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USN 1OMAT41 Fourth Semester B.E. Degree Examination, June/July 2Ol5 Engineering Mathematics - lV Time: 3 hrs. Max. Marks:100 Note: Answer any FIVE full questions, selecting atleast TWO questions from eaChpart. PART. A . . a. Obtain y(0.2) using Picards method upto second iteration for the initial vdlue problem o () 9 O. GI q, (g io a) cl 6.) E9 ao- z GI 9 ?i r/f -*il coo .; J- ,= c.l cS$ b10 oq €g tr'tr oB 8z 2E cr q) 60 aoc BE (g -'t '(, d -bB '8s =c, 48. tro. o; ;o o= ,U qa_ Lr C) ?E >r (k boo cao C)= =63 5+ cr =6) UL' h o{ -.: a.i G) Ori z ti o t: x' -2y y(o) = 1. (06 Marks) differential equation Y(0.3) = 0.956. Also (07 Marks) (06 Marks) (07 Marks) function are (07 Marks) (06 Marks) (07 Marks) (07 Marks) b. c. Solve by Eulers modified method to obtain y(l.2) given y' - H yii-) = 2. (07 Marks) Using Adam Bash forth method obtain y at x = 0.8 given' (07 Marks) dv 1 .^. ".'.. A=x-y' , y(0)=0 , y(0.2)=0.02 , y(0.4)*$,0O795and y(0.6)=0.1762. 1r oxi. Solve by 4tn order Runge Kutta method sirnu#bus equations given by += y-t +- x+t with x = I - y at t = O, obtainy(O.t) and x(0.1). dt J dt ',-, (06 Marks) ,r Iriii*'i.:i,,,.",i] b. Solve #-^(t)'*r'=o ,),(bifi , y'(0)=0.Evaluate y(0.2)correcttofourdecimal places, using Runge Kutta grethod of fourth order. (07 Marks) c. Solve for x = 0.4 using Milnes predictor corrector formula for the y" +xy'+Y=0with"y(p)- 1, y(0.t)=0.995 , y(0.2) =0.9802and z(0) = g, z(0.1) = -010995, z(0.2) = -Q. 196, z(0.3) = -0.2863. Verify whether f(z) - srn2z is analytic, hence obtain the derivative. Determinetheana1yticfunctionf(z)whoseimaginarypartis* x-+y- 3a. b. c. Defme a harmonic function. Prove that real and imaginary parts of an analytic _.[a,pmonic. 4 t.U, a. b. c. a. b. c. Under the mapping w = a', tind the image of i) I < x < 2 Find the bilinear transformation which maps the points 1, plane. Also find the fixed points. State and prove Cauchy's integral formula. PART . B ii) %.y.;. (06Marks) i, - 1 from z plane to 2, i, -2 into w (07 Marks) Q.'.' (oTMarks) Prove Jn(x) = * U,-r(x) * Jn+r (x)l: Prove (n+1) P,(x) - (2n+1) x P"(x) - n P"-r(x). Explain the following in terms of Legendres polynomials. ^o+3x3-*'+5x-2 1nr1
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4th Semester Mechanical Engineering (June/July-2015) Question Papers

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Page 1: 4th Semester Mechanical Engineering  (June/July-2015) Question Papers

USN 1OMAT41

Fourth Semester B.E. Degree Examination, June/July 2Ol5Engineering Mathematics - lV

Time: 3 hrs. Max. Marks:100

Note: Answer any FIVE full questions, selecting atleast TWO questions from eaChpart.

PART. A . .

a. Obtain y(0.2) using Picards method upto second iteration for the initial vdlue problem

o()

9O.GI

q,(gioa)cl6.)

E9ao-z

GI 9?i r/f-*ilcoo

.; J-

,= c.lcS$b10oq€gtr'troB8z2Ecr q)

60

aoc

BE(g -'t'(, d

-bB'8s=c,48.tro.o;;oo=,Uqa_

Lr C)?E>r (kboocaoC)==635+ cr

=6)UL'ho{-.: a.i

G)

Oriz

tio

t: x' -2y y(o) = 1. (06 Marks)

differential equation

Y(0.3) = 0.956. Also(07 Marks)

(06 Marks)

(07 Marks)

function are(07 Marks)

(06 Marks)

(07 Marks)

(07 Marks)

b.

c.

