdl. P.r noliL]

i j ;00-- I ' {1+o) l is500

l l + 1l . l l09, l9lr1

/ ' t , : lS5000J(l l . lr8l(5): s200t)

Uso lhe urilollll seiier snrkins fur(l equation {1rcrc irefuture $'orlh. F. is Sllll{1, th. nrterest rAt., t. is {l5yilrinil lle rrLLllrl,er of comromdnrg periods,

",

is 12.

A: r ' lAiF. i 'X, .n)- /

; \\ ( r f r )" 1/

: (s1000) ( (r r 0.0051r I0.00;

: $150.7 (,s.151J

60. Cdltulale i]re simtl(' irter'si, b! nn liPlling th.t)rcsctrL Nort|. P. b1 tli. irteresl rar. |cr perio{]. i. b\'the xumber ol com|omdnig peiocls, r'.

: s81.07 ($E1)

62. Use the.ash f low f , r tor ' l - , { t 'P. t%,r) . i r l tete theinterest f^nr,7 is 7% &d i[e nuf]ber of rcriods.

".

is'

A: PlAiP. i%,n)

- / ?(r Fi)- \

\ ( r , l ' ' 1/.^- . - i nuir I t r ; l ru\

\ { r r , !u r /: s1281.10 (Sr300)

63. Tli. iucgulal cash flo{' .D be dnnhl ir|lr t!\'o- ,

1 | - , ,1 rpl , 'F F1 , '

fi)Nr aulLnl pll)meft cndr flow. An eqrtnaterl srnglupNxrert at tlre erd of ihe rlird veaf can blr cdlculatd..nd tlrcn irieresL lbr the l.st tso Jears.r,n be Lfeai.das n sirgle palrnenr cash flo\'.

\\iolk ba.kwarcl froln ihe tnowr fiul sL1n. fibt con-snl(! o y tle scond cas| fioil, the jnter.si. Ciiltulatea sirgle pay erll il ihe en.l ol iltree )ears that will gilca fuiur e value oI $60,00ti ai tho cld oIfi\,e,\,cars. Use tncrsl no\, Ia.t.,r fPl/.F. jrlo, n). whcre the int.,r{,st rate. i.is S% dld tlre rrmber of pernxk. tr. is 2. Tlxr \alLLe ol(Pi I ,st l

.2) is 1oufd jn a tablc of s lan. l . rd casl , f lowpr

,, : I (1,1,,F.rj111.2): ($60.000J(0.E5731: 55l , '138

Tlis iillourt. $51..13E. lhen bc.oxres the fiiturc, \,aluefor ile lluee LDrilbnn an ul palments. h of.1er tohave $;1..13E al t|e en.l .rfthrce I'ears. tli. ar]oulrl lh.tInrli be r.id into th. 1\ud ai i|e end of cach Iear is

i : F (r1,/rr ' .8%,31: (s51.-138)(t l 3o8o): s15 t42.90 ($16.0001

61. FiNt {rrl{r rt iLe eJtecrilc i erest rile per pe

0.06

-

0.00572(0.;%l

Prof essionol Publkotions, lnc.

t02

64.

tt/Ill Sonple Exorninotions

rj : iension i lefi cordI2 : tensior nr rislrt cord

2", : 1000 \

f r :o 1p"u"y l r l2Tt : Tt

IF:( ] 'punel .2rT2

'2500 N

: 250 I'IAnswer is B.

65. / q ' r^r d l , , . . . \ / l l

For sli.ling corlditio$.

I r . : l ' " . , r" r . ; -oPs\\.t" : It = ltn

for tipping..Jrditions

+f v , : a. , r ' l i ) :unl l

\\ hcn tipping arr(L sli.lirg conditloN are equal.P'rp : 1'"1r"

l l . .

i :p"r :45

66. r , r5oo\ / t )\ r / r ' '^ " 7

= Jl t i .E N

. ,nn. / . , - )\Jt"r - t )

,= 135.8 N

r 5,r ' , \ r f " - )\ ' I

' ' l:362.1 \

Answer is B.

67. t ro. ' ,

I n , , r , .pt" .

68. Drsretsdrding ai f t f i r t iuL

' i . i " r , 0z;o T)'r"r",go"t2g:19.9 kn

) (s sr(20 kn,

6S. R: " i ' i '29 :(1250 :) s in(14(i ]0.))

n' , I: 137938 m (140 knt

70. \ /2a1 , , . , lo.o ) 8 " t

= 30.7 nl/s {31 m,/s)

7a. 0.9 = *

v' : 0.9i,

-

ml\')z. r : 2_

1oo r.g1 (10.s1 (:0.;a))(23 kJ)

72.

229t)0 J

Professionol Puhliotiont In..

! t r " : n200 \ .m 1100 1"*) ( : ) (2.5 m)

(2.5 m)(300 N)+ n1;00 N):0-R:2.2n

Answer is D.

73. (2.5 m)1300 N) -

(2.5 m)(100 N) ( ;)+ (1.0 drr = 0

F3:900N

T) (rooo u:l)

,F-\l : r,A!

