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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
-*'
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troo
.= C.I
!
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(J=
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ct=
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-c
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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- -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)
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 dv
x-
-+x+-+(k2x'-n')y
= 0 into Bessel forrn and write the
tix' dx
of 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 that
r | 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 will
solve it is 23. trf sushil and Rarn work independently, what is the probability that the
problem 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 year
and four from third year. Three studenis are to be removed at random. What is the chance
that (i) the fhree students belong to difTerent classes; (ii) two belong to the same class and
third 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 and
4 white, 5 red, 3 green balls. Two balls are drawn lrom an unl chosen at random. These are
found to be one white and one green. Find the probability that the balls so drawn came from
i) Find k
ii) 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. Assuming
that the heights are norrnally distributed, tind how many students heights i) lie between 120
and 155cm; ii) rnore than 155crn. [Given AQ.AT: 0.4808 and A (0.27): 0.1064, where
A(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. Can
the 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 for
9d.f:2.261.
The following table gives
days ofthe week" Find wh
accidents thatthe number
:ther the acc
of aircraft
idents are
occurred
ibuted ov
during
:r the v
(07 Marks)
the various
eek.wnerner rne accloenls are unllorrn str uleo over tne w
Days Sun Mon Tue Wed Thur Fri Sat Total
No. 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)
USN q I LO {
-9
( c lr.r I t ll
Fourth Semester B.E" f)egree Ex&xI?
Advanced ltllathem
Time: 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_),_, 2
10s352
Prol,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
5
a
Cd
()p
(.)
L
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=-:63u
=
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oi)
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ooc
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lr
a.
a.
b.
a.
b.
C.
3 -15 1 j 8 -:''
Find the e riuation of the plane containing the point
x+l _y-2 _z-rl
2 3 -l
2i-.i+k,Find the constant
if a - 2i+3j-4k
ll
l- -l
lax bi .
ti
Find the volume
vectors,
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.
6 a. Prove that L(sin ar)-
b. Find f-[sin t sin 2t
c. Find f,[ccs' tJ.
a
L-'
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 ( orr'
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
USN
a.
b.
5a.
b.
o
O
C)
q
o.
d
a(g
0)
C)
tr
Eg
|=
-v.
(gu
=nio ti
eoo
.5 or
cg$
gil
(t)C,.o)
E9
8e
(rx
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6J 63
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ls=
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-z- ts
5iJa-
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o;
?.=
6:
A LZ,
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=in()
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-
c'i
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li
E
Fourth Sernester B.E. Degree
fflaterial 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 with
Lattice 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 and
4.0 x 10-i6m2/S at 8000C. Calculate the activation energy in.troules per mole for diffusion of
iron 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 plastic
region. (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 on
Griffith'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 explain
its 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.8
What 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 tin
and 38o/o lead, at 1830C. At Eutectic temperature, maximum solubility of tin in lead is l9o/o
and lead in tin is 3?'0. Assume their solici solu'rrilities at 00C is 0%, Iiquidus solidus and
solvus lines to be straight. Draw pirase diagram to scale indicating all phase fields ancl
explain the solidification of 30% tin'and 70% lead alloy. (08 Marks)
c. Draw Iron - Cementite phase diagram showing all Phase fields, Critical temperature and
Invariant reactions. (og Marks)
1 of )
With neat sketches, explain the follcwing
a. 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 mould
processes. (06 Marks)
o. With a neat sketch, explain the production of MMC's by Stir casting technique. (08 Marks)
.l-.L&&&
2 of 2
USN IOME/AU43
Fourth Semester B.E" Degree Examination, 24rc
Time: 3 hrs.
Applied Thermodynanxics
Note: 1. Answer FIYE full questions, selecting
st least TWO questions.from esch part.
2. Use of Thermodynamics Data llond book perwitted.
PART _ A
Define the following :
i) Adiabatic flame temperature ii) Stochiometric air iii) Excess air
iv) Enthalpy of formation v) Enthalpy of combustion. (I0 Marks)
b. Methane (CH+) is burned with atmospheric air. The analysis of the products of combustion
on 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)
(.)