Solve by Eulers modified method to obtain y(l.2) given y' - H yii-) = 2. (07 Marks)

Using Adam Bash forth method obtain y at x = 0.8 given' (07 Marks)dv 1 .^. ".'..

A=x-y' , y(0)=0 , y(0.2)=0.02 , y(0.4)*$,0O795and y(0.6)=0.1762.1roxi.

Solve by 4tn order Runge Kutta method sirnu#bus equations given by

+= y-t +- x+t with x = I - y at t = O, obtainy(O.t) and x(0.1).dt J dt ',-, (06 Marks)

,r Iriii*'i.:i,,,.",i]

b. Solve #-^(t)'*r'=o ,),(bifi , y'(0)=0.Evaluate y(0.2)correcttofourdecimal

places, using Runge Kutta grethod of fourth order. (07 Marks)c. Solve for x = 0.4 using Milnes predictor corrector formula for the

y" +xy'+Y=0with"y(p)- 1, y(0.t)=0.995 , y(0.2) =0.9802andz(0) = g, z(0.1) = -010995, z(0.2) = -Q. 196, z(0.3) = -0.2863.

Verify whether f(z) - srn2z is analytic, hence obtain the derivative.

Determinetheana1yticfunctionf(z)whoseimaginarypartis*x-+y-

3a.b.

c. Defme a harmonic function. Prove that real and imaginary parts of an analytic

_.[a,pmonic.

4

t.U,

a.

b.

c.

a.

b.

c.

Under the mapping w = a', tind the image of i) I < x < 2

Find the bilinear transformation which maps the points 1,plane. Also find the fixed points.State and prove Cauchy's integral formula.

PART . B

ii) %.y.;. (06Marks)

i, - 1 from z plane to 2, i, -2 into w(07 Marks)

Q.'.' (oTMarks)

Prove Jn(x) = * U,-r(x) * Jn+r (x)l:

Prove (n+1) P,(x) - (2n+1) x P"(x) - n P"-r(x).Explain the following in terms of Legendres polynomials.

^o+3x3-*'+5x-2 1nr1

Page 2: 4th Semester Mechanical Engineering  (June/July-2015) Question Papers

8a.b.

lOMAT41

a. A class has 10 boys and 6 girls. Three students are selected at random one after another.Find the probability that i) first and third are boys , second a girl ii) first and secondare of same sex and third is of opposite sex. (06 Marks)

b. If P(A) =0.4 , P(B/A)=0.9 ,P(B/A)=0.6. FindP(A/B), p(A/B). (07Msrihc. In a bolt factory machines A, B and C manufacture20o/o,357o and 457o of the totaffiilltiir

outputs 57o,47o and 2Vo are defective. A bolt is drawn at random found to be-..dHiedtive.What is the probability that it is from machine B? ,,f-*,i'

'(ffi Marks)

a. A random variable x has the foll distrib

Find k, mean and S.D of the distribution. (06 Marks)b. The probability that a bomb dropped hits the target is 0.2. Find the probability thar out of 6

bombs dropped i) exactly 2 will hit the target ii) atleaSt 3 will hit the target.

c. Find the mean and variance of the exponential distribution.(07 Marks)(07 Marks)

rhe mean of ,l;IilIiic. A set of 5 similar coins tossed 320 tirws gives followine table.

No. of head*.-l* e0r I 2 3 4 5Freq. **r",,.,'"-'fu 6 27 72 112 7l 32

Test the hypothesis that data to'trloWs binomial distribution (Given y = 5, X?r us = 1 1 .07)(07 Marks)

:

{<**{<*

A die is tossed 960 times and 5 appear 184 times. Is the die biased?Nine items have values 45, 47, 50,, 52, 48 4'1, 49, 53, 51. Doessignificantly from assumed of mean of 47.5':{,,Y = 8 , t0.0s = 2.31).

.L,

ollow S u lonx: -2 -t 0 I 2 3 4P(x) : 0.1 0.1 k 0.1 2k k k

2of2

Page 3: 4th Semester Mechanical Engineering  (June/July-2015) Question Papers

the perpendicular drawn from A to BC.

c. Find the equation of the plane in the lntercept form * *I +1=1,abc

a.

b.

