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Atom Bomb

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Rs ject Ci Aper / Subject Code: SE9307 / Machanies of Solids *e of Babe E9307 Total No. of Printed Pages:04 S.E - (Mechanical) (Sem-IL}) (Revised Course 2019-2020) EXAMINATION JUNE 2023 of Solids [Time: 03:00 Hours} [Max. Marks:100] Tost i i structions: 1) Attempt 2 questions each form Part A and Part B, 1 question form Part Cc 2) Assume missing data if any. PART-A QL Answer the following: (10+10) a) Three bars made of copper, zinc and aluminium are of equal length and have cross~ section 500, 750 and 1000 mm? respectively. They ate rigidly connected at their ends. If this compound member is subjected to a/longitudinal pull of 250KN, estimate the proportion of the load carried on each rod and the induced stresses. Take the values of elastic modulus for copper as 130GPa, for zinc as 100GPa and aluminium as 80GPa. Copper ne uri = up of Aluminium and steel is held between 2 supports. The b)~. A composite bar made 8°C. What will be the stresses in the two bars when the Jars are stress free at 3 smperature is 21°C, if e supports are unyielding ii) The supports come nearer to each other by 0.1mm? Tt cai be assumed that the change of temperature is unifoi J ofthe bar. Sake E for steel as 200GPa, E for Aluminium as 75GPa, coefficient of expansion forsteel as 11.7 x 10°°7°C and coefficient of expansion for Aluminium as 23-4 x 108°C ie ‘vu Steel bar = 2 Ag = 1000 rare fT rm all along the length Paper / Subject Code: SE9307 / Machanies of Solids Z SE9307 (ODN Atiempethe following: (10410) a) A 60° strain rosette measure the following strains at a point on the surface of steel structural member. & = 300 x 10-6, z¢9 = —400 X 10°S,é129 = 100 x 1076, Determine: i) Principal strains and maximum shear strain at the point. Magnitude of principal stresses given E = 200GPa and = 0.3 b) The shear force acting on a beamat an I section with unequal flanges is SOKN. The moment of inertia of the section about N.A is 2.849 x 10*mm‘*. Calculate the shear stress at the N.A and plot the shear stress distribution over the depth of the section. Q3 Answer the following: (20+10) a) For the beam loaded as shown below, find the slope and deflection at point A, B and also find the maximum deflection. Take/E = 200GPa and J-= 9.25 x 107. mm*. oN resin * © 8 a 4 et b) A beam of rectangular section, 200mm x 400mm carries a UDL of 30kN/m over the full span, Find the maximum bending stresses at mid span and at quarter span points {730 KNim (eee Se Paper / Subject Code: $9397 sof S cet Coile: SE9307 / MaRhanies o sof Sol .nswer the following: FARE-B a) b) ‘Two shafis of the same If the first shaft is solid cen S84 same length are subjected to the same torque sea sl stati solid citeular section and the szond staf is hollow ecalat aire aoe 8 0.67 times the outside diameter and the ite »ped in each shaft is the same, compare the weigh's Al: Sm long column has a citcular cross section of 50mm diameter. One end of the column is fixed in direction and posit position and the other end is free. a factor of safety of 3, calculate the safe load using. ae i) Rankine's formula: Take 0, = 560N/mm? ) 5 = and & = 1/1600 ii) Euler's formula: E = 120GPa. ‘ Answer the following: a) ‘A composite shaft consists of a steel rod 60mm diameter surrounded by a closely fitting tube of brass. Find the outside diameter of the tube so that when a torque of 1000Nm is applied, it will be shared equally by the 2 materials. Find also max shear stress in each material & common angle of twist in a length of 4m. Take G for steel 8.4 x 10% N/mm? and G for brass = 4.2 10* N/mm’. b) _ Atasection of a mld steel shaft, the maximum torque is 8437.5Nm and maxims bending moment is 5062.5Nm. The diameter of shafiis 00mm and the S00ss 5! the elactic Himit in simple tension for the materia-of the shaft is 220N/mm?. Determine whether failure ofthe material will occur or not aocoding to maximum shear stress theory. Ifnot then find the factor of safety. Answer the following: a) State and derive Castighano's fist theorem. by Determine the ratio of the buckling strengths of columns of circular cross section id when both are made of the same material have same eageae seatival a8 vind end condition. The internal diameter of the hollow rertemn is bait ofits external diameter. (10+10) (10+10) (10+10) Papers cs of Solids Paper / Subject Code: SE9307 / Machanies of Sol Y SE9307 otal No, of Printed Page SE. PART-C if ‘etal ited v it is having