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- 1. N {{ {,t O6MAT41 USN Fourth Semester B.E. Degree Examination, Dec.2013 lJan.20l4 Engineering Mathematics - lV Time: 3 hrs. Max. Marks:100 Note: Answer FIVE full questions, selecting at least TWO questions from each part. ' " - a-'-----'-J- "-'- -----r-'-'- o (l (f 9. o o te &2 dv o0 I trco -A series method, find'y'at x:0.1 PART I a. Applying Taylor's by considering the series up to fourth .dv)^ = x + y' y(0) : l. (06 Marks) degree term. Give, , * dx b. Find yat x:0.2 using Runge Kuttafourthordermethod. Given 1'= Il:, y(0): I and y+x step size 0.2. , (07 Marks) c. Use Milne's predictor Gorrector formulae to find y(0.4). Given = ,,* + y), with t o7 x 0 0.1 0.3 1 t.1t69 1.2733 1.5049 v (Use corrector formula twice.) .= al 9il eO -! 2a. (07 Marks) /:2 rf {iz) in a regutar tunction or'z' show,h" [# a= o() b. 50c CB(! c. ,6 -? ii !o :9 o'v o_i aa (E Find the analyic function 3a. *6i 4lf'G)i = (06 Marks) . sin 2x u + iv where u = (07 Marks) w:2, "=--== (z-r)(z-2) i, -2. (07 Marks) State and prove eauchy's theorem under complex values functionp in Laurent's series valid for (i) lzl < integration. l, (ii) I .lrl (06 Marks) < 2.10t Marks) b. Expand f (z) c. Evaluate lr"o'=',dzwhere'c'islz-11:lusingCauchy'sresiduetheorem. (07Marks) IQ_D' 4a. r) Solve tr> U< f(z)l' Also find the invariant points of the transformation. *o =c6 o l cosh2v+cos2x' Find the bilinear transfo,rmation which maps the points z: l, i, -1 into the point !o 5.Y >'! uov c olJ o= flz): :2 .#) *4* *9+ dx' dx y = 0 using the method ofsolution in ser b. With usual notation prove that P",r, = U. Express a) x' - 3x' + x (x' - . (07 Marks) in terms of Legendre's polynomials. (07 Marks) ## 1)' (06 Marks) o z o 5 a. Fit a curve in the form y : a -t u* PART -B TFuy trr. method of least squares for the data given below: a x 1 1.5 2 2.5 J v 1.1 1.3 t.6 2 2.7 3.s 3.4 .l nf1 4 4.1 (06 Marks)
- 2. O6MAT41 5b. c. 6a. b. c. resslon for the data given below: Obtain the two lilnes o 1 2 J 4 5 x 2 5 J 8 7 v (07 Marks) and hence find the coefficient of correlation between x and y. given below: The contents of the three urns are as Urn 1: 1 white ball,2 red balls, 3 green balls. IJrn2:2 white, 1 red and 1 green ball. Urn 3: 4 white, 5 red and 3 green balls. Two balls are drawn from a randomly chosen urn and are found to the one white and one (07 Marks) green. Find the probability that the balls so drawn came from the third urn. (06 Marks) Find the mean and variance of Poisson distribution. In a certain town the duration of a shower is exponentially distributed with mean 5 minutes. What is the probability that a shower will last for (i) 10 minutes or more, (ii) less than 10 (07 Marks) minutes, (iii) between 10 and 12 minutes? follows a norrnal distribution with mean 70 The marks of 1000 students in an examination and standard deviation of 5. Find the expected number of students, whose marks will be: iii) between 65 and75 ii) more than75 i) less than : 0.3413]. (07 Marks) fGiven A(z 1) 65 : 7 a. b. c. 8 a. A coin is tossed 1000 times and head turned up 540 times. Test the hypothesis that the coin (06 Marks) is an unbiased one. A sample of 200 tyres is taken from a lot. The mean life of tyres is found to be 40000 kms with standard deviation of 3200 kms. I,s it reasonable to assume the mean life of tyres in the lot as 41000 kms? Also establish 95% confidence limits with in which the mean life of tyres (07 Marks) in the lot is expected to lie. Ten