A

+tuxbl:'ftx(arb).dt' J

a. .Findthedirectionalderivativeof $ -x2yz*4x22 at(1 ,-2,-1)along 2i-i-2k. (06Marks)

b. If F:(x+y+ 1)i+j-(,,+y)k.Find F.curlF.x.lll*;:JJ;?il,:;l*+y)lc.},mdF.curt[..,ffi..'ffHil]

)f $e,m IYLE

dt

b.Findi)L[e3tsin5tsin3t]ii)L[t5cosh3t]iii)L[t3e-3.].Ml1tsmarxs;

[r_^, I -\in:=r'a. Findl-l ^ " I (osMarks)s' ^"'*"L t l

USN MATDIP4Ol

Fourth Semester B.E. Degree Examination, June/July 2015Advanced Mathematics - ll

Time: 3 hrs. Max. Marks:100

Note: Answer any FIVE full questions.

b. If A(0 9 6),8(1 2 3), C(7 -25) are vertices of atriangle. Findthe coordinates ofthe footof

()aq)(tt<

(0

a

C)

C)!:/,n,(.)x9p=

&tcd rJ3 ,,'oo"Eoo.= o.l6$69poed.()

o>8eAarr=oa)

50E(Ecg!h2c!

-bBOr=A-:()a:

oj,;al< ',-r9:;'()0tE

|.o)=rtar .=>'tibovtrooo=o. ii=()o-

U<+ C.I

C)

z

,o',€

(07 Marks)

(07 Marks)

2a.

b.

Find the equation of the plane passing through the three pornti (2,3,4) , (-3, 5, ,),ffi,*r";i]i

Find the equation of the plane through the points (1, i;.1) and perpendicular to the planesx + y -22: 5 and 3x- y + 4z: 12. (07 Marks)

c. Find the equation of the plane through the points (-1, 2,0) and containing the plane2x+ 3y+ 5z-l:0 and3x+ y-z*2:0. (07Marks)

a. Findtheunitvectorparalleltothesumgfthevector A:2i+4j-5kand B:i+2j+3k.(06 Marks)

b. Determine l. such that A : i + i +'ti:"fi : 2i - 4k. e - i + ),j + 3k are coplanar.(07 Marks)

(07 Marks)

(06 Marks)

+ (2t - 5)k at t: I(07 Marks)

(07 Marks)

c. Provethat(d"6;' d:(6'e ) 6 -f U.e )a.

Prove ttut 1 IF.GI: F. dG *oF. G.dt dt dtFind the velocity and acceleration for the curve i : 11-t3) i + (1+t2Iand also find their magnitude.

,^dd , dbc. If :=frxa and:=wxb thenshowthatdt

c. snow tnat v.(V x A ): U. ffi.

(07 Marks)

a. FindL f(t) giventhat(t): lt : 0<t <4

1,, t>4 (f,(",:$llll)r:,'rllarks)usl

b. Find i) L-, I liJt -,

-l ii) , ,[,1',*'i-l iii) L-,t=-l (r5 Marks)'''"

Ltr-l)'(s+D) "' u

[tos'-25) LLL'D

Lr'-6s+91

1 of )

Page 4: 4th Semester Mechanical Engineering  (June/July-2015) Question Papers

MATDIP4Ol

8 a. Using Laplace transform solve :

g- * 4++ 3y - e' ; y(0) : 0 y'(0) : 1. (10 Marks)

dt, 'dt -J J\-'' - J \-/

b. Solve using Laplace transformation method ,," ' .,

y" + 2y' - 3y : sin t, y(0) : y'(0) : 0. (il Marks)

,r rr rr ,( r(

2 of 2

Page 5: 4th Semester Mechanical Engineering  (June/July-2015) Question Papers

USN 10ME42Nt0LU42L

(hq)b0qn

A.A1

cg

.ob0

a6

Ic)

oa)C)

(Av)o()(€

oao

B

>,l-roq

O.

oov,!C)

Bv)

c6

oa0

c)

oC)

o-'0)

ozcgt<

O.

