Mechanical Engineering

1. 10itE761
S.vcnth Semestcr B.E. Dcgrcc
Experimentat
j
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otet Arsqo Flt/Efuttqa.stiohs, relecti g
a1t s1 IWO qrcstio,r lrcta ?ath rarl
!4Bf=,1
a Detue gauge Iacro.. Derivcatr cprcsion lor n (r0ri!rk,
b Explanr lenpe.arum conuensollon oliroin sauges Aho eplain rhe trt* ofconrpeDsaling
gare. ooNhik,
Dedne x skin msere Venrion de dif.renr ryies of strain rosene confi,lorarions ixh near
skerchs (06Ntrrk,
A deh! roscne rields rhe lollovins{iain indicahons €J=,8rr5 pdD. €r= l22O udm and
E. = 710 !nh. Cal.uutethe maxnnum prin.ipal nEin diredion. Lhe pincipal rr.ses md
rhe mannuin she{sie$cs.Iale E=200GPa,y= 0.?8j. (lhrkn
i Deh.enrcssoDtic lov Anddcneirinnlodimensionalphoroetaii.itv tioNrerk,
b Explri,r the c0libftlon nrerhod (l) usiDs rension melhod, (ii) usnrg ite cnculir dn.
spec Drn trorrr*n
a ExplaiD the sheardiffer.fce rnedrod lor$e scFanron olpincipFl nE$es oo r$k,
b har tuc rhd propenies of ai idexl phoroel,*r marenrl? Dncus a lc$ itupoiriir
pholo.la$ic nralerlah. 00)h,nn
P.IRT - B
x. Explain slEs lreczing lechnique iDlD pholocl6licirl.
b Dc$nbe $e serup oIx s.aterd lilhr polarGcope.
a wh art the applicalions olhona Dlellrodolnrain.ixlrsra
b ExpLainnr,,.,natr-snbyrhcdi:plxcenhtrpprcach
. Dxpliin the g.onredc apprcachofmoni hnge $ranr anrysn.
h,r n btreriineence) i'lcntlon the asu.lphors Du,le. [$lain hos sGscs bd nrains can
be measuied trsing bnefiigerlcoaling (rorhikt
Lrplairuirhxn.dslethdreprincipleandopefrrionol!Eflecrionpolaiscope. (r0rhrrt
Ihxr n b rlc colrins rechnique? Eplainbad relarrlionrchniqueofcortins. Atsonenrion
ns uscs. (ro[rrNt
Erllain orck-dec.tion rcchniques nr biltle coatine method 110hat

2. l0Mf74
Seventh Semester D.E. Degree E)iamination, Dec.2074 an.2015
OpeIations Research
Note. An$et FIt E fal queslions, tpte.lihq
at l.ast TtvO qaations front each pan.
z
.2
aa
1l
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i.=
a:
a=
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a,
a
x. Dcu.c .perari.ns resea(h Erplainrhc phascs ofopcrdionsrcsearch.
b. A tum manutir.rures trro prodncts A and B or rnhich thc prctu ea ed
'.1respectively. Each product is pocessedon $o tuachinesMr and Ml
one mnrute ofprccessing time on M a.d to mnruEs o. Nlr vhile B
on M, and oDc minntc on Mr Mo.hine M is rlailablc lor not more
while ma.hine Mr is alailable lbr l0 h( durine any woiking day. Find
olproduct A rnd B to be manufacrured b let tudx,mumprclit.
rolbwnre LPP usins snnpbx nrethod:
z= lr +2.
giver problcnr byusineBis M method:
con*mints lx +rr =l
4xL +lx. > 6
x +2x, <.1 md
r. xi:0
fi.d rh. optnnum quantiry ro be .upplie! nom ea.h nrop to
ABC lnned h,s rlme prodnction shops supplynrB a product ro 5 varchorscs. The rosr .f
produqion laries n m shop t. shop,.ost ol tansponarion liom shop ro shop. oo$ ol
transtionarion lion shop to raiehouses also !ari.s. Each shop has a specitc produdbn
capa.n!.reach *archouse has ccrtain amount of rcqunenrent. Thc cost oltBnsportatdi
tv
1
I r25 t6
c 6 l t