individuals are chosen at random from a population and the heights are found to the in inches 63, 63, 66, 67,68, 69, 70, 70, 7l and 7l In the light of this data discuss the suggestion that the mean height in the population is 66 inches. If the population mean is (07 Marks) unknown, obtain 90% confidence limits for this mean. The joint bability distribution for two random variables x and y is given below: Y x -J 2 4 1 0.1 0.2 0.2 J 0.3 0.1 0.1 Find the (i) marginal probability distributions of x and y, (ii) covariance of x and y. b. Find the unique fixed probability vector of the regular stochastic matrix (06 Marks) (07 Marks) c. A software engineer goes to his work place every day by motor bike or by car, he never goes by bike on two consecutive days, but if he goes by car on a day then he is equally likely to go by car or by bike on the next day. Find the transition matrix for the chain of the mode of transport. If car is used on the first day of a week find the probability that (i) bike is used, (ii) car is used on the 5th day. (07 Marks) rf8{<rr* 2 of2
- 3. MATDTP4Ol USN Fourth Semester B.E. Degree Examination, Dec.2013 /Jan.2O14 Advanced Mathematics - ll Time: 3 hrs. Note: Answer any rure; AnJwer uny, o (.) L a.,., b. (] L a c. rr r E luu quesru)ns. FIVEfull questions. Frgvethat sin2cr+sin'B+sin'y =2 (06Marks) If ,0r; mr, n1 and L2, m2, n2 arc direction cosines of two lines then plwe that the angle betwoen,,them is cos C) Max. Marks:100 0: L&z * mrmz * n1n2. ::, :::,,:: fy Find the,,equation of the plane throughthe interaction of the planos 2x+ x-2y-32=- 8, also perpendicularto the plane x +y-z:2. (07 Marks) 5 and (07Marks) o L ox 2 a. J. b. Jh -l o0' troo c. .=N (s+ go -.c() Prove that the equation of the plane in the intercept form is 'abc I *I Find the equation of the plane through the points (1, -2, 2) (-3. the plane 2^ - y - z-t 6 : 0. Find the angle between the following lines: , ,,,, +1 =7 l, . (06 Marks) -2) and perpendicular to (07 Marks) , x-2 = ,, t =r:3 and += l:1=+ 3122*1 (ozMarks) 0 3 a' Findthesineoftheanglebetween d...'. (06Marks) =21-2J+E and 6 =1-Zj+2k. b. Find the value of i if the vectors a =4i+6J+2[. 6=3i+lOJ+5[' and c =-4i+5J+i["",:,,:'::::::, a= o() do OE boc c. E(6 ^X oi o= 6,E, !o =9 >li coa o= *o 4 a. b. c. f,a. b. =o o. VL t< ..i 0 a. b. o o. , (34-26)x (4a + z6l (2a+ 36) x (a + 46) = 5(a + 6) = 14(a+6) (07 Marks) Aparticlernor.ralongthecurve i=(t'-4t)i+(t2+4t)J+(Sti-:t')[.finAthevelocity and acceleration at t : I and also find their magnitude. (06 Marks) Find the unit normal veclor to the surlace *y3J :4 at the point (- l. -1.2). (oz wtarts) Findthedirectionalderivative of x2yz3 at (1, 1, 1) inthedirectionof i+ j+Zi Marks) :: tr> il (07 Marks) (J oil 2 following: 1i) /6 --.; coplanar. Prove the i) -o -r3 'ia are c. d. Find divF and curlF, where F = x3i+ y'J+ z'k . Prove that curl grad Q : 0. Find the constants a,b, c such that the vectorF =(x* is irrotational. Find the Laplace transform of the following: sin 4t cos3t cos hat t e-t sin t 1-cost (06 Marks) (07 Marts) y+afli+(x+ cy+22)k+(bx+ 2y- r)j (07 Marks) cEwqn'$'$-.aa/ LISJFI+*'r' " (20 Marks)
