11
)y $,^ rvttr USN Time: 3 hrs. 21-i,-2+i. b. Find the bilinear transformation which maps I, i, - | to Z, i, -2 fixed points of the transfonrration. c. Discuss the confonnal trans[ornration of w == 'r,t. i ol-2 lSMAT4T (06 Marks) respectively. Also find the (07 NIarks) (07 u'larks) C. O o () !v .h () t .JX -*' d q,) 'o, oo" troo .= C.I \!\ o Ylj (J= Ec) / 11 .n u, -d ct= ij c) cog (l.i -c >! ad =9 ad ic) oj Av) Li '-r 9 'id a: <-= 5.v ooo I a.D r* C) E2 Yl- \r< .- c.i o '7 f o- a. b. Fourth Semester B.E. Degree Examination, June/Julv 2016 Englneerimg Mathefr?laties - IV Using Adams-Bashfbrth n:ethocl, obtain the y(0) : 0, y(A.2): 0.0200, y(0.4) .= 0.0795, twice. Max. Marks:i00 Note: l" Answer {nru}) FlV'E fiall guesti$ns, selecting st{e#st TWO qwestions frowa each part. 2" Use a.t'statistictsl tables permitteel. IIART - A Using Taylor's series method, solve y' : x * y', y(0) : 1 at x : 0"1 ,0.2,considering upto 4tl' degree term. .' (05 Marks) Using modified Euler's method, {rnd an approxinrate vaiue of .g when x - 0.2 siven that += x +y and y: 1 when x : 0. Take h : 0.1. Perfcrrm two iterations in each stage. dxJ (07 triGarks) dv solution n; .-l - x - y2 at x : 0.8 given that tix y(0.5) == 0.1762. Apply the corrector fun:luia (07 &tarks) C. a. Employing the Picard's method. obtain the secoi:d order apprcxirnate sclution of the following problem at x : 0.2, 9- - x + yz, + - v + zx, y(0) = i, z(0) = -1 . (s6 s{arks} Solve += t+xz. and el-", for x tl'' 0., by apptying Runge Kutta mettrod giverr dxCxJ y(0) : 0 and z($): 1. "['ake h =" 0..3. (07 S'narks] Using the Miine's method, obtain an approxiulate soiution at the point x : A.4 of the r-l problem gi+3x+- 6y -0 given that y(Ct) : 1, y(0.1) : 1.03995, y$.2) :1.1381]36, ' dxt - dx -r y(0.3) : 1.29865, y'(0) : 0.1, y'(0.1) : 0"6955, y'(0.2) : 1.2.58, y'(0"3) - 1 .873. (0T hlarks) coffesponding analytic lirnction I ^,r r,r \ c. If (z) is a regular funcrion of z. Firo\/c rhat I 1;*+ iif(r)l' -+lf'k)l' \rtx- c)y'-,) ' a. Evaluate using Cauchy's integral fi:r,nula ito,t^lc, around a rectangle in,ith ve$ices r z- -l e b. a. Define an anaiytic function and obtain Cauchy-itiemann equations in polar form. (06 Marks) b. Show that u : e'^ (x cos2y y sin2y) is a hannonic function and determine the (S7 Marks) (07 Marks)

4th Semester Mechanical Engineering (June-2016) Question Papers

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Page 1: 4th Semester Mechanical Engineering (June-2016) Question Papers

)y $,^ rvttr

USN

Time: 3 hrs.

21-i,-2+i.b. Find the bilinear transformation which maps I, i, - | to Z, i, -2

fixed points of the transfonrration.c. Discuss the confonnal trans[ornration of w == 'r,t.

i ol-2

lSMAT4T

(06 Marks)respectively. Also find the

(07 NIarks)(07 u'larks)

C.

Oo()!v

.h

()

t

.JX

-*'d q,)

'o,oo"troo

.= C.I\!\

o Ylj

(J=Ec)

/11 .n

u, -dct=

ij c)

cog(l.i

-c>!ad

=9ad

ic)

ojAv)Li '-r9 'id

a:<-=5.voooI a.D

r* C)E2Yl-

\r<.- c.i

o

'7

f

o-

a.

b.

Fourth Semester B.E. Degree Examination, June/Julv 2016Englneerimg Mathefr?laties - IV

Using Adams-Bashfbrth n:ethocl, obtain the

y(0) : 0, y(A.2): 0.0200, y(0.4) .= 0.0795,twice.