3. l0t'I874
io perrirrn Dcremine rhe
C
5 9
a 9
5 l 6
s 5 .l
T 5 6
d ExplaindE inponarce olnneger pmlnnnnine.
b. Solve the follorvins linear proCianrmine b! Comoryrcchnlque:
Maxmize Z=x,+rl
Subied ro 2x, +a. < 6
xj. xr >0and lntce.rs.
A AIJC company has s tasks and 5 pcrsons
nd mininlzes rhe total.os
5
(06 iv*li,
rime esimatcs arc silcn bclor alorractivities lbr whicn the tluee
t2
8 ll
9
c H
F 5
8 12
i) Dllw PERT network
ii) Find EST. LST and slack ibreach node.
iii) riid $nical pa$ and cxpcctcd lrojcd duoioi.
a. Brieuyexplain queuina systen and its characteistics
b. AJrilalmteoltelephonecall ar a relefhone hoorharc according
an avcrage rime ol9 ninures betreen nro conse.Ltive amvals.
i. r.{ r,e.l,o be epo'enr.llj Jnu b. reJ.
" ir'. neir ) mn ..c.
i) Dctcmine the probabilitythai a pcr$tr advins at dre booih
ii Finn the averase queue lensth
(rrNIrln
(06IIirkt
tu Ponson di$ribution. ftrh
The lco8drolreleplore.rll
iii) Th. relephone compahy will install a scoond boodr ,hen convinced lhat dn atriral
lould cxpcct b harc to vrn at.leasr tuur rnirutcs br the phone. Find lhe iDcrcasc in
flow rate of anilals Nhioh nill justily a scond boodr.
iv) whar is ihc probabilily that he will have to Nait tbr morD thrn l0.linurcs berbre lhe
phone n free? 0aMxrk,

4. , Dcfine: (i) Toklolapsed dne. (ii) Idle !ihe.
b. List the assumplion mle *hile dealins wilh sequencins
c. wc have 6ve jobs cach of vnich busi go through lhe
ABC. Detemine a sequcncc for job rhat will minimize
5
5
I 5 l
7
Explain clearly the follovins terms:
Usc doninance rulc lo fmd the optinun stdtegies for both the playd.
B, B. B. B. B, B"
II
22
l2
22-t
43 |
43 7
414
2
3
5
l0ME74
35
l6

5. r0ME73
S.cnth Semestcr B.E. Degree Elrminrtion,
Hydraulics and Pneumalics
ott'. Ansvd FIVE f ll qr.ttions, teltti g
at least TWO qrcstio,s Jtoh za.h N .
':
i1
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a1
1a
Stare Pa{al s law Erpliin wirhnear skerch. rhe b4lc hrdraulic polrcr sy$em (0i Irrn,
Eplain t}c connrudion mtl orkrne olBalanccd Vane Pump. (03!kr[,
A vme Ims a roroi.l dianlcrer s0 nft. a cam nng oldlafretei 80 nm and the vaDe olwi'lrh
40 Dm Coftplre thelolumeinc dnpbceddnl iflheecccndcityis l0mn. (06]hrk,
a lvnh skcrch bnefly explain linearhydr,uLic lcluaroE (06)r!rkn
b Exphin *nh near sketh the opciirloi olsash Plars Psronmolor in hydmulic syslem.
A )J.. li.i'or, !,aoL r'.r!n',pr..rn oi I ,cr opqr.'9. rp-...r(oI
60 barand speed 1800 Dm.llrhe actualflotr mr. consutucd by rhe mororis 0.004 nr/sc
rd dre rtual rorque delivedd b} rhe ftolor is 100 Nm Find: i) volumetric efficiencr.
ii) Mc.hmrd eficiency, iii) Ovenll efriciency. (0rlra{n
a Eplaln yith a Deai sketch thc $o*i.e ollbur rr, ruo ponDn dnecronal.onrol ralve
rithsynbolic represdnturio. (06rr,
lxplain wnh aneat sketch ronsirution ddopemlion olsinrplc!rcsurc relielrLle
(07rr4,
laplainbrie0yrvnhnearsketcho*insofpresure.onpens edflos.ontol yalrc.
(0? h t
!. Exnlainwtrhanealcncuirdir8mmihes. inaoiairgelenrivecircuir. (mrb!k,
b. Exphin unh a rcatcncurr $orkngola sequencing cncuit nr edillirg narhine (0!}Ir*n
c. !har ae hydnulic accumulabu? Clasilithe ac.umularoN used in hydralli. sr-nen
(elhik,
PART B
a. Explatuanyfiledcsimblepropeniesolahydratrlic flu1d (t0lhrks)
b. wiai ftc the rundrns orresen.rsy(em,Eaplain briely unh ne skcrh con$rucrior ol
ftse^onslslen. 0orirkn
Explain rhe chrncteintrs olcompre$cd air. (06rlerl,
DcfincpneuDrticsyecn.Gi!.rhedirerencebenreenhydmulic.ndpneumalicsy$en.
(06 lrrrk1)
Explair end p.sni.. cushio.ing in pneunali. cylinderwith diagmm (03Msrk,
Explxin rrnh r ned s[crch conlnl olerlensiorolx doublc a.ring.ylinds usir! logi. lrlcs.
(r0Mrat
Explaln trilh a ncar slcrch co.stuction dd operlion ofa D?ical quick exhau$ ralve to
incrcasc 6e actuation speed ola cylindcr in a pnemaric sy(em (r0vr*,
i lpLai,rwiih a.car dDuratucoordinarcdiquhcemotionof n'ocylindes
b wilc a shonnole on andrversd airntter