It! Solu on5lor txom 2 -Morrirg Se 103dion

78. F"g, 'op - ' ,

u^ ' u r l 'P LP-Ilectirn quations rutiain / iD tlc defornin.rtor' Ba;ea|d |eigli dimdisi(Ds do noi appeir anl'lvhcre else

hh3_: l

.1to 5 Ia zt (0.25 (nl*!1o 2 ' n, ; (0 ; c 'n) '

:0.062;

' lhe distarco,.1. |ctween th. car,r l rd bus

,i : \,{io -r5rP + (%rP

: v!6r(]t' l1oo, ' llloAnswer is D.

79. did.l : ,{"r-,r,-. + d*-r/ | 'L\ / FL\: l,'"/, ,,, ,,,,,, * l-J.,".,

( .10 000 Nl(1c]nl

76.

' ' ' , : 2:

: 3.8:r x

-

.IGtt,T,

/0.250 crn\a"\ , ]

2

'."' : vGtt t pr,), + ()', ret,P:60.1 kph (60 kph)

is D.

-

a37.5 N/cnr (,1a0 N/ol)

(3.83 x r( ] 1dr l l ( r t .5: 1oo

36{1"

/n i 7 ln ' : ) f r . r ' , " I )\ I , / \ ,n j ; /

(10000 N)(a cnl

: 0.025ti cn (0.026 crn)

80. t :dajal+d}sLdnrg' / i \

F ,11i r . ' " \2. /. \ t hh +bh'

1500 N(l .5 cml(0.75 (n,)

(15ooNXr."') (sIP)

N20x100-

, "m- : , l r

' 'N1x 10o ,-

transformcd si,eel rvnlth: istixrl Fidth)n: (2 ci4(20)

)t

' t t , t , ' ( l

tQ ' ' " ' \ rlb- pt1.

\1r l "/3\ / r ' \ 3\ '\21 \bt | ) 2.q

0)(7ooo \) _

(2)(1 o,)(6 cm)

(j)r"."rru "."r' '

33 N,/crn'z (33.3 kN/cn'?)

j,)6 .rI

:102.6 N cm (100 N.nt

41.

Prolesionol Publkoions, lnc.

0.535 cm i lll h I- ' i_r" , ' ' ' '

104 Ft/tlT Sonrple Exunrinoionr

(2 cm)(2 cl t (1.125 crn)' l ' (0.125 crt(a0 cin)(0.0625 cm)

(0.5r cm)

Ad = ea-t i . r i , " i izdr: ({1.015)(0.3)(0.2t crn):0.001125 cm (11 sd

88. A slaldard terslle icst .an .liem ne rhe lnstic1l1o.tr us. yield strnglh. ultinrt. insjle strellgtl, andductilili)' oI a nxrtal.

89. T} resion {trere straii hardexnlg omrrs is treiieen poillts B ard C. O to A is kno$u as tho tiDearregion

-A io ts is tle phstnrr.gior. and C i., D is i,hre

90. Gibb's phase rul{) is generally eipr.ss.rd as P+F :a-'+ 2. IJ is the numlxrr or phases existirs simultan+oush-. F is t|xr nuuber (,f indcpendenL variabt( s (knownas d.srees olSeedod, ard C is ih nlullbcf of{tementsh th. allo).. Composltior, t.mperatue. ancl prissureare cxal11ples of .lgres of fiedom rl1at cril bc !rri.d.

91. Frr:rm Hooke's Llv.

: tl.5:15 cAnswer is B.

82.

83. ,: deflecin'r, d,al l : , : s) t )Pr

t , r t . , l t ( t )' ,=! :F-mtmflr

Answer is B.

84. Usc Euler's L,ru r. $,her 1l : 2 for olc ueo

r '1(200 x ro'g Pa)(1.0 x 10 r m1)((2)(3.5 D)),

= 4 028.109 N

-

i . . .1028109 N.. l lor thle : ;-

-

1342803 N (13. iJ kN)

85. Answer is A.

86. Th. .oolilg rate afie.ts ihe hardress Lur not ihehardembilit\'.

87. Answer is D.

= 5.14: 10 3 n (5.1 m)

92. Thc Poissox ratio must be iL thc rang.i 0 < / &',undedamped if d, > a

Answer is D.

Prohrsionol Publilotiont In('

(dissipated across load)

Solulionr for Excm 2-lvlorning Sedon 107

116. Q : m(/n"r Ar,,rir"r)IIom the satuDted $.ater table and

Q:(rkA)13704.-4r9\KA

: 3285 kJ (3.3 N{J)

118.

Q : V,cplT."\, T.*,^_ta

v p.,

,*q) 26.100 x 10b J

117. Vaporjzation :nd condeNatiiD :re isobaric pro

Answer is D.

(2,0 m3) (1ooo *) ('"'#)= 1E.C

Answer is B.

119. An er.tcnsive prcperty dpends on the anount ofnass present. Intemal e er$' has tlis traii.Ansv/er is D.

120. Answer is C.

hofesrionolPoblko o s,Inr.