X'ourth Semester B.E. Degree Examination, June/July 2015Material Science and Metallurgy

$ Time: 3 hrs. Max. Marks:100

$. Note: 1. Azsw er any FIVE full questions, sel.ecting &i, atleast TWO questions from each part. (d:,H

E 2. Use of Handbook / Charts / Tobl.es etc ate not requir$dE p,lnr-l

^tb3 I a. What do you mean by co-ordination number? With a neat figure, u(irp do-ordinations! number for HCP structures. ^\'J (04 Marks)

I b. What is Crystal Imperfections? With a neat sketches, explain lilelefects and surfacedefects. *-)V (12 Marks)

q c. Explain briefly, Factors affecting diftusion. qp (04 Marks)

! Z a. Differentiate between i) Engg. Stress of True stress rft/ pngg. Strain and True strain.g Derive the relation between Engg. Strain and True Sgqin.r (08 Marks)i b. Explain with neat sketches. plastic deformation by iftilip and ii) Twinning. (08 Marks)I c. Draw the stress - strain curve for a ductile matgial frd explain the important points on theE curve. ,_*3

t (04 Marks)

€ S u. I/hq do you mean by Type - I, Type - D5o Type - [t fractures? Explain with neat

! sketches. {.-- . (06 Marks)E b. What is Creep? Explain creep curvgrlidl neat sketch. (0E Marks)

{ c. Explain with neat sketches, fyp{frffiigue stress cycles (Fatigue Loading). (06 Marks)> \{,/E I a. Explain with neat sketch, tlq&(anism of solidification. (0s Marks)

+ ' Hff":^T::oceneousCyPdon? with a neat sketch, derive the relation

"'t&;i*X'f,,

€ c. Explain Hume -"[$,&'nrt", ror rormliol orsolid soluri;;i-- (051\{arks)

E ,\*-/ PART - B€ 5 a. Explain brie&tre construction of phase diagram using cooling curve, with a neat sketch.ti ;{(f (05 Marks)g b. Namethibifferent types of phase diagrams. Explain with a neat sketch solid solution phase

E diag$r(Complete solubility). (10 Marks)'s c. Di${rc Iron - Carbon Equilibrium diagram and label all the phases. (05 Marks)

< 6 g-()Yhat do you mean by T - T - T curves? Explain with neat sketches, the construction of' . W TTT curves for plain carbon steel. (t0 Marks)

_^\\b Explain with neat skerch, Pack carburizing. (0s Marks)

. 1.$' c. Explain with neat sketch, Flame Hardening. (0s Marks)\\VJ(*' Z a. Explain the Composition, Properties and Applications of i) Gray cast iron ii) Malleable

cast iron.b. Explain the Composition, Properties and Application of

i) Aluminum - Copper Alloys ii) Aluminum - Zinc Alloys.

(10 Marks)

(10 Marks)

8 a. Define the Composite material. Explain the different types of Matrix Materials and Types ofReinforcements.

b. Explain with a neat sketch, the 'Pultrusion' process for producing FRP'b. Explain with a neat sketch, the 'Pultrusion' process for producing FRP'#iryiWc. Give the Advantages and Applicarions of composires.

,|${ -r.rr"q]il :

)

)

)

rksrks

Page 6: 4th Semester Mechanical Engineering  (June/July-2015) Question Papers

USN lOME42B,IIOAU42B-

)mm.Marks)

d

€ Time: 3L

E Note:rh

EC)(rlc)

A6\s5 I a.19J

3'E b.EA.SX tv.I ,,'bo".E?;; -T-

.=NCE$

610o.r tr-q !lo>8E

3EbU(go

8.E 2 a.Cg ctIE3 b.>{=EE C.

E(g.}ts5.Et, d

=qFH6(gOj"i5k'EXB 3 a..h lEE'E b.fr 6)?r>!iP; c.

=Gt*()

=c)I; 4 uHFio < i,"bl,

-i c.i * "'r:i::;

',q*,i+ C.(.) -. .r.. ,}. ",! a,, -& + /viq.

> .+:r.i* Tlt< -.. j" -r, . \

;"u*'''" 1;lltri

i 5a.b.c.

6a.b.

c.

PART _ A

Give the definition and objectives of metrology.Explain line standard and end standard with examples.

List the slip gauges to bu

Fourth Semester B.E. Degree Examination, June/July 2015Mechanical Measurements and Metrology

hrs. Max. Marks:lO'Q

" 'ij# i'

Answer any FIVE full quesfions, selecting atleast TWO questions from..eiffi"rtI i-. n..... .!'t: '

En*?F'!i'' 'ii+n'!i?

'.tL

'li.i' 'n

,..,i* .* (06 Marks)

..""'' (06 Marks)The slip gauge set M38 consists of the followionslsLs oI tne Iortowlng :

Ranse (mm) Steps (mm) Pieces1.00s 1+;l;*

1.01 - 1.09 0.01 %"1.1 - 1.9 0.1 9

1.0 - 9.0 1.0 9

10.0 - r00.0 10 ,* 10

ld the following : ,ri)u2 875mm ii-

nt"t""'1

*un"tt ,,,

What are Limit, Fit and tolerance?,, -u'-,,'

Explain hole basis system and sh.6"fi'Msis system.