6. t'.?,
,:"i l0ME72
Seventh Semester B.E. Degree Examination, Dec.2Dl4fian-2015
Mechanical Vibrations
Not.t ANtua aht' FIVE ItU qu.nions, elecriaA
atlust rWO qrcstionslron, pa.h pa/|.
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PART A
Explain Dhenomcm beah.
Derive an equaton tur rork done byharmonic aor.c.
Rcpreseni Ihe pc.iodrc morion pilen in the Fie.Q.l(c)
Detemine dre nltuml frcqucnct
Dctcmrine the nanml liequenct
r tth
olthe slstea sh.wn i. rhe Frs.Q.2la)b,v cwton merlod
(r0iu,rk,
Frs Q 2G)
orrhe sr$emshoM in the fis.Q.2(b) by
sei up the diffe.etrtinl cquition for a spins mass danpcr sysrcm and obiai. complcrc
sofutnr.lorrhe criticall.v damped condirio. ooNrrrk,
Detemrinc i) Criticxl &mFine cocticicnii ii) Daftprg iircror: iii) Naud nelluency ol
dampcd vibratlo.s; ir) Loea.rhfr,c de.renenti v) Rtuo oltwo coNccutn! amplitudcs of
lib tiirs system $hich consists olnas of25kg. a spri.e oastiihess l5kN/m and a damper
Tne damping providcd nonly li9;.ltho crirical value, 00rllrln
1.f2
Fis Q 2(h)

7. 5
I0,I[72
a Define lmnsmissibilily a.d derilc nn crpEs on lbr the hansmnsibility ratio and the phasr
aryle lor transmifted fore (torrrrln
b. A machine ormass one ton n acred upon b], aD exrcmal ibrce 2,150 ar I licqrenc! or
ls00Am. To reduce rhe eilecrs ofrlbratiotr. isolaror oatubbcr havi.g a $aric deflection oI
2mm under the nachine load xr)d an estimatcd damping factor 010.2 .re nsed Derermine
i) Force transmnted o lh€ ibuDdaiior ii)Afrpliiudc olribmrion olnre macni.ci iii) Phas.
dJ l e rir.mi. 'd fo'.e 'l
'e.pc. o.c c!ca' l rn,."
PART B
a. Explain Frahm'srccdtachomctci (05!, t
b. ExplaD Yibromeler. (oslrrrk)
c. The roior ofa turbo{upcr chargd wc'ghing s33N i kcyed ro the centre ola lsnm
dian ctcr sh ait 40cn b eNeen rhe beaiings Detemine: l)diconicalspeed orshan: ri) The
amplitude of vibrahd. or rhe rob d , pced or 1200 rym ofthc cc.entricny is 0.0t5mm
and iii) vibrarory for.c iiansnnied ro rhe bearings at thh speed Asune rhc shaE ro be
situplysuppofiedandtheshaftmarcrialhasadensnvor8gdc# TakeE=2.06" tl]JNlPa.
00rrrrn
a. Eplain the rvorkinA |rinciplc oldyramic absotuer Os !,rrn
b. Deteminc rhe natuial Eequencies ol the spring ms pulley sysrem as shown i. tbe
Fie.Q.6(b). Tne cord n inerensible rnd thcle is no slippagc beNleen rhe cord and rhe
pulley. Take Kr = 40N/m, E:60Nh,n=lkr and M= 10kg. (tlnrrko
Determiic rhe moral ftequency ofthe sy$ern sho{r in the Fis.Q.? b}'Holzcas nerhod.
(10 rlt3rk9
ix
eK+
t ,f
a Explain the expoincnral modal analysis ,nd iae necesdy
b Eplainfrachi.ec!ndirion m!ninrinrtechniqnes.
Fig.Q 6(b)