- 4. MATDIP4OI Find the inverse Laplace transform of ,""(,tl) "[s-l/ a. s+1 .b. ..d (07 Mar.ks) 7 +2#2 ,, S " Pk." L. rl ^ -:- (06 Marks) -,,,,.=, (s+1)(s+2)(s-3) *ffi,ou'u" ,#"- !' d'v differential equation ___:+ sia 8a. By.".@lying Laplce transforms, solve ::: j. ...._., j;.! subjecteff,t+=-thc conditions y(0) . : y'(0) the :0. 1r. dt'" ........,,. .... -dv - - ,r 5": + 6y = )e-, dt H "l.,, (10 Marks) dx =sint. dv ,": =cost us ing Laplace transforms. i*, ;+x *t Given that x : l, y,.""J when t : 0. x: (10 Marks) ==;.] :::" l::: ,, _1_- Solve the simulppeous equations t{*ll *16*** ,a ::: ::: . iq,4 t* & {u ,tr dj .,", ..1" .....:::: .:::.. ::. t :3, ...,"ttt" "' '1il ,. .' .:. .. : ':::. ;;,.':, . Itut i& ",i j" '!h r,r's"r; qill$.. ::.:;:.. ,,- 1, --+,s rftq'e='':: ","'oq :::::: ':::, ">" P ;r1 " ,,"'tt"' tt' _ .=* = *"i-' ? , ,,. 'ffll;"' *; t ":""' .,,,1 _ii ... ..:r,h .,;:::'! .,-.. ::::...."rrit' 2 of2
- 5. lOME/AU42A USN Fourth Semester B.E. Degree Examination, Dec.2013 lJan.20l4 Material Science and Metallurgy .... ,r,,'*"'3 hrs' Max. Marks:{00 Note: Answer FIVEfull questions, selecting at least TWO questionsfrom each part. : ci o o PART _ A "" ",,,, E a. Define atoqric packing factor and calculate atomic radius and packing factor for FCC b. ,,,, .. . 9_t1r9ture. With neat sk#oties, explain the different types of point impef$'Ciions. State and explain the second Fick's law of diffi;sion. (! o 3e 6v 7r) *!l ,,, :',,..o,., o c. 2a. bo" coo .= c.l Draw the stress-strain curve for mild steel under tension and show the elastic region, plastic reglon. (05 Marks) b. i) Stiffness ii) Elastic strength iiit Resilience iv) Modulus of resilience v) Toughness. oXJ oJtr -c !) a2 ,r-'i-" 'ii ,,'..,;..';"' a: c. oO 50c (g6 3a. Marks) Marks) ,," Differentiate between slip and'tlvinning. With neat sketches, explain the stages of Ed moderately..,,,,4uctile load. a6 -o (08 Marks) (08 Marks) (04 Marks) b. !g c. is meant bry stress relaxation? Explain in briefly, Explain the various factors affecting fatigue. Yh?t action of (08 Marks) (05 Marks) (07 Marks) or= g; tro. 4a. b. c. oj o= 'a ti !o ^,= v, ^: cb0 o= 90 tr> =o o- r< -N o o z li o Define solid"solutions. Explain the types of solid solutions with neat sketches. (10 Marks) Explaiufhe factors governing the formation of substitutional solid solufipns. (05 Marks) t.-i Staib;te Gibb's phase rule and explain the terms. (05 Marks) . 5 t&; b. PART-B .. Draw and explain the Iron-Iron carbide equilibrium diagram and label all the poinls and fields. (10 Marks) Two metals A and B have their melting points at 600oC and 400'C respectively. These metals do not form any compound or inter mediate phase. The maximum solubility in each other is 4%o, whichremains the same until OoC, an eutectic reaction takes place between 650Z A and 35%B at 300oC. Determine the following: D Draw the phase diagram of A - B and label all the important points and fields. iD Find the temperature at which a 20o/o A, 80% B alloy starts and completes solidification. iii) Find the temperature at which the same alloy is composed of 50% liquid and 50%o solid. (I0 Marks) I of2
- 6. lOME/AU42A 6 a. b. c. Draw the T-T-T diagram for 0.8% C eutectoid steel and explain briefly. Define hardenability. Explain with a neat sketch the Foming-end-quench test. Explain with neat sketch the flame hardening process. '';.*;i' a. [rite.,,h:,*-r?s.ition, i) White cast iron. ' ' ".',',,,, ii) Malleable iron. ... iii) S.G. iron. .::l' ffi, of structure and their applications ,ri .,.,.i, '0]lJettow ct - ':": 'j (10 Marks) ,,,,,,,,,,,,, brasses following: ..' |l=;*Hhl brasses iii) l:, 'i' 1rir / b..., ,,.W.rite the composition and properties of the b'..,, .,.W.rite 8 a. b. c. (10 Marks) (05 Marks) (05 Marks) 'ffiltrVbrass. ,,,,'' e,,.= (10 Marks) u,%t.the classification of cffic{ritb materials. Define conffisite material and explain What are the adVantages and limitation of composite materiql? ' Write a brief notd on FRP ,..=, (10 Marks) (06 Marks) (04 Marks) -'l ""::,,!" *rf{<** t::. :i-..',..: i:... ;:," ,::: '*' "t ,,** t.-::.;J = .'' qs ... .... .:::4 ::..is,;fu /-! ::-:# ;! .i'' 'i(;j' ,;,' - *#:=. "i:,:' " ;: 2 ofT ,,,:,,,,,:,::v