Max. Marks:i00

Note: l" Answer {nru}) FlV'E fiall guesti$ns, selectingst{e#st TWO qwestions frowa each part.

2" Use a.t'statistictsl tables permitteel.

IIART - AUsing Taylor's series method, solve y' : x * y', y(0) : 1 at x : 0"1 ,0.2,considering upto 4tl'degree term. .' (05 Marks)Using modified Euler's method, {rnd an approxinrate vaiue of .g when x - 0.2 siven that

+= x +y and y: 1 when x : 0. Take h : 0.1. Perfcrrm two iterations in each stage.dxJ

(07 triGarks)

dvsolution n; .-l - x - y2 at x : 0.8 given that

tixy(0.5) == 0.1762. Apply the corrector fun:luia

(07 &tarks)

C.

a. Employing the Picard's method. obtain the secoi:d order apprcxirnate sclution of the

following problem at x : 0.2, 9- - x + yz, + - v + zx, y(0) = i, z(0) = -1 . (s6 s{arks}

Solve += t+xz. and el-", for x

tl''

0., by apptying Runge Kutta mettrod giverrdxCxJ

y(0) : 0 and z($): 1. "['ake h =" 0..3. (07 S'narks]Using the Miine's method, obtain an approxiulate soiution at the point x : A.4 of the

r-l

problem gi+3x+- 6y -0 given that y(Ct) : 1, y(0.1) : 1.03995, y$.2) :1.1381]36,

' dxt - dx -r

y(0.3) : 1.29865, y'(0) : 0.1, y'(0.1) : 0"6955, y'(0.2) : 1.2.58, y'(0"3) - 1 .873. (0T hlarks)

coffesponding analytic lirnction I ^,r r,r \

c. If (z) is a regular funcrion of z. Firo\/c rhat I 1;*+ iif(r)l' -+lf'k)l'\rtx- c)y'-,) '

a. Evaluate using Cauchy's integral fi:r,nula ito,t^lc, around a rectangle in,ith ve$icesr z- -le

b.

a. Define an anaiytic function and obtain Cauchy-itiemann equations in polar form. (06 Marks)b. Show that u : e'^ (x cos2y y sin2y) is a hannonic function and determine the

(S7 Marks)

(07 Marks)

Page 2: 4th Semester Mechanical Engineering (June-2016) Question Papers

a.

the third um.

a. The probability nlass function of a variate X is

PAR'['-- B

x 0 2-!J 4 5 6

p(x) l,tl. 3k 5k 7k 9k l ik r3k

lOMAT4I

complete solution in terms

(06 Marks)(07 Marks)

(07 Marks)

(07 Marks)

(06 Marks)(07 Marks)

Reduce the differential equation:

. d2y dvx-

-+x+-+(k2x'-n')y = 0 into Bessel forrn and write thetix' dxof t,(x) and t-,(x).Express (*):

^t + 2*'- x - 3 in terms of Legendre polynomials.

If o and B are the roots of rn(x) : 0 then prove thatr | 0, rx+[]

{^r,(*x)t,(Fx,o. =i}[r,,-,,(o)],, a : F.

b.c.

a. The probabilifv that sushil wiil solve a problem is ll4 and the probability that Ram willsolve it is 23. trf sushil and Rarn work independently, what is the probability that theproblem will be solved by (i) both of them; (ii) at least one of them? (06 Marks)

b. d committee consists of 9 stuCents two of which are from firstyear, three from second yearand four from third year. Three studenis are to be removed at random. What is the chancethat (i) the fhree students belong to difTerent classes; (ii) two belong to the same class andthird to the different class; (iii) the three belong to the same class? (07 Marks)

c. The contents of three ums are: I v,,hite, 2rcd,3 green balis,2 r,vhite, 1 red, I green balls and4 white, 5 red, 3 green balls. Two balls are drawn lrom an unl chosen at random. These arefound to be one white and one green. Find the probability that the balls so drawn came from

i) Find kii) Findp(x<4),p(x>5), p(3 < x < 6),p(^> i)iii) Find the mean.Derive the mean and variance ol Poisson distribution.b.