a cross sectic = a ‘Sin appre ean ad asso lo Pena orn (0410) scion, Calculate shear stessx atthe salient points ofthe seston and also section. Instructions: | a) State the Se! and (i) >) A metallic bar 300mm x 120mm x 5Omm is loaded as shown. Find the change in vee Volume. Take E = 200GPa and Poisson's ratic = 0.3. @ 9 Agasu eae @ ae com and (@) Sketch QB" Answer the followin: (1010) (b) Comp! a) _A hollow shaft is to transmit 300kW power at 80rpm. If shear stress is not to ‘exceed 60N/mm? and internal diameter is 0.6 of the external diameter, find the extemal and internal diameters assuming that the maximum torque is 1.4 times the — mean: b) State and prove Maxwell-Betti reciprocal theorsm. 9 22 P el. ‘per / Subject Code: SE9308 / Engineering Thermodynamics tater Conoe o 7 . # Bonovteao Colleg ons ‘SE9308 No. of Printed Pages: 3 SHE (Mechanical) (Sem-IM1) (Revised Course 2019-2020) oe EXAMINATION JULY 2023 Engineering Thermodynamics {Time:3 Hours} [Max. Marks:100] Instructions: 1, Answer five questions in all selecting at least two questions from each PART A and B one question from PART C. 2. Use of tables and charts is permitted. 3. Assume missing data, if at all any, with proper justification. Part-A QI a) State the first law of thermodynamics for a closed system undergoing (i) cycle 3 s and (ii) process. b) Write the Steady Flow Energy Equation and appiy it to 8 @ Turbine (ii) Compressor (iii) Nozzle (iv) Valve Je consisting of the following process: 9 ©) A gas undergoes a thermodynamic eye (@ Process 1-2: Constant Pressure = 1.4 bar, ¥, = 0.0203, Wa = 10.5 4)- Gi) Process 2-3: Compression with PV = constant, Us = Us. (lil) Process 3-1 constant volume, U, —U; = —26.4 kj. Neglecting the changes in potential and kinetic energy. (@) Sketch the eycle on a p-V diagram (b) Complete the table given below: s Process Heat Work ‘Change in ‘Transfer | ‘Transfer | Energy, AU QU) wo) | _ dks) 105 = 264 (© Caleulate the network for the eycle and show that =Q = =W: tanck and Clausius statements of the second law of 7 2 a) State Kelvin-PI Prove that both the statements are equivalent. thermodynamics. by Explain Camot eyele with neat p-v and T-s diagrams. a AF8SE74DC4939E84AF5AD90FA4EB2326 @ a Qe 06 °) a) S » °) b ) b) Paper / Subject Code: $E9308 / Engineering Thermodynamics SE93Qq ‘A domestic food reiigerator maintains a temperature of -12°C. Theambient air te °C. It heat leaks into the freezer atthe continuous rate of 2kW, Det heat out continuously. nperature is 35 ‘ rine the least power necessary to pump th and prove the Camot theorems. (Carnot principles). 7 Explain any three reasons for irreversibilities in a system? 4 A turbine operates under steady flow conditions, receiving steam atthe following ¢ state: Pressure 1,2 MPa, temperature 188 °C, enthalpy 2785 kI/kg, velocity 33.3, m/sand elevation 3 m. The steam leaves the turbine atthe following state: Pressure 20 kPa, enthalpy 2512 kiikg, velocity 100 mis, and elevation 0 m. Heat is lost to the surroundings at the rate of 0.29 kiis. If the rate of steam flow through the turbine is 0.42 kgs, what i the power output ofthe turbine in kW? Part -B Write expressions for the change in specific entropy of a closed system g undergoing a (j) constant volume process (ji) constant pressure process (ji) isothermal process (iv) polytropic process. Explain all the terms of the expressions, Define dryness fraction of steam. Explain how steam quality can be measured 6 using a neat diagram. ‘An iron cube at a temperature of 400 °C is dropped into an insulated bath 6 containing 10 kg water at 25 °C. The water finally reaches a temperature of 50°C at steady state, The specific heat of water is 4186 J/kgK.. Find the entropy changes for the iron cube and water. Comment if the process is reversible. Discuss with neat pv diagrams, (i) Otto cycle (ii) Diesel cycle, ‘ Compare and discuss Carnot cycle with Rankine cycle using T-s diagram. 4 Steam at 30 bar pressure and 500 °C enters a turbine, which expands, to 3 10 condenser pressure of 0.1 bar If the isentropic efficiency of turbine is 85% and Pump losses are neglected, calculate the cycle efficiency. Explain compression ratio, expansion ratio and cut off ratio of a diesel cycle. Write expression foreach, Explain with neat diagrams any two methods of: ‘improving the thermal efficiency ofa Brayton Cycle, APSSEMDC4939E84A FSAD9OEAGEB2326 4 as Q es Paper / Subject Code: SE9308 / Engineering Thermodynamics E9308 ©) Carbon dioxide at 1 bar and 20 °C is isothermally and reversibly compressed to a & pressure of 5 bar. If the initial volume of the gas was 0.05 m’, calculate the caange in the entropy and comment. Part-C a) Derive the steady flow energy equation (SFEE) for a single stream of fluid 10 entering and leaving a control volume. b) For steam at 20 bar and dryness fraction of 0.85, find (i) specific volume (ii) 4 specific entropy (iii) specific enthalpy (iv) specific internal energy. ©) Define specific heat at constant volume and specific heat at constant pressure. 