- 7. lOME/AU43 USN Fourth Semester B.E. Degree Examination, Dec.2013 lJan.2014 Applied Thermodynamics Time: 3 hrs. Note: 1. Answer FIVEfull questions, selecting at least TWO questions from each part. 2. Use of steam and vapour tables is not permitted i.... d) o o a. 0) b. 0) 'of (.)X 6e ,, orr L troa a. .=N i:() otr -ca) o> o y] Defue,the terms: i) Stoichiometric ar; ii) Percent excess air; iii) Enthalpt of cN (10 iv) Enthalpy of formation; v) Adiabatic flame temperature. --_-_r-------_-' / "---------' J -'---'-'---'-'-' The volurnetric composition of dry flue gases obtained by the pombustion of an unknown hydrocarboin'is 1'2.7% COz,0.9o/o CO,3.9o/o Oz and 82.5% Nz. Determine: the fuel; Theoretical air required for complete combustion; D Composition (10 Marks) iii) Percentage of excess air ! -o :"$--S b. ii) required. 't',, " With the help of P-V ard T-S diagram, derive an e(iration for theoretical air standard efficiency of a semi diesel (dual) cycle in terms of compression ration, cut off ratio and (10 Marks) explosion ratio, with suitable'assumptions. In an air standard diesel cycle tho compression ratio is 15 and the fluid properties at the beginning of compression are 100 kPa and 300K. For a peak temperature of 1600K calculate i) the percentage of stroke at which cut-off occurs; ii) the cycle efficiency and iii) the work output/kg. ,10 Marks) ,, , 6: o(.) a. Describe the following as applied to I.C. engine: i) Morse test; ii) Heat balanc. rl"o.rt*u.ug 50i b. During a test on a single eylinder 4 stroke oil engine the following observations were made Bore : 30cm, stroke :,450m, duration of trail: th, total fuel consumption:7.6k9 calorific value of fuel : 45,000 kJ/kg, total revolutions made : 12000, mean effective pressure 6 bar, net brake load: 1.47 kN. Brake drum diameter 1.8m rope diameter 3cm. Mass of jacket cooling water circulated:550kg water enters at 15'C waiei',leaves at 60oC. Total air consumption 360kg room temperature 20"C, exhaust gas temperut$ : 300'C. Calculate: i) Indicated and brake power; ii) Indicated thermal efficiency; iii) Mechanical efficiency; (12 Marks) iv) Draw the heat balance sheet on minute basis. a6 !d oi3 a-A (,) -:' o= atE GF !o ^.= >qr -^o co0 o= *o tr> o- (r< :^ C) o z o a. Why carnot cycle is not used as a reference cycle for steam power plant? ,,,,::,' (03 Marks) b. Sk.,.h the flow diagram and corresponding T - S diagram of a reheat vapour cycle and .,,, ,,," 0. (07 Marks) derive an expression for reheat cycle efficiency. steam power plant working on Rankine cycle operates between boiler pressure of 4MPa and condenser pressure of 10 kPa. The steam leaves the boiler and enters the steam turbine at 400oC. The isentropic efficiency of steam turbine is 85%. Determine: i) The cycle efficiency; ii) The quality of exhaust steam from the turbine and iii) Steam flow rate in kg/hr considering pump work. (10 Marks) Properties oI steam. tes of stea oc Pressure volume Specific enthalpy kJ/kg Specific entropy Specific ts bar kYke K -'lkg hr So V1 h" Sf S. h,, lP A 40MW 40 0.1 2s0.3 45.83 0.00125 0.0010 0.049 14.67s t087.4 t7t2.9 2800.3 191.8 2392.9 2584.7 2.797 0.649 3.272 7.502 6.069 8.1s 1 : .