(06 Marks)

z:.A.Cr,'ffi/1 l--,'b,,i4\.i.*

\.115.09mm',iflp m,?.i

Determine the dimensions of &-e *rit and hole for a fit 30H8dro and sketch the fit, given thefollowing data I ... ,'i) Diameter 30 falls in_1ffia range 18 - 30, upper deviation for "d" shaft is - 16D0'44.

ii) i: 0.45D% + 0.Qffi tolerance for IT8 : 25i,Tolerance for IT10 :64i. (08 Marks)

t u,r.-"

Sketch and e"xpUflsigma comparator. (08 Marks)Explain Wl,,S;:a neat sketch the construction and working principle of solex pneumaticcompar4,$,,fl (06 Marks)Give,+Iie.tystematic way of building angle gauges to set an angle of 330, 16' ,42", using aql?'.lg_ set of 13 pieces. Also sketch the combination of angle gauges used. (06 Marks)

;"'Ekplain the principle of interferometry with the aid of sketch.How do you find effective diameter of a screw thread using two - wire method? (06 Marks)With a sketch, explain the construction of a tool maker's microscope. What are its

(06 Marks)(06 Marks)

(08 Marks)

(08 Marks)(06 Marks)(06 Marks)

(06 Marks)(08 Marks)(06 Marks)

applications?

PART _ B

Explain with examples various stages of a gene ralized-.urrrlment system.Define : Sensitivity, Hysterisis, Repeatability.Give advantages and disadvantages of Electrical transducers.

With a block diagram, explain telemetry.With aneat sketch, explain the working principle of a CRO.What are X - Y plotters? With a block diagram, eiplain its working.

I of 2

Page 7: 4th Semester Mechanical Engineering  (June/July-2015) Question Papers

1OME4ZB,IIOAU42B

7 a. With a neat sketch, describe the Pirani gauge used for pressure measurement. (08 Marks)b. With aneat sketch, explain the working principle of prony brake dynamometer. (06 Marks)c. Describe with a neat sketch, the analytical balance. 1oo vt*r.,qstr"

iii;1s,rrrn .t

8 a. Sketch and explain the working principle of optical pyrometer. @ffirt<gb. Describe the steps to be taken for the preparation of specimen and mou1tttr=q oi strain

gauges. '''' '',,''a*"""'' (06 Marks)

c. What is a Thermocouple? State the laws of thermocouple. _ *""*", (06 Marks)

.til\ ,r,.C

t r:ir

:i""1\,,.rii

2 ofL

Page 8: 4th Semester Mechanical Engineering  (June/July-2015) Question Papers

USN lOME/AU43

efficiency(10 Marks)

a)()

E I lme:sEAth((,

()=C)!

dgbo-

-7= I a.(6 s,

=(abD rl

coo

Es b.bqootr-c c)

o>9e 2 a.

AAc6=e+ b.oa.)

OEootrclRIE!,Els5

€'daB 3 a.5.!J-9=a9 b.trE5(g()iui' O(.) =E,)tE

riC)?€>. +ibootr@o5Lr. ()

=c)a---rk6 l

A-lJ< ji --r.t'i:in.'

*C{ 1:: '.4'',:. a.v . ..i:: iif i r-'i. '!. iv

!',r., .*""'. b..,(s..''rl.!.,.'r'

a"E

Fourth Semester B.E. Degree Examination, June/July 2OlSApplied Thermodynamics

-. ",1

3 hrs. Max. Ivlark,p*:ffi"'

Note:'' iiiiJi fl/r7'{"!,{lil,riixfixi;7,?;*r *{;

j

"2" LIse of Thermodynalsic l)a.ls h.snd.book is treq,,fi1.,! .

'or.\ '.:il

PART.A ,*,"{:\\Explain the following : i) A - F Ratio ii) Calorific value,of1{fi#lt iii) Adiabaticflame temperature iv) Internal energy of combustion *qffi.: iombustion efficiency.