c. The mean height of 500 students is l5icm and the standard deviation is 15cm. Assumingthat the heights are norrnally distributed, tind how many students heights i) lie between 120and 155cm; ii) rnore than 155crn. [Given AQ.AT: 0.4808 and A (0.27): 0.1064, whereA(z) is the an'ea underthe standard normal curve from A b z > 0]. (07 Marks)

a. The means of simple samples of sizes 1000 and 2000 are 6J .5 and 68.0cm respectively. Canthe samples be regarcied as drarvn from the same population of S.D 2.5cm[Given za.os:1"96]. (06 Marks)

b. A random sarnple of i0 boys had the follorving I.Q: J0, l2A, ll0, 101,88,83,95,98,1A7,100. Do these data support the assumption of a popuiation mean I.Q of 100? [Given toos for9d.f:2.261.The following table givesdays ofthe week" Find wh

accidents thatthe number:ther the acc

of aircraftidents are

occurredibuted ov

during:r the v

(07 Marks)the variouseek.wnerner rne accloenls are unllorrn str uleo over tne w

Days Sun Mon Tue Wed Thur Fri Sat TotalNo. of accidents : 14 t5 8 t2 11 9 t4 84

[Given ,]r;,,. 6d.f = 12.5gl' | 0_0.<

d(****

2 of 2

c.

iformlv dist

(07 Marks)

Page 3: 4th Semester Mechanical Engineering (June-2016) Question Papers

USN q I LO { -9 ( c lr.r I t llFourth Semester B.E" f)egree Ex&xI?

Advanced ltllathemTime: 3 hrs.

Note: Answer arql I-IVE./ull questions.

a. Find the angle between any trvo tiiagorrals of'a cube.b. Prove that the general equation of first degree in x. y, z {epresents a piane.c. Find the arigtre between tiie lines,

x-l=y-5 _2.+l und ^*3_),_, 210s352Prol,e that the iines,x-5 _ y-i _r-5 o,r.l

**3 _y--1._,3 I -2 I 3 5

Find the sliortest rlisraiice betrveen thc iines.

arc perpendicular.

x-8 y+9 z-10 x-15 y-29 z-5

pflATBip+Or

201 6

Max. Marks:100

{07 Marks)(07 Marks)

(06 &tarks)

($7 i\,{arks}

(07 Marks)

{2, 7 , l) and the iine ,

(06 ${arks}

utrv

;

c)o

:r

5aCd

()p

(.)L

C)X4

-;-J?=-:63u

= lr,

^^lli.c.= a'l

c.) :3()=d0)

oi)l-

ooc

-0J

5iraro-Ftreorv0();

L- (J

6.e>\'+-^^cu4

:c5i- dJ

()

o<_N

0)

Z

lr

a.

a.

b.

a.

b.

C.

3 -15 1 j 8 -:''Find the e riuation of the plane containing the pointx+l _y-2 _z-rl2 3 -l

2i-.i+k,Find the constant

if a - 2i+3j-4kll

l- -l

lax bi .

tiFind the volumevectors,

Find the velocity and acceleration of-+

r = e-''i + 2cos5d+ 5sin 2tk at any tir-rre 't'.Find the directional derivative cf x' "rz' at ( I , 1,,

a' so that the vectors i + Zi- 3[ antl 3i + a.]+ Sk are co-uianar.

{07 iVfl:rrks})^-+Lz

anci b=8i-4i+k thettpl'ovethat a isperpendicuiarto b anctralsofind

(07 h{ari<s}

of tlre parallelopiped whose co-terminal eCge's are rep;:csented biz tile

a. a particle moves

(06 Marksi

along the curve

(CI7 Marks;

!) in the clirection of i + j + 2k . (07 &{arks}b.

c.

q

b.

Find the divergence of the ve ctcr F : ( xyz + \,trli+ (:^'

-+^_)_)F - (x +y+ l)i +j-(x +y)k. sirow rhar F.curlF - 0.

Sirow that the vector field, r - 1:* -r3y +az)i+(x- 2y + -zz)j+(3x + 2y-z)k is

Find the constants z,b, c such that the vector fleld,--+ '

)i + (* + cy + Zz)j+ (Ux + 2y - ,)k is irrotarional.F-(x+y+ez

+ yt, [ + (xz2 - ytz)k . (06 hf ar.ks)

(07 Marks)

solenoidal"(G7 Marks)

(06 Marks)

C.

Page 4: 4th Semester Mechanical Engineering (June-2016) Question Papers

6 a. Prove that L(sin ar)-

b. Find f-[sin t sin 2t

c. Find f,[ccs' tJ.

aL-'

s- +a-sin 3tl.