- 8. lOME/AU43 PART _ B 5a. b. v. 6a. b. State the advantages of multistage compression. (04 Marks) Derive the relation among volumetric efficiency, the pressure ratio and index of compression and expansion. Plot the variations of volumetric efficiency with clearance for (08 MarkS) various pressure ratio. into a single stage reciprocating compressor. It is Atmospheric air at 1 bar and 2l"C istakgl compressed according to the law PVl3 : C, to the delivery pressure of 6 bar. ifhe compressor takes lm' of airlmin. The speed of the compressor is 300 rpm. Stroke to diameter ratio is equal to 1.5:1 mechanical efficiency of the compressor 0.85 motor transmission efficiency 0.9 calculate: i)-' ,' The indicated power and isothermal efficiency. ii) ,, The cylinder dimensions and power of motor required to drive the eompressor. (08 Marks) , ,,,,,,, , Discuss witkthe help of T-S diagrams the three methods of ir4prqving the thermal efficiency '1,::t 'i:' ' (12 Marks) of an open cyile.gas turbine plant. : ::::, A gas turbine unit,,,,has apressure ratio 6:1 and maximugl:cycle temperature of 610oC. The isentropic efficiency of the compressor and turbine are 0.80 and 0.82 respectively. Calculate the power output in kilowatts of an electric genefrltor geared to the turbine when the air enters the compressor at 1,5,"C and rate of 16kg/s".":Assume Cr: 1.005 for Cp: 1.11 for (08 Marks) l.4 compression: expansion= r: n: 1.33. : a. b. (04 Marks) Write a short note on air cycle refrigeralion. jet refrigeration system. With the help of neat flow diagram explain the working of steam c. An ammonia vapour compreqg'ion,refrigeratipg machine works between 25"C and -20"C. The ammonia leaves the compressor in dry and saturated condition. Liquid ammonia is under cooled to 21.5'C befire passing through throttle valve. The average specific heat of liquid ammonia is 4.75 kJ/kg"C. Find the theoretical cop of machine. The lollowing properties of NH: are,given. If the net refrigeration required is 400 x 103 kJ/h. Find the (08 Nlarks) mass of ammonia circulated/min. lssull}g u( actual is 75o/o of cop theoretical: IIllIl. Assume cop UZ Temp oC 25 -20 8a, b: .. c. Liquid kJ/ks Vaoour kJlks K hrkJ/ke Sr hn So 4.612 1708.5 8.53*.' 537.6 328.4 3.854 r661.0 9.1 18 : ,,,' (08 Marks) Derive the equations for relative humidity and specific humidity of moist air. (04 Marks) With neat sketch explain the working of air conditioning system for hot and dry weather. Present the process involved on a psychrometric chart (06 Marks) Calculate: i) relative humidity; ii) humidity ratio; iii) dew point temperature; iv) density and v) Enthalpy of atmospheric air when the DBT is 35oC, WBT :23oC and the barometerr rt, reads 750mm Hg. (10 Marks) ,, 2 of2
- 9. IOME/AUIPIMITL44 USN Fourth Semester B.E. Degree Examination, Dec.2013 lJan.2ol4 Kinematics of Machines Time: 3 hrs. Max. Marks:100 Note: l. Answer FIVE .,,,,!. 2. Graphical solution may be obtained either on graph,..or on answer sheet. ..,,, {) o (.) L a. L p' full questions, selecting "' ,, PART _ A Define degrees of freedom. Find the degrees of freedom for the following mechanism showq,i,n.Fig.Q1 (a) ' as (10 Marks) C) = (,) L oX oo(n= o-;s69 -r) bol ioo .= c (!$ rOO YO oC -e() o> *,a oc) ootr (!