Coal with the foltowing mass analysis is burnt with 100%-d&:pH air, C : 7 4o/o, ,:': YTP,S :2.7o/o, Nz : 1.5Yo, HzO : 5.5Yo , C.2: 5% ,-ab{;'"lVr. Find the moles of gasesproduced, if 100kg of fuel is burnt. l+;ii

"' (10 Marks)

rdd

With the help of T - S and P - V diagrams, ddrnp-an expression for m.e.p of otto cycle interms of compression ratio, pressure ratio, slro.ffi! all the processes involvid. (10 Marks)The compression ratio of a Diesel engini'working oo u, ideal diesel cycle is 16. Thetemperature of ait at the beginning ofcffiression is 300K and the temperature of air at theend of expansion is 900K. Determ#"i,@' Cut - offratio ii) Expansion ratio ir) Cycleefficiency. *il:;11,,.i (10 Marks)

-'r,

!:ri!r

Explain the following in ffiI* : i) Morse test method ii) Willan's Line method.-/1\r.r.ii++.ir (08 MafkS)

A test on a 25 IC engrqqbive the following results at full load. Speed : 350 rpm ; Net brakeload:650N ; In4re#d m.e.p:3 bar ; Fuel consumption: 1.1 x 10-3 1qgus' ; Jacketcooling water ffi;ffi. : 0.138kg/s ; Jacket water temperature at inlet : i}'C' ; Jacketwater tempe;a#u&' at outlet - 400C ; Room tempeiature : Z00C ; Exhaust gas

feqperatu1effi00oc ; Air used per kg of fuel - 32kg ; Cylinder diarneter : 22cms ;Blukg d,r-*i#:'dircumference:314cms ;

-Calorific value of n.t :43 MJlkg ; Specific heat

of^exfui,hs"t gases : lkJlkg.K. Determine i) Mechanical efficiency ii) Brake meanq.{,"f-.,,$ 'V'e pressure. Draw the heat balance sheet including heat equivalent of BP, heat loss

, 'to friction, heat carried away by cooling water, heat carried away by exhaust gases and" accounted heat loss. (12 Marks)

With a superimposed T - S diagram, compare Carnot and Rankine vapour cycles operatingbetween the same boiler and condenser temperatures. (0g Marks)In a Rankine cycle, the steam inlet to turbine is saturated at a pressure of 35 bar and theexhaust pressure is 0.2bar. Calculate i) Turbine work , ii) F,r*p work iii) Rankineefficiency iu) Condenser heat flow v) Dryness fraction at the end of expansion.Assume the mass flow rate of steam as 9.5kg/sec. (12 Marks)

PART - BDefine the following with respect to'a compressor :

i) Isothermal efficiency ii) Adiabatic efficiiv) Overall efficiency v) Volumetric efficiency. i

t, ,lI oI /. ", sr:

a.

Page 9: 4th Semester Mechanical Engineering  (June/July-2015) Question Papers

lOME/ATJ43

b. An air compressor takes in air at 1 bar and 200C and compresses the same according to thetraw PVl'2 : C.It is then delivered to a receiver at a constant pressure of 10 bar. Determinei) Temperature at the end of compression ii) Work done and heat transferred during

b. A gas turbine plant works between the temperature timits of 300K and't00bK and apressure of 1 bar and l5bar. The compression is carried out in two stages;,.@th perfect intercooling inbetween. Calculate the net power ofthe plant, per kg of air o-irditlaiion :

compression, per kg of air. R : 0.287 kJ/kg.K.

a. With neat sketches, explain the working ofthe following :

i) Turbojet engine ii) Liquid propulsion rocket.

Cp: I kJ/ke.K ; y:1.4 forair.

a. Define the following : i) Refrigerating effectmaking capacity ir) Relative Cop.

ttt**T'ffi

.... ,tt ,,ltJf'';r f0 Marks)

(10 Marks)

iD TodWefrigeration iii) Ice

{;t i-*"iir (04 Marks)b. Give four comparisons between vapour compression dfi *tion and vapour absorption

refrigeration. ,{"lr.i, *

(04 Marks)c. A vapour compression refrigeration of 10 tonne"glscapacity using Freon 12 as the

refrigerant has an evaporator temperature of-fB.9G and a condensei t.-p.rafure of 300C.Assuming simple saturation cycle, determiaglp.i)-'Mass flow rate of refrigerant in kg/minii) Fower input iii) Cop. Cpv : A.7*'q#lkg.K.(Obtain properties of Freon - 12 Frorqr,,Dafa Handbook). (12 Marks)

,u'+iJ*oi't*;t*t'''+"

a" Derive an expression for the foll@d :

i) Specific humidity (w) *iift,,..nDegree of saturation (p). (08 Marks)b. The dry and wet bulb temp^e#hites of atmospheric air at 1 atmpressure are measured with a

sling psychrometer and fo"Iffic{'to be 250C and 150C respectively. Determinei) Specific humidity-#) Relative humidity iii) Enthalpy of air.