MATDIP4Ol

(07 Marks)

(07 Marks)

(06 Marks)

(S7 Marks)

(07 Marks)

(06 Marks)

.8

a.

b.

C.

a.

b.

Find the inverse Laplace transfo

T ( or\r'Findf'l logl t* ,li

L \ s ))

Find L-,[ . t*2 l.Is--4s+13]

Soive the differential equatlon,

Lapiace transform techniques.Soive the differential equation,

techniques.

nn of(s+1)(s+2)(s+3)

y'' + 2y _'.*

y = 6te-' uncier the conditions

,r" -3y' +2y - Q y(0) = 0, y'(0) = i by

Y(0) = 0

Laplace

= y'(0) by(10 Marks)transform(10 Marks)

**x**

2 ot2

Page 5: 4th Semester Mechanical Engineering (June-2016) Question Papers

USN

a.

b.

5a.b.

oO

C)

qo.d

a(g

0)

C)tr

Eg|\=-v.(gu=\nio ti

eoo.5 orcg$

gil(t)C,.o)

E9

8e(rx

O()do

6J 63

>-)(t,ls=-o(6

-z- ts

5iJa-

d. 8.

o;?.=6:A LZ,

EEl-()?-(,>\ (Fcoocca()=

=cS=s)=in()

(-, <- c'i

o

z

li

E

Fourth Sernester B.E. Degreefflaterial Science and lMetallurgy

Time: 3 hrs. Max. Marks:100

Note: Answer any FIVE full questions, selecting atleast TWO questions.f,rom efrch purt.

PAIIT'_ A

a. Distinguish between BCC, FCC and HCP crystals withLattice constant, Co-ordination number and APF.

respect to structure, No. of atoms,

ii) The diffusivity of iron atoms in th'e BCC Fe lattice is 2.1 x 10-23 m2ls at 4000C and4.0 x 10-i6m2/S at 8000C. Calculate the activation energy in.troules per mole for diffusion ofiron atoms in BCC Fe lattice in this temperature range. Take R:2.3 x 8.314 Jlmol - K.

(04 Marks)

a. With the help of Stress - Strain cliagram,, explain any Four mechanical properties in plasticregion. (08 Marks)

b. Derive an expression for true strain and convention strain. (04 Marks)c. What is Plastic Deformation? With a fieat sketch, explain the mechanism of Twinning.

(08 NIarks)

a. What is Fracture? Derive an expression for fracture strength of a real rnaterial based onGriffith's theory of brittle fracture. (08 Marks)

b. Briefly discuss the factors affbcting creep. (04 Marks)c. What is Fatigue? Brietly explain R.R. Moore fatigue testing and plot S - N curves for mild

steel and Aluminium alloy. (08 Marks)

i) What is Solidification? Derive an expression for critical radius of Nucleus and explainits importance. (05 Marks)

ii) Write in brief note on Cast Metal Structures. (05 ivlarks)i) What are Solid Solutions? Briefly discuss Hume Ruthery Rules for the formation cf

substitutional solid solutions. (05 Ntarks)ii) Explain the application of Gibb's phase rule for a Binary phase diagram. (05 Marks)

b. What is Berger's vector? Explain its signifrcance using edge dislocation.c. i) What is Diffusion? Explain the factors affecting diffusion"

rc.8What is a Phase Diagram? Explain its significance.

(08 Marks)(04 Marks)(04 Marks)

(04 Marks)The melting point of lead is 32-t0C and that of tin is 232aC, they form an Eutectic of 620/o tinand 38o/o lead, at 1830C. At Eutectic temperature, maximum solubility of tin in lead is l9o/oand lead in tin is 3?'0. Assume their solici solu'rrilities at 00C is 0%, Iiquidus solidus andsolvus lines to be straight. Draw pirase diagram to scale indicating all phase fields anclexplain the solidification of 30% tin'and 70% lead alloy. (08 Marks)

c. Draw Iron - Cementite phase diagram showing all Phase fields, Critical temperature andInvariant reactions. (og Marks)

1 of )

Page 6: 4th Semester Mechanical Engineering (June-2016) Question Papers

With neat sketches, explain the follcwinga. TTT -- Diagram.t,. Normalizingheat treatrnent.c. Fiame hardening.d. Age - hardening of At - Cu Ailoys.