(B 26 6r E(! J o.r =9 AX b. 2a. tro. oi| b. Define the following terms with examples: i) Kinemati" ii) Mechanism -') Structr*re pui.,,,, iv) Inversion ... t"*..,ii'. (10 Marks) ;,:t.:t .,... Describe wiftaeat sketch two inversion of double slider-crank chain mechanism. (10 Marks) Derive 4a'eipression for necessary condition of correct steeririg _explain Ackermann a= to aqq A four bar mechanism shown in Fig. Q3 crank BC rotates with 3 :(] 5.v tr> =o o: (r< ',.... ,,1 E "' -i 6i o o Z li o. of 100 radlsec and an angular acceleration of 4400 radlsec2 at the instant when the crank makes an angle 53o to the horizontal. Draw the acceleration polygon and determine the linear acceleration of points E and the angular acceleration of link 3. ,rO *u*"r, > (H t50 iu= so an angular velocity ,t--4100 u rillrc/- = F0 yad l.r.c Fig. Q3
- 10. IOME/AUIPIMITL44 4a. Write a note on Kennedy's theorem. (05 Marks) List the properties of instantaneous centre of rotation. (05 Marks) In a slider crank mechanism shown in Fig. Q4 (c) the crank OA : 300 mm and connecting rod AB : 1200 mm the crank OA is turned 30o from inner dead centre. Locate all the instantaneous centres. If the crank rotates at 15 radlsec clockwise, find i) velocity of slider B and ii) Angular velocity of connecting rod AB. (10 Marks) b. c. Fig. Qa (c) ttt,,, 5 a. b. i.t,.,..,,. PART - B berilre-an expression for displacementarralysis of a4bar mechanism using complex algebra methOd. (10 Marks) For a si@e slider mechanism, of Fig. Q5 (b) determine the velocity and acceleration of piston, angufar acceleration of connecting rod. Take crank length : 50 mm, connecting rod:200 mm, Crank speed: 300 rpm (constant), Crank angle 30o. (10 Marks) [, Fig. Qs (b) l)errve an equatron to determme'Ength oI are ot """ contact tor matrng of 2 spur gear. (08 Marks) Two gear wheel mesh externally and:.,are to give a velocity ratio of 3. The teeth are of involute form of module 6 mm and standard addendum one module. Pressure angle: 18o. Pinion rotates at 90 rpm. Find i) Number of teeth on each wheei so that interference is just avoided. ii) Length of path of contacl, . iii) Maximum velocity of sllding between teeth. iv) Number of pairs of teeth in contact. (12 Marks) la. b. Explain with neat sk*tih classification of gear trains. (06 Marks) In an epicyclic geai train, the internal wheels A, B and the cornpgund wheel C and D rotate independentl,y'about the axis 'O'. The wheel E and F rotate'CIh-a pin fixed to the arm G. E gear wi . ,A and C, and F gears with B and D. All the wheels have same pitch and the numbero,f teeth on E and F are 18, C and D are 28,26 respectively. i) Sketch the arrangement. ii) Number of teeth on A and B. iii) If arm (G) makes 200 rpm clockwise and gear A is fixed, find speed of gear: B iv) If arm (G) makes 100 rpm clockwise and gear A make 50 rpm CCW, find the speed of gear B. (14 iVlarks) A cam rotating at uniform speed of 300 rpm operates a reciprocating follower through a roller 1.5 cm diameter. The follower motion is defined as below: i) Outward during 150" with UARM. ii) Dwell for next 30o iii) Return during next 120o with SHM. iv) Remaining dwell period. Stroke of the follower is 3 cm. Minimum radius of cam is 3 cm. Draw the cam profile when the follower axis is offset to the left by 1 cm and determine maximum velocity and maximum acceleration during outstroke. (20 Marks) ,r*r,<** 2 of2