(-)
(€
li
o.
(3
E
a
C)
C)
ti
A .
()X
i=
*=
(!!J
E-,
oo ll
coo
.= c
d$
Etr(I)tr
-c c)
8e
a=
(J()
6U
o!
c0c(sc0
>e
-(tt
!s=
!(d
.>ts
5ija-
40)s. Q-
tro.
0();
?.Y
OE5(Jraq=
t6)
? 'r:
dr,o
tr- o0
a)=
o- :X
XG,
o
(., <
* C..l
C)
zp
L
o.
a.
equation.
a. Explain the method of findings friction power using
i) 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 of
the fuel supply at 0.082 kg/min. BP with all the 4 - cylinders working: 15.24kW. B.P with
cylinder No.1 cutoff : 10.45kW, BP with cylinder
No.2 cutoff : 10.33 kW, BP with cylinder
No.3 cutoff : 10.23kW, BP with cylinder
No.4 cutoff : 10.45kW.
Determine :
i) The indicated power
ii) 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 the
beginning of compression are 100KPa and27". The compression ratio is 18. The heat added
per kg of air is 1850kJ. Determine maximum pressure, Maximum temperature, thermal
efficiency, network done and mean effective pressure of the cycle. Assume y : 1.4 and
cp : 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 of
4MPa and condenser pressure of lOKPa. The steam leaves the boiler and enters the turbine
at 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)
PART -.E
a. Derive expression for the intermediate pressure which gives minimum
compressor with perfbct inter cooling.
b. A single cylinder, double acting air compressor is required to deliver
mean 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 same
ii) 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 :1.25
D
Write the uses of cornpressed air.
Derive an expression for optimum pressure ratio which gives maximum specific
in gas turbine considering machine efliciency.
Explain the lvorking of a raqjet engine with the help of a sketch. What are its
disadvantages and applications?
c. Explain with neat sketch any one method to improve thermal
cycle.
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 to
6.5bar. The index of compression is 1.25. The compressed air is cooled to a temperature
which is 10'C above the ambient temperature of 30'C before being expanded isentropically
in an expander. Neglecting the clearance volume of compressor and expander. Fin<i the COP
and 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 :
#l
lRo' -ll
LJ
Where Rp: pressure ratio
C,
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 cooling
ii) Cooling and dehumidification
iii) Adiabatic mixing of two streams
iv) Heating and humidifrcation.
* {< * ,< *
2 of 2
(06 Marks)
eili"sr m,tl'.-
lrtr.mnmv
USN
Fourth Semester B.E. f)egree Examinatior, June/Juty 2016
Kinematics of Machines
Tirne: 3 hrs.
Note: Answer FIVE full questions, selecting
at least TWO questions.from each part.
PART _ A
Define the following:
i) Kinematic chain
ii) Mechanism
iii) Structure
iv) Inversion
v) 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.
(.)
(.)