Briefly explain tLre structure, properties, conlposition anC

a. Types of CAST IRONS.b. Alloys of copper (any four).

lSME4 zAJA1J42A

(05 Marks)(05 Marks)({}5 Marks)(05 Marks)

applications of the following :

(10 Nfarks)(t0 Marks)

8a.

b.

What are Composites? N{ention any fcur advantages and applications of composites.(06 Marks)

With a neat sketch, explain the tbbrication of FRP's by any one rnethod of open mouldprocesses. (06 Marks)

o. With a neat sketch, explain the production of MMC's by Stir casting technique. (08 Marks)

.l-.L&&&

2 of 2

Page 7: 4th Semester Mechanical Engineering (June-2016) Question Papers

USN IOME/AU43

Fourth Semester B.E" Degree Examination, 24rc

Time: 3 hrs.

Applied Thermodynanxics

Note: 1. Answer FIYE full questions, selectingst least TWO questions.from esch part.

2. Use of Thermodynamics Data llond book perwitted.

PART _ ADefine the following :

i) Adiabatic flame temperature ii) Stochiometric air iii) Excess airiv) Enthalpy of formation v) Enthalpy of combustion. (I0 Marks)

b. Methane (CH+) is burned with atmospheric air. The analysis of the products of combustionon a dry basis is as follows: COz - l0% Oz - 2.37% CO - 0.53% and Nz - 87.10%.Calculate the air fuel ratio and the percent theoretic al air and determine the combustion

Max. Marks:100

C)(.)

(-)(€lio.(3

Ea

C)

C)tiA .\()Xi\=*=(!!JE-,oo ll

coo.= c\d$

Etr(I)tr-c c)

8ea=

(J()

6U

o!c0c(sc0

>e-(tt!s=

!(d.>ts5ija-40)s. Q-tro.0();?.YOE5(Jraq=

t6)? 'r:

dr,otr- o0

a)=o- :X

XG,o(., <* C..l

C)

zp

L

o.

a.

equation.

a. Explain the method of findings friction power usingi) Morse test ii) Motoring test of an engine.

(10 Marks)

(08 Marks)b. In a test of 4-cylinders, 4-stoke petrol engine of 75mm bore and 100mm stroke. The

following results were obtained at fullthrottle at a constant speed and with a fixed setting ofthe fuel supply at 0.082 kg/min. BP with all the 4 - cylinders working: 15.24kW. B.P withcylinder No.1 cutoff : 10.45kW, BP with cylinderNo.2 cutoff : 10.33 kW, BP with cylinderNo.3 cutoff : 10.23kW, BP with cylinderNo.4 cutoff : 10.45kW.Determine :

i) The indicated powerii) The indicated thermal efficiency, if CV of the fuel : 44mllkg.iii) Relative etficiency based on IP is clearance volume in each cylinder: l15CC.

(12 Marks)

Derive an expression for thermal efficiency of Dual cycle with PV and TS diagrams.(10 Marks)

An engine operates on atr standard diesel cycle. The pressure and temperatures at thebeginning of compression are 100KPa and27". The compression ratio is 18. The heat addedper kg of air is 1850kJ. Determine maximum pressure, Maximum temperature, thermalefficiency, network done and mean effective pressure of the cycle. Assume y : 1.4 andcp : l.oo5 kJ/kg K. (ro Marks)

With T-S and schematic diagrams explain regenerative cycle with open feed water heater.(10 Marks)

b. A 40MW steam power plant working on Rankine cycle operates between boiler pressure of4MPa and condenser pressure of lOKPa. The steam leaves the boiler and enters the turbineat 400'C. the isentropic efficiency of the steam turbine is 85% determine:i) The cycle efficiency ii) The quality of exhaust steam from turbine

a.

b.

iii) Steam flow rate in kg/hr. consider pump work. (I0 Marks)

Page 8: 4th Semester Mechanical Engineering (June-2016) Question Papers

PART -.Ea. Derive expression for the intermediate pressure which gives minimumcompressor with perfbct inter cooling.

b. A single cylinder, double acting air compressor is required to delivermean piston speed of 500m/min measured at lbar and 15oC. The air

Assume a clearance volume of ]- tn of swept volume per stroke. Find

l5

lOME/AU43

power in a two stage(08 Marks)

100m3/min of air at a

is delivered at 7 bar.

volumetric efficiency

(10 Marks)

(02 Marks)

work output(06 Marks)

advantages,(10 Marks)

efficiency of Gas Turbine(04 Marks)

(12 Marks)(02 Marks)

(05 Marks)

(08 Marks)(06 Marks)

U.

speed, bore, stroke for the following two cases.

i) If ambient and suction conCitions are sameii) If ambient and suction conditions are different.Assume, Ambient pressure : 1.Obar,

Ambient temperature: 15oC, Suction pressure:0.98 bar. Suction temperature:30"C

L :1.25DWrite the uses of cornpressed air.