- 11. lOME/4U45 USN Fourth Semester B.E. Degree Examination, Dec.2013 lJan.2014 Manufacturing Process - ll Max. Marks:100 Time: 3 hrs. Note: Answer FIVE full questions, selecting at least TWO questions from each part. (.) (l o g () I a. b. c. PART _ A Explain with a neat sketch the nomenclature of a single point cutting tool, highlighting the (08 Marks) (08 Marks) significance of different angles. . . With necessary sketches, explain the types of Toolwear. Briefly de.sc:ibe the various types of chips produced during metal ng operations4 Marks) o 39 3 col ioa 2 a. b. c. ',.,,,, What are the desirable properties or characteristics of an idealciitting tool materiulfru *u.u.y (06 Marks) Briefly explain the desirable properties and purpose of cutting fluids. With a neat sketch, explain different heat affected zones during orthogonal cutting. (08 Marks) .:N tscr otr -O o> o2 a:; 3a. b. c. (06 Marks) Differentiate between turret lathe and capsten:lathe. Explain with the help of a neat sketclt, the Whitworth quick return mechanism of a shaper. (08 Marks) Compare shaper and planer in ter,mspf their operation, types of workpiece and applications. (06 Marks) , oO a. c0i b. 26 -?() or= oX o.. o .-r 6: to oL= ^.= Y' =* ^^o E OIJ o= 90 c. 5 a. l-,. Draw a neat diagram of a radial drilling machine. Name and explain the parts and its (07 Marks) principle of operation. Explain with sketches tkre lollowing operations in a drilling machine: (i) Reaming (ii) Boring (iii) Counter boring. (iVJ Trepanning. (07 Marks) (06 Marks) Describe twist drill nomenclature using sketches. pART-B ,il Differentiate between: (i) Up milling and down milling ..::: ,,,,,,,,,,,,,,,i,,,,,, ii) Simple indexing and compound,i+dexi58 Marks) b.Mithaneatsketch,exp1aintheworkingofanuniversa1dividinghead. c. Show the calculation for setting dividing head to mill 69 teeth (division) on a spur gear blank by compound indexing. Index plate with circles of holes patented by the Porous and =o UL (r< Plate No. 2 Plate No. 3 :0) o Z 6 a. ll o E b. 21,23,27,29,30, 33 37,39, 41,43, 47,49 06 Marks) With respect to grinding process, differentiate between: (i) Glazing and loading Dressing and truing of wheels (iii) Cylindrical grinding and centreless grinding. (12 Marks) Explain the different factors to be considered in the selection of a grinding wheel. (08 Marks) (ii) a -
- 12. lOME/AU45 7a. Sketch and explain the process of super finishing. What is Honing? Explain with sketch. List the operations and application of polishing and buffrng. b. "tll|r* ,:,'' ,::' I c' ,, ;;., (06 Marks) (06 Marks) (08 Marks),,, Explain briefly with a neat sketch the working principle of a electron beam mactiining (EBM) and what are its limitations. . : ,,.(t0 Marks) b. ,,"8,riefly describe the principle of electro-discharge machining (EDM) process with a sketch (10 Mark s) afld',,,what are its advantages and disadvantages. a. '. :::: ,,: 1n' :,t.4 '::'.,1.. " ':tt' '::' t ,,,,' 'i< * {< * {< *f :i .=.:'.. ::: l! frl*" .{1.y {- ,fu-, ,t'', =..... i ii ' t ,,"""'" ,,l1rl ".;...., : ',j-' "; .i,lr.,_. ,. :: ...::.. ' ' :. l:, ::: lt ...= "'""'t t '. ,:":::. 1i ........'t"l' t,. ;, li "t''i'"*'l' ,,, ::" "" 2 of2 .