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a(B
c)
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ss=
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bs(ha
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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 and
acceleration of point'P'midway between B and C, when the angle BAD: i35o and AB
rotates clock wise at a speed of 300rpm with an angular acceleration of 20 radlsec2 in CCW
direction. (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 the
crank is inclined at 30o with inner dead centre. The centre of gravity of the connecting rod is
400mm away from the crank end. By Klein's construction determine: i) Velocity and
acceleration of piston; ii) Angular velocity and angular acceleration of connecting rod and
iii) Velocity and acceleration at the centre of gravity of the connecting rod. (15 Marks)
PART _ B
In 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 minimum
number of teeth and the velocity ratio to avoid interference. (0g Marks)
I 1
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 different
toothed 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 is
100Nm. 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 the
follower for l20o with SHM follorved by a dwell period of 30o. Then the follower lowers
down during 150o of the cam rotation with uniform acceleration and deceleration followed
by a dwell period. lf the cam rotates at a uniform speed of l50rpm. Calculate the maximum
velocity and acceleration of the follower. during descent period. (20 Marks)
(15 Marks)
*****
2 of 2
USN
Fourth Semester B.E. Degree
Time: 3 hrs. Max. Marks:100
PART _ A
a. 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 N
Determine :
* 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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Note: 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 - B
a. 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)

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Grade Three -ELLNA-REVIEWER-ENGLISH.pptx
 

Laplace transform techniques for solving DE

  • 1. )y $,^ rvttr USN Time: 3 hrs. 21-i,-2+i. b. Find the bilinear transformation which maps I, i, - | to Z, i, -2 fixed points of the transfonrration. c. Discuss the confonnal trans[ornration of w == 'r,t. i ol-2 lSMAT4T (06 Marks) respectively. Also find the (07 NIarks) (07 u'larks) C. O o () !v .h () t .JX -*' d q,) 'o,oo" troo .= C.I ! o Ylj (J= Ec) /11 .n u, -d ct= ij c) cog(l.i -c >!ad =9 ad ic) oj Av) Li '-r 9 'id a: <-= 5.v ooo I a.D r* C) E2Yl- r< .- c.i o '7 f o- a. b. Fourth Semester B.E. Degree Examination, June/Julv 2016 Englneerimg Mathefr?laties - IV Using Adams-Bashfbrth n:ethocl, obtain the y(0) : 0, y(A.2): 0.0200, y(0.4) .= 0.0795, twice. Max. Marks:i00 Note: l" Answer {nru}) FlV'E fiall guesti$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- -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)
  • 2. 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 dv x- -+x+-+(k2x'-n')y = 0 into Bessel forrn and write the tix' dx of 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 that r | 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 will solve it is 23. trf sushil and Rarn work independently, what is the probability that the problem 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 year and four from third year. Three studenis are to be removed at random. What is the chance that (i) the fhree students belong to difTerent classes; (ii) two belong to the same class and third 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 and 4 white, 5 red, 3 green balls. Two balls are drawn lrom an unl chosen at random. These are found to be one white and one green. Find the probability that the balls so drawn came from i) Find k ii) 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. Assuming that the heights are norrnally distributed, tind how many students heights i) lie between 120 and 155cm; ii) rnore than 155crn. [Given AQ.AT: 0.4808 and A (0.27): 0.1064, where A(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. Can the 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 for 9d.f:2.261. The following table gives days ofthe week" Find wh accidents thatthe number :ther the acc of aircraft idents are occurred ibuted ov during :r the v (07 Marks) the various eek.wnerner rne accloenls are unllorrn str uleo over tne w Days Sun Mon Tue Wed Thur Fri Sat Total No. 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)
  • 3. USN q I LO { -9 ( c lr.r I t ll Fourth Semester B.E" f)egree Ex&xI? Advanced ltllathem Time: 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_),_, 2 10s352 Prol,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 ${arks} utrv ; c) o :r 5 a Cd ()p (.) L C)X 4 -;-J? =-:63u = lr, ^^ll i.c .= a'l c.) :3 ()=d0) oi) l- ooc -0J 5irar o-F treorv 0(); L- (J 6.e>'+- ^^cu4 :c5i- dJ () o< _N 0) Z lr a. a. b. a. b. C. 3 -15 1 j 8 -:'' Find the e riuation of the plane containing the point x+l _y-2 _z-rl 2 3 -l 2i-.i+k,Find the constant if a - 2i+3j-4k ll l- -l lax bi . ti Find the volume vectors, Find the velocity and acceleration of -+ r = e-''i + 2cos5d+ 5sin 2tk at any tir-rre 't'. Find the directional derivative cf x' "rz' at ( I , 1,, a' so that the vectors i + Zi- 3[ antl 3i + a.]+ Sk are co-uianar. {07 iVfl:rrks} )^-+Lz anci b=8i-4i+k thettpl'ovethat a isperpendicuiarto b anctralsofind (07 h{ari<s} of tlre parallelopiped whose co-terminal eCge's are rep;:csented biz tile a. a particle moves (06 Marksi along the curve (CI7 Marks; !) in the clirection of i + j + 2k . (07 &{arks}b. c. q b. Find the divergence of the ve ctcr F : ( xyz + ,trli+ (:^' -+^_)_) F - (x +y+ l)i +j-(x +y)k. sirow rhar F.curlF - 0. Sirow that the vector field, r - 1:* -r3y +az)i+(x- 2y + -zz)j+(3x + 2y-z)k is Find the constants z,b, c such that the vector fleld, --+ ' )i + (* + cy + Zz)j+ (Ux + 2y - ,)k is irrotarional.F-(x+y+ez + yt, [ + (xz2 - ytz)k . (06 hf ar.ks) (07 Marks) solenoidal" (G7 Marks) (06 Marks) C.