Use the table to fin,ffiEoerty values. Do not use psychrometric chart. (12 Marks)

i.$ t

2 of 2

Page 10: 4th Semester Mechanical Engineering  (June/July-2015) Question Papers

USN IOME/AU44

Fourth Semester B.E. Degree Examinatiorr June/July 2015Kinematics of Machines

Time: 3 hrs. Itta*. tvtarls.$

Notez 7. Answer any FIWfutt qaestions, seleaing ,...Qi )'

otleast TWO questions lrom each patt .^i ?'E '' "9:7"-m'#:;Wbedoneongrqthslee4')'€.!e PARr-A dF

'

E 1 a. With a neat sketch define the following: - )VE ll Kinematic link -d)' -

ii ii) Kinematic pair , PSg iiil Kinematic chain ,..\OgE i"i Kinematic mechanism A'V{ E v) Machine. \\l (toMarks)

CJ! b. Define inversion of a kinematic chain. With th?lh"& of a neat sketch explain inversions of

E * single slider crank chain.

eU. (lOMarks)

E E 2 a. With the help of a neat sketch, explg,in the working principle of crank and slotted leverE E mechanisrn ,^L) (10 Marks)

2 e b. List various straight line generatja$pleshrnismq. With the help of a neat sketch along with

! 'E proof, explain how a peaucelliqXgdhanism generates a straight line. (10 Marks)

€ g 3 PQRS is a four bar m/s.ffi r, fixed as shown in Fig.e.3(a). The lengths of tle links

$E are; PQ = 62.5 mrn, a($t75 mnt RS = 112.5 mrn, PS = 200 mm. The crank Pe rotates at

: E 10 radls clockwise. pp'the velocity and acceleration diagrams when angle QPS = 600 and

gE S#I_t ": bCE . side of PS. Find angular velocity and angular accelerationnof links

fg QRandRS.l$ ^o ,*- (2oMarkr)

6E e# - /-/-\REg a\

FicQ3 H, \' " $(":sxi:,A$ il;, uq/ \ 6f-Jit'

E E. C$ angular velocity oflink AB aad velocity ofslider. Crank OB rotates CW ai iSO.p*ililrta '-::-- -.^. - (roMarks): A B AB= eod mtn6 {' Fig.Q.a(a) -4 0a = rso ,'n

\Tr\ Lrs

.i ..iE^ ez4"E b. State Kennedy's theorem and state tlie properties of instantaneous centres (any two).F (04 Mark0EE c' With the help of a sketch, explain: i) Fixed instantaneous centre ; ii) Permanent

instantaneous centre and iii) Neither fixed nor permanent instantaneous centres. (06 Marks)

Page 11: 4th Semester Mechanical Engineering  (June/July-2015) Question Papers

6a.b.

c.

7a.b.

lOME/AU44

PART - BThe crank and connecting rod of a reciprocating engine are 300mm and l500mm in lengthrespectively. The crank rotates at 180 rpm in the clockwise direction. Determine the velocityand acceleration of the piston when the crank is 40o from IDC. Also determine the posi$onof the crank for zero acceleration of the piston. Use complex algebra method. (20 Mm)

d,\#*Compare involute and cycloidal tooth profiles of a gear. ffifarks)What is interference with respect to involute gears? State the methods to avoiffigdference.

& --l (06 Marks)A pinion of 32 involute teeth and4 mm module drives a rack. The pressu$qng)e is 20o. Theaddendum of both pinion and rack is the same. Determine the maxiffilermissible valueof addendum to avoid interference. Also find the number of pairs offi in contact.

o iW (l0Marks)

#-wSketch and explain: i) Compound gear train ii) Epicyclicdp&&ain. (06 Marks)In the epicyclic gear train shown in Fig.Q.7(b) the comppffid wheels 'A' and 'B' as well asinternal wheel 'C' and 'D' rotate independently aboffithffixis '0'. The wheels 'E' and 'F'rotate on the pins fixed to arm 'a'. All the wheels ffi6f the same module. The number ofteeth on the wheels are Te : 52, Ts : 56, Ts : ffi fr6. Determine the speed of C if ;i) The wheel D fixed and arm 'a' rotate,rffmQdrpm in the clockwise.ii) The wheel D rotates at 20 rpm counh#bloclavise and the arm 'a' rotates at 200rpm

clockwise. # d (l4Marks)

.&,4/.fi.\du\\#A{

"'*kJ*.t 1A\prs.bq -tU*r

.ffi3ft'*

8 a. Sketcdbfb[owine:i)**ffic cam witi'tni).;.$sc cam with translating follower.lfi' Wedge cam with translating follower.