Derive an expression for optimum pressure ratio which gives maximum specificin gas turbine considering machine efliciency.Explain the lvorking of a raqjet engine with the help of a sketch. What are itsdisadvantages and applications?

c. Explain with neat sketch any one method to improve thermalcycle.

from water at25oC, what the tonnage of the unit?b. Draw neat PV and TS diagram for reversed Brayton cycle.

b.

a. A refrigerating unit takes air from a cold chamber at 5oC and compresses it from l bar to6.5bar. The index of compression is 1.25. The compressed air is cooled to a temperaturewhich is 10'C above the ambient temperature of 30'C before being expanded isentropicallyin an expander. Neglecting the clearance volume of compressor and expander. Fin<i the COPand the amount of air circuiated in nr3/min. if 2000kg of ice is to be formed per day at OoC

c. Shor,v that COP re'ersed Brayton cycle : #llRo' -llLJ

Where Rp: pressure ratioC,

y - *. remains same during expansion and compression process.L, !,

a. With a neat sketch, briefly describe a summer air conditioning system.b. Define the following: i) DBT ii) Specific humidity iii) Relative humidity.c. Show the following processes on Psychrometric chart.

i) Sensible heating and coolingii) Cooling and dehumidificationiii) Adiabatic mixing of two streamsiv) Heating and humidifrcation.

* {< * ,< *

2 of 2

(06 Marks)

Page 9: 4th Semester Mechanical Engineering (June-2016) Question Papers

eili"sr m,tl'.-

lrtr.mnmv

USN

Fourth Semester B.E. f)egree Examinatior, June/Juty 2016Kinematics of Machines

Tirne: 3 hrs.Note: Answer FIVE full questions, selecting

at least TWO questions.from each part.

PART _ ADefine the following:i) Kinematic chainii) Mechanismiii) Structureiv) Inversionv) Degree of freedom.Describe with neat figures two inversions of double slider-crank chain.

a. With neat sketch,, explain crank and slotted lever quick return mechanism.b. Explain the pantograph mechanism, with a neat sketch. State its applications.c. Draw a line diagram and explain peancellier's straight line mechanism.

IOME/AU44

Max. Marks:100

(10 Marks)(10 Marks)

(07 Marks)(07 Marks)(06 Marks)

a.

b.

(.)(.)

olio,

a(B

c)C$()ti

oXGl=o.;-

J,(B IJ

-oo llgca.=N(o$

EtrG)C

-C(')

Ee

a>I

oc)(€o50i.86

o>€'? csss=!(g-)5r c)

bs(ha

d-gtrE5cd0();"h,Jc):3(J'r, rEa;! 0,)

6.e^^Odoo(.)=:+9^d)

qJ<_N

(.)p

zPli

E

A four bar chain ABCD has a fixed link AD : I m. The driving crank AB : 0.3 m.The follower link CD : 0.6 m and the connecting link BC : 1.2 m. Find the velocity andacceleration of point'P'midway between B and C, when the angle BAD: i35o and ABrotates clock wise at a speed of 300rpm with an angular acceleration of 20 radlsec2 in CCWdirection. (20 Marks)

a. State and prove 'Kennedy's theorem'. (05 Marks)b. In a reciprocating engine, the length of crank is 250mm and length of connecting rod is

1000mm. The crank rotates at an uniform speed of 300rpm in clockwise direction and thecrank is inclined at 30o with inner dead centre. The centre of gravity of the connecting rod is400mm away from the crank end. By Klein's construction determine: i) Velocity andacceleration of piston; ii) Angular velocity and angular acceleration of connecting rod andiii) Velocity and acceleration at the centre of gravity of the connecting rod. (15 Marks)