  • 4. 6 a. Prove that L(sin ar)- b. Find f-[sin t sin 2t c. Find f,[ccs' tJ. a L-' s- +a- sin 3tl. MATDIP4Ol (07 Marks) (07 Marks) (06 Marks) (S7 Marks) (07 Marks) (06 Marks) .8 a. b. C. a. b. Find the inverse Laplace transfo T ( orr' Findf'l logl t* ,li L s )) Find L-,[ . t*2 l. Is--4s+13] Soive the differential equatlon, Lapiace transform techniques. Soive the differential equation, techniques. nn of (s+1)(s+2)(s+3) y'' + 2y _'.* y = 6te-' uncier the conditions ,r" -3y' +2y - Q y(0) = 0, y'(0) = i by Y(0) = 0 Laplace = y'(0) by (10 Marks) transform (10 Marks) **x** 2 ot2
  • 5. USN a. b. 5a. b. o O C) q o. d a(g 0) C) tr Eg |= -v. (gu =nio ti eoo .5 or cg$ 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-() ?-(, > (F coocca ()= =cS =s) =in() (-, < - c'i o z li E Fourth Sernester B.E. Degree fflaterial 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 with Lattice 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 and 4.0 x 10-i6m2/S at 8000C. Calculate the activation energy in.troules per mole for diffusion of iron 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 plastic region. (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 on Griffith'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 explain its 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.8 What 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 tin and 38o/o lead, at 1830C. At Eutectic temperature, maximum solubility of tin in lead is l9o/o and lead in tin is 3?'0. Assume their solici solu'rrilities at 00C is 0%, Iiquidus solidus and solvus lines to be straight. Draw pirase diagram to scale indicating all phase fields ancl explain the solidification of 30% tin'and 70% lead alloy. (08 Marks) c. Draw Iron - Cementite phase diagram showing all Phase fields, Critical temperature and Invariant reactions. (og Marks) 1 of )
  • 6. With neat sketches, explain the follcwing a. 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 mould processes. (06 Marks) o. With a neat sketch, explain the production of MMC's by Stir casting technique. (08 Marks) .l-.L&&& 2 of 2
  • 7. USN IOME/AU43 Fourth Semester B.E" Degree Examination, 24rc Time: 3 hrs. Applied Thermodynanxics Note: 1. Answer FIYE full questions, selecting st least TWO questions.from esch part. 2. Use of Thermodynamics Data llond book perwitted. PART _ A Define the following : i) Adiabatic flame temperature ii) Stochiometric air iii) Excess air iv) Enthalpy of formation v) Enthalpy of combustion. (I0 Marks) b. Methane (CH+) is burned with atmospheric air. The analysis of the products of combustion on 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) (.) (-) (€ li o. (3 E a C) C) ti A . ()X i= *= (!!J E-, oo ll coo .= c d$ Etr(I)tr -c c) 8e a= (J() 6U o! c0c(sc0 >e -(tt !s= !(d .>ts 5ija- 40)s. Q- tro. 0(); ?.Y OE5(Jraq= t6) ? 'r: dr,o tr- o0 a)= o- :X XG, o (., < * C..l C) zp L o. a. equation. a. Explain the method of findings friction power using i) 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 of the fuel supply at 0.082 kg/min. BP with all the 4 - cylinders working: 15.24kW. B.P with cylinder No.1 cutoff : 10.45kW, BP with cylinder No.2 cutoff : 10.33 kW, BP with cylinder No.3 cutoff : 10.23kW, BP with cylinder No.4 cutoff : 10.45kW. Determine : i) The indicated power ii) 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 the beginning of compression are 100KPa and27". The compression ratio is 18. The heat added per kg of air is 1850kJ. Determine maximum pressure, Maximum temperature, thermal efficiency, network done and mean effective pressure of the cycle. Assume y : 1.4 and cp : 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 of 4MPa and condenser pressure of lOKPa. The steam leaves the boiler and enters the turbine at 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)