8. l0{E7l
Seveoth S€mester B.E. Degree Exrminatioo, D6c.2014/Jan.2015
Engineering Economics
Max. Marks:100
Noret t. A,sNu an! Ft yE
ful questio s, ele.tins
atleasr TwO qaanons fron ea.h ,an.
2. Use ofdhode intuenlactortable is pewi ed.
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1:
la
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PART-A
a Explxir LawofReturn. (06rl!rr.,
b. Deduce an cxprcsion lbr unilbmr seies capital Ecor€ry lactor. with the necesry cash
flovdiagmn.rnstlyderiveF:P(Hi)randrhenproceed (08hrl,
c Assuine that you sold a propefty today lor Rs.242100 rnd tbat rou had purchased rhe
FraFfry 4 yeas aso *irh Rs.2.00.000 wirhdE$. liom yolr saving accouni Durine rhe 4
tcarpeiod your sarnrgs would have earned 6%.ompou.ded quanerly. For a comparnon of
thc investmen*, calculare $e notuinal rrerest Bte Eceived lioin your propcnypnrchasc.
(06Isrk,
a. Eaplain Pay back conpdision niethod (o4vrrl,
b A nervlJ, developed eletric cr sill cost 21000 to l)urchase. Opmdrg ard minle.m.e
cosrs, including home cha.eing.rthe bateries, sre e$nmted to be Rs.3j0lor rhe inst year
*nh amual increasc thEreafrerolRs.5operyear. Salvag. !alu. after s yeas ise$imared to
bc Rs.6s00. A new sasoline ru.about will cost Rs.16000 lnd sill average 30 miles per
rrll.n. Casol e coss Rs 1.26 pcr Callon is expected ro incEase at a rate olRs.0.05 pcr ycar
each olthe next 4 ycas malntenance costs are esimarcd ro 6c Rs.l00 pcr tcar inclLdnrg
u atranry c olerage. sBlv!-qe value n esrinated ro be Rs.r500 aner 5 rer6 ofscrlice rfrhc
vehicles arc expectcd to be ddien lbr 20.000 ailes per ycar. detennnre whicb optron nill
hdre thc lower cost oler 5 !ca^. use pnscft r"onh analysis *nn
"
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c. A snall conpany furchased now lbr 23O(]l] xill lose lz()() oa.h yed th. fiisr a yBN A;
ldditional8000 inveslhe inthecompeydurinsthefounayearrnillre lrinaproin5s00
cach re,r iiom the 5'i year thotrsh Ihe 151h yenr A hc e.d ol15 yas. The conpa.y ca.
besold lorR!.31.000 MARR = I2%. (06NDrL,
! Explain thc sltuatiotu tur EAC a.d EAWcompariso.s. (01^hrk,
b A citymaintenance crcN has had expeience with a convcnrional back hoc rhal suegcstsihar
its ssice life is 6 yem. A ne$l, designed nachine costs 50% more rhaD the conaentional
nachinc but is quieler in oti$atio.j which will hake n more adoptabie to Esidentixl
neishborhoods Bdth machnres will have about the same operari.g costs, and sallagc.osts
are expecled tobeneEligible Whatwillberne serlice lire ofthe nes bickhoe have to be to
rLe i. co r -or
'pddble'o
ta,ol
'e
.on.. ror
". '..1.T
a,
c. A sltlteEd Norkshop requne! n lit truck lo handle palles ijr a nc$ conriaq A lif( lruck
c.n be purchased lor Rs.270000. Annual insurance costs are i% oflhe purchase pice.
parrablc o. tlr fiur olelch ]rar. An cquivalenr ruck can be retued Rs.15000 pe. mond
layable at rhe eDd ofcach nondr operahg cosB are same tbr botn alenatires. for rhar
.1in,mun nuDber oa months ust a puchased ruck be used on rte contracr to mk.
purchasing more attmctive dDn leasing'l lnlerest is I 2% cobpounded donrhly. Assude thar
$c pucnased lruck nas no salvage lalnc. (ffire ,
4 a. Listanddiscl$ thecauses fordepGhtion. (G nra,
b. Ar automobile compxny is Flannlne r. buya rob.t lor its tbrging Ln It has idenrified hvo
dilfercnt companics lor thc supplr ofrhc robol. Thc dcta,ls olcos{ lnd incrnrcrul r.,.n!e
.fushgrobots are sunnnafrcd rn the follo*ins hble :
l.f1