- 13. lOME/AU46B USN Fourth Semester B.E. Degree Examination, Dec.2013 /Jan.20l4 Fluid Mechanics Time: 3 hrs. Max. Marks:100 Note: Answer FIVE full questions, selecting at lesst TWO questions from each part. d o o PART-A ! o. " ,. ..... a d a. (.) = () L Eq oo- Define following and mention their units: (i) 14ass. density (iv) Bulk.modulus (v) Capillarity (10 Marks) cd= b. Explain effect of variation of temperature on viscosity of liquid and gases. (04 Marks) c. A 15 cm diameter. vertical cylinder rotates concentrically inside another cylinder of =r' -t bo, trca l5.l0cm. Both cylinders are 25 cm high. The space between the cylinders is filled with a liquid whose viscosity ii unknown. If a torque of 12 N-m is required to rotate the inner cylinder at 100 rpm, determine,,the viscosity of the fluid. (06 Marks) .=& d$ k50 YO o< -O a'- B* a: L9 a. b. Define: (i) Gauge pressure (ii) Vacuum ppiior. (iii) Absolute pressure. (03 Marks) A hydraulic press has a ram of 30 cm diameter and a plunger of 5 cm diameter. Find the weight to be lifted by the hydraulip press. When the force applied at the plunger is 400 N. (03 Marks) oc) -! c. d. Derive an expression for total pressure and centre of pressure on an inclined plane surface submerged in liquid. (08 Marks) A pipe line which^ is 4 meter in diameter contains a gate valve. The pressure at the centre of pipe is 19.6 N/cm2. Ifihe pipe is filled with oil of spgr. 0.87, find the force exerted upon the gate and position of cbntre of pressure. (06 Marks) a. Define following terms: b0i -o >P ,6 €L= 'ia or: 6;!v ^: o.. oi d9 o= A,i. G: !o b. c. (i) Buoyaaoy (ii) Centre of buoyancy (iii) Meta centre lin|Msta centric height. (04 Marks) i,...,,!, ,,, Explain the condition for stability of submerged and floating bodies. A eone of specific gravity S, is floating in water with its apex do as a diameter 5.Y > (r b0o C OTJ 90 =(! tr> =o (Jt4 J< -i c.i o 2 L o o. 4a. {.dk*u.url stry b. Derive Euler's equation of motion. Also derive Bernoulli's equation. c. A pipe of diameter 400 mm carries water at a velocity of 25 m/sec. The pressures at the points A and B are given as 29.43 N/cmz and 22.563 N/cm2 respectively, while the datum head at A and B are 28 m and 30 m. Find the loss of head between I of2 A and B. ,z'110 Marks) (07 Marks)
- 14. lOME/ALT46B PART _ B 5A. Explain: (i) Geometric similarity (ii) Kinematic similarity model and protot)?e. "' , b. (iii) Dynamic similarity (06 Marks) A vertical venturimeter has an area ratio 5. It has a throat diameter of 10 cm. When oil of specific gravity 0.8 flows through it, the mercury in the differential gauge indicates a difference in height of 12 cm. Find the discharge through venturi. Take e 6 : 0.98. (06 Marks) c. The functional torque T of a disc of diameter D rotating at a speed N in a fluid of viscosity p and density p in a turbufent flow is given by T= Dsx,p4l=+= , ,LD'NP-] (08 Marks) I LIJ 6a. Derive Darcy Weisbach equation for flow tkough pipe. ,, , (08 Marks) b. What do you mean by hydraulic gradient line and total energy line? c. A horizontal pipe line 40 m long is connected to a watff tank at one end and discharges freely into the atmosphere at the other end. For fiist 25 m of its length from the tank, the pipe is 150 mm diameter and its diameter is suddenly enlarges to 300 mm. The height of (02 Marks) water level in tank is 8 m above the centie of pipe. Considering all losses of head which (10 Marks) occur, determine the rate of flow. TAke f : 0.01 for both sections of pipe. la. For a fluid flow through a pipe; show that maximum fluid velocity is twice the average (12 Marks) velocity. Also derive Hagen Poiseuille's equhtion b. 8a. Determine (i) pressure gradient (ii) the shear stress at the two horizontal parallel plates and (iii) the discharge per meter width for the laminar flow of oil with a maximum velocity of 2 m/sec between tWo horizontal parallel fixed plates which are 100 mm apart. p: 2.4525 N-s/m2. (08 Marks) Explain the terms: (i) Lift :(ii) DraS (iii) Displacement thickness (iv) Momentum thickness. (08 Marks) flow. b. Define the terms sonic flow, subsonic flow and supersonic c. A flat'plate 1.5m x 1.5m moves at 50 kmph in stationary air of density 1.15 kg/m3. If the coefficient of drag and lift are 0.15 and 0.75 respectively, determine (i) The lift force, (ii) The drag force, (iii) The resultant force, (iv) Power required to the plate in motion. (03 Marks) (09 Marks) ***>k* 2 of2

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