  • 8. PART -.E a. Derive expression for the intermediate pressure which gives minimum compressor with perfbct inter cooling. b. A single cylinder, double acting air compressor is required to deliver mean 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 same ii) 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 :1.25 D Write the uses of cornpressed air. Derive an expression for optimum pressure ratio which gives maximum specific in gas turbine considering machine efliciency. Explain the lvorking of a raqjet engine with the help of a sketch. What are its disadvantages and applications? c. Explain with neat sketch any one method to improve thermal cycle. 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 to 6.5bar. The index of compression is 1.25. The compressed air is cooled to a temperature which is 10'C above the ambient temperature of 30'C before being expanded isentropically in an expander. Neglecting the clearance volume of compressor and expander. Fin<i the COP and 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 : #l lRo' -ll LJ Where Rp: pressure ratio C, 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 cooling ii) Cooling and dehumidification iii) Adiabatic mixing of two streams iv) Heating and humidifrcation. * {< * ,< * 2 of 2 (06 Marks)
  • 9. eili"sr m,tl'.- lrtr.mnmv USN Fourth Semester B.E. f)egree Examinatior, June/Juty 2016 Kinematics of Machines Tirne: 3 hrs. Note: Answer FIVE full questions, selecting at least TWO questions.from each part. PART _ A Define the following: i) Kinematic chain ii) Mechanism iii) Structure iv) Inversion v) 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. (.) (.) o li o, a(B c) C$ () ti oX Gl= o.;- J, (B IJ -oo ll gca .=N(o$ Etr G)C -C(') Ee a>I oc) (€o 50i .86 o>€'? cs ss= !(g -)5r c) bs(ha d-g trE5cd0(); "h,J c): 3(J'r, rE a;! 0,) 6.e ^^Odoo (.)= :+9 ^d) qJ< _N (.) p z P li 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 and acceleration of point'P'midway between B and C, when the angle BAD: i35o and AB rotates clock wise at a speed of 300rpm with an angular acceleration of 20 radlsec2 in CCW direction. (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 the crank is inclined at 30o with inner dead centre. The centre of gravity of the connecting rod is 400mm away from the crank end. By Klein's construction determine: i) Velocity and acceleration of piston; ii) Angular velocity and angular acceleration of connecting rod and iii) Velocity and acceleration at the centre of gravity of the connecting rod. (15 Marks) PART _ B In 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 minimum number of teeth and the velocity ratio to avoid interference. (0g Marks) I 1
  • 10. 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 different toothed 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 is 100Nm. 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 the follower for l20o with SHM follorved by a dwell period of 30o. Then the follower lowers down during 150o of the cam rotation with uniform acceleration and deceleration followed by a dwell period. lf the cam rotates at a uniform speed of l50rpm. Calculate the maximum velocity and acceleration of the follower. during descent period. (20 Marks) (15 Marks) ***** 2 of 2
  • 11. USN Fourth Semester B.E. Degree Time: 3 hrs. Max. Marks:100 PART _ A a. 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 N Determine : * 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) o .9 o dtr o. Cd a (.) 6 C) 3r .9 8Pbo# rn ;J ;B Eo =rn-oo ll ioo .=&ds yc) oJa €g En UH ()(1) (BO OE o0c .s c0 vo >qa(s tr= !(€ r) -a' 0) 'Co a- /9 tro" 6cd d): 3(Jta tr= !o) Bs>r q- boo -- bo O= E,E ^G,(J o< * (l G) o z (€ 9 t- o, Manufacturing Process - ll Note: 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 - B a. 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)