.GD Cylindrical cam with oscillating follower. (06 Mgrks)

.U9 Draw the profile of a cam operating a knife edge follower having a lift of 30 mm. The cam

vS raises the follower wittr simple harmonic motion for 150' of ihe rotation followed by a.^ AY period of dwell for 60o. The follower descends for the next l00o rotation of the cam with

\h\-J uniform velocity, again followed by a dwell period. The cam rotates at a uniform speed of\ 120 rpm and has a least radius of 20 tnrr:.. What will be the maximum velocity andacceleration of the follower during the lift and the return?

:f{.:frf*

2 ofl

Fig.Q.7(b)

(14 Marks)

Page 12: 4th Semester Mechanical Engineering  (June/July-2015) Question Papers

USNlOME/AU4s

Max. Marks:10O

Fourth Semester B.E. Degree Examination, June/July 2015

Manufacturing Process - Il

C)o()(BL

a

G)(00)L

o ,\()X

.Y-Cg qJ

=(nbo ll

tr00.E c\dtf,

HoOYC)06)A-O)

*,a

aX

C)()

Coo

ooi(oad

>q-(!

Ecd

-2" fa-

ir. atrc-

C)=s(.)ah tE

L(j)

5.v>htr' oo

0)=E$=c)

o<;oi0)

Zd

1a.b.

c.

a.

b.

a.

b.

c.

Time: 3 hrs.

4a.b.

c.

5a.b.

c.

6a.b,

:

c.

7a.

b.

8a.b.

Note: Answer any FIW full questions, selectingatleast TWO questions from each part.

PART - A .,,,' ''.. '

Explain the various elements of a single point cutting tool, with the helpof a,neat.[T#"rur,.'',

With the help of neat sketches, explain the different types of chips that'are formed duringmetal cutting. (06 Marks)

The following data refer to an orthogonal cutting process. ,C[aipr

thickness 0.62mm, feed

0.2mm, rake angle 15o. Calculate chip reduction coefficienl shear angle. (06 Marks)

Clearly explain the different factors that are to be+on$idered during the selection of a

machine. (08 Marks)Write a short note on selection of grinding wheel. (06 Marks)

With the help of neat sketches, discuss the working of continuous surface broachingmachine. (10 Marks)

Sketch and explain the process of lapping on a lapping machine. (10 Marks)

Explain with neat sketch principle and advantages of electro chemical machining process.(10 Markc)

Explain with neat sketch principle and applications of ultrasonic machining process.(10 Marks)

cutting tool material. (12 Marks)

Explain with neat sketch measurement of tool trplgmperature. (08 Marks)

.,:,

With the help of a neat sketch, explain the con-dtructional feature of a capstan lathe.(06 Marks)

With a neat sketch, explain hydraulidiying mechanism of a shaper. (08 Marks)

Sketch and explain the open and cr$lt driving mechanism of a planer. (06 Marks)

::.Draw a neat sketch of a drill bit"and explain its nomenclature. (08 Marks)

With a neat sketch, explain the working of gang drilling machine A-..-#-_ (06 Marks)

Explainwithsketchesttiowingoperationsinadri1lingmachffi,ffi'i) Spot facing ii) rre panning

{f-{ *str\,)ff6 Marks)

' i'' "' PARr - B l',i[ ol}*u** ln;,With a neat .h explain horizontal milling machine. '':'-e[t -

./r:{db ruu.r.sl

Showthe*imlationsforsettingdividingheadtomill87divisio,'.bnMwheelblankby comp'eunO inaexing. :'I '&-:r.'

(06 Marks)

S(et ,aild explain the slab milling and gang milling operations. (06 Marks)

What do you mean by grit, grade and structure of grinding wheel? (06 Marks)With the help of a block diagram, explain the working of a center type cylindrical grinding