9. t0ME7l
5_00,000
AndDL nccmetril reenue (Rs.)
Liit(,r, 11
60.000
The MARR for ihe sonrpany is l2%. Sugge( the besl hdnd olrobot to
a. Difercntiute between dcbentures and shares.
b. The folloNing h the tial balance ofMr. Ratan a$ociates for rhc year
2014. prcrarc mdinA accounls proft.and loss account andbalance sheer:
c A local anspofi .oreany wanls to puchase a voivo heavr dutl truck for:]5 lakhs Thc
co.rpany a$ures thar rhe truck can run 15 lakh kilometes durins its 10 yeas ofoperation.
The salugc value ol life pftiod is Rs,E lakhs. lfthe truck has already a. lor this year of
oper.rror l0'aU (i or
'e
eh. F' d rl-e
'lepm,
Er or olrre' u. dri-np,'.0
PART - B
a Dlfteretuate bel ween esr imal ion a.d costins
b. The expendituE incured innanulacNrinc a machine is as ibllor:
(Rs.)
I 1500000
').
2
l .t00000 lt
100000 t).
5. 1r0000
6. Depreciation on sales
7.
8. 45000
Delemine: i) Dnecr cosrr i) ladort.osri iii) Tolal cost ofprodNtiom iv) cos oasales;
v) SeInrs price. (0er{,rk,
c. The cataloelc pncc ofa sashinC nachinc is Rs.9000 and the commhsion allowed to the
Fr.priet.rofthe shou.oom is 20%. The admin 6trat ive and lne selliDg expcnscs arc 60% oi
the faclory cost and material cosi. labou cost and laclory olerheads,E,n lhc ratio of2 ]]l.
Ifthe cost ofthe labour on the manufacture of mchine is Rs.1650. dere.nlhe the.rofii o.

10. l0ME7l
ClosinS $ock (as valued
of the firms A, E and C
Ene Lofmrms.mc, 5,00000
l].,10,000
Brieny elplain rhe lblloqing rarios:
l) Leveragemtior ii) Acrl!iry miloi iii) Pronrabilrv ratios
Brie fly exp la in Bench nDrknr8 o I mm lacntr ine opcration.
A rna.ulii.tuin! company has a Froduction cap,.ty of 20,000 u.ts of
eapenscs for tle productlo. o110.000 uits ibr a peiod n as follows:
Manulxdunis cxEos (40% fr xedl
seLLine and d nriburon.xpNroc! (50ri fi x.d)
Prepare a nelble budcet to shorv 70 and l0()% lcvcl olacrivny.1l n expeced $a! the
prcscnr unit selling p ce $ill remain co.*anr up t 60% beyond rvhnh 5% Eduction s
contehpiatedup to 1009i lcvcl olac.!it!. Alsogive your opinion an {hich lcrcl olactiyn,
shouldbe seleded. (rs!.rb