PART _ BIn a reciprocating engine length of crank is 250mm and length of connecting rod is 1000mm.The crank rotates at a uniform speed at 300rpm CW Crank is at 30o frorn IDC. Determine:i) velocity of piston and angular velocity of connecting rod.ii) Acceleration of piston and angular acceleration of connecting rod by complex algebra

method from frst principal. (20 ularks)

a. State and prove law of gearing" (06 Marks)b. Derive an expression for path of contact. (06 Marks)c. A pair of spur gears has 16 teeth and 18 teeth, a module l2.5mm, an addendum 12.5mm and

a pressure angle 14.5". Prove that the gears have interference. Determine the minimumnumber of teeth and the velocity ratio to avoid interference. (0g Marks)

I ^f 1

Page 10: 4th Semester Mechanical Engineering (June-2016) Question Papers

IOME/ AIJ44

a. Explain epicyclic gear train with neat figure. (05 Marks)b. An epicyciic gear train consists of a sun wheel (S), a stationary internal gear (E) and three

identical planet wheels (P) carried on a star shaped planet carrier (C). The size of differenttoothed wheels are such that the planet carrier C rotates at ll5 of the speed of the sun wheel.The minimum number of teeth on any wheel is 16. The driving torque on the sun wheel is100Nm. Determrne:i) Number of teeth an different wheels of train.iD Torque necessary to keep the internal gear stationary.

Draw the profile of a cam operating a roller reciprocating foliower with the following data:minimum radius of cam:25mm; lift:30mm: roller diameter: 15mm. The cam lifts thefollower for l20o with SHM follorved by a dwell period of 30o. Then the follower lowersdown during 150o of the cam rotation with uniform acceleration and deceleration followedby a dwell period. lf the cam rotates at a uniform speed of l50rpm. Calculate the maximumvelocity and acceleration of the follower. during descent period. (20 Marks)

(15 Marks)

*****

2 of 2

Page 11: 4th Semester Mechanical Engineering (June-2016) Question Papers

USN

Fourth Semester B.E. Degree

Time: 3 hrs. Max. Marks:100

PART _ Aa. With neat sketch, give nomenclature of a single-point-cutting-tool.b. List various factors affecting tool life. Explain any two of them.

c. In an orthogonal cutting the following observations were made:(i) Feed :0.25 mm/rev (ii) Chip thickness : 0.8 mm (iii) Depth of cut * 2 mm(iv) Length of chip-tool contact:0.5 mm (v) Working rake angle - 0'(vi) Cutting force : 1800 N (vii) Axial thrust, Ft : 900 NDetermine :

* The mean angle of friction on tool face.

* The mean shear strength of the work material.

'!' The maximum frictional stress on tool face. (07 Marks)

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Manufacturing Process - llNote: Answer FIVE.full questions, selecting

at least TWO questions from each part.

a. Explain the three zones of heat generation in metal cutting.b. Briefly explain the desirable properties and purposes of cutting fluids.c. List the various methods of chip-tool interface temperature. Explain briefly

thermocouple method of measuring it.

a. Differentiate between Capstan and Turret Lathe.b. Explain with a neat sketch Crank and slotted link type of Quick

shaper.

(07 Marks)(06 Marks)

(06 Marks)(08 Marks)tool work(06 Marks)

c. Sketch planning machine and indicating major parts.

a. Draw neat sketch of a radial drilling machine and indicating parts.b. Briefly explain absolute co-ordinates system and incremental co-ordinate

(04 Marks)return mechanism of a

(08 Marks)(08 Marks)

(06 Marks)system used in

(08 Marks)(04 Marks)

CNC. (oB Marks)

c. With simple sketches, explain the following processes: (i) Counter sinking (ir) Trepanning(iii) Reaming. (06 Marks)

PART - Ba. Draw a neat sketch of horizontal milling machine and indicating parts. (08 Marks)b. What is indexing? Name different methods of indexing. Briefly explain compound indexing

method.c. Differentiate between up milling and down milling.

a,. Explain the factors to be considered for selection of grinding wheels. (06 Marks)b. Briefly explain external cylindrical centreless grinding with a neat sketch. Mention the

advantages of same over centre-type grinding. (08 Marks)c. Explain the following grinding wheel parameters: (i) GRIT (ii) Grade (iii) Structure.

(06 Marks)a. Explain briefly the Honing process with a neat sketch. State its advantages and

disadvantages. (10 Marks)b. Explain with a neat sketch the Lapping process. State its advantages and disadvantages.

(10 Marks)

a. With a neat sketch, explain the electrlc discharge machining. (08 Marks)b. With a schematic diagram, explain the ultrasonic machining process. (08 Marks)c. Differentiate between non-conventional machining process and conventional machining

processes. (04 Marks)