6 Derive the relationship between specific heats and heat transfer. a) Explain with neat block diagram and T-s diagrams (Simple Rankine eycle (ii) Rankine cycle with regeneration (ii) Rankine cycle with reheat b) Prove that energy is a property of system. ©) Explain the following terms ~ () Saturation temperature (ii) Sensible Heat (iii) Latent Heat (iv) Superheat (v) Triple point (vi) Critical point. 5 10 Paper / Subject Code: SE9306 / Mathematics IIL Ondee Conve VERMA + Go Aue EXAMINATION JUNE 2023 Mathematies I (Max. Marks:100) Instructions:1) Answer five questions, any two each from Part-A and Part-B and one from Part C. 2) Assume suitable data if necessary. Part-A QI a) Find the inverse Laplace transform of © nade i) (*-1)6749) 5 o b) Find the values of a and b for which the system of equations given below are consistent. When will this system of equations have unique solution? x+ay+z= 3; x42y+2z=b; x+Sy+3z =9. ©) Solve the ordinary differential equation given below, using Laplace transforms @) 29 _ y= se? Se itt) mate. y@)=2, y/@=0 2 a) Find the eigen values and eigen veetor of the matrix, 8) 1 [: 4 | 3 1 2 }) State and prove convolution theorem for Laplace transforms. Use convolution © ttieorem to find the inverse Laplace transform offs a © ©) Using Laplace transform, evaluate J,” —=——at apltic-i+i © Q3 4) Define unitary matrix. Show that + ee aa | unitary. by IFL{AE)) = FO), where Ll) denotes the Laplace transform of (0), prove the o following : ¥ NLD) = FE=A DL =a, (F@)) (8) re eet «) State and prove Cayley Hamilton theorem. Verify it for the matrix Ig al BCIDAGOBC84614AEC1660C4298308628 Paper / Subject Code: E9306 / Mathematics m £9306 Part-B 2 QA) Atandom variable X has probability density function flx)-ko°, elsewhere. Find i) the value of k ii) PILA insulated rod of length 20 cms has its ends A and maintained at 40°C and go°c ®) respectively, until steady state conditions prevail. Ifthe temperature at A is suddenly raised to 50°C and that of B reduced to 60°C. Find the temperature ata distance x from one end at any time t, (Assume the general solution of heat equation) ne ©) Ina certain city the power break downs pet week is random variable having © normal distribution with mean p =10.2 and standard deviation o =3.1. Find the probability that there will be at least 8 breakdowns in one week.( Area under the standard normal curve from z = 0 to z = (.71 is 0.261 i) Part-C Q7 a) Find the half range Fourier sine series for f(x) = 3x — 2 in (0, 2). © Ee bee 2 (8) ‘or the matrix A = |2 a ee “| find nor-singular matrices P and Q such that PAQ is in normal form. Hence find the rank of A. °) Qs a) Paper / Subject Code: $E9306 / Mathematics III SE9306 An electrical company buys Capacitors from three manufactures A, Band C. The (6) probability of buying a Capacitor from these manufactures are 0.3, 0.33 and 0.37 respectively. Further, the probability that the Capacitor made by these manufactures functions properly during a specified period are 0.82, 0.9 and 0.84 respectively: Determine the probability that a capacitor randomly chosen from the lot will function for a specified time, } If f(t) is a periodic function having period p, then prove that @) 17? Lf) =7=ee | es reoe Find the Laplace transform of f(t) = 2t+3 w petciitt+1) = FO 6 {A pair of six-faced dice is rolled thrice. Find the probability thatthe sum ofthe o outcomes in each roll equals 4 in’exactly two of the three attempIs. nd Define linearly dependent vectors. Test whether the vectors (1,2,-1,3),22. ve and (4,6,3,3) are linearly dependent or not. Tf dependent, then find relation between them. aC 1660C4298308628 otal No. of Printed Pages:2 o7/7)2 ngineering Materials Science And Metallurgy paper / Subject Code: SE9309 / Padre Cone 0 of Bats $E9309 S.E - (Mechanical) (§ e ee (Sem-Ill) (Revised Course 2019-2020) Emenee AMINATION JULY 2028 Engineering Materials Science And Metallurgy rime: 03:00 Hours] qu Q2 [Max. Marks: 100] Instructions:i) Answer any two ques ee 2 eS pats Se eachifiom Part-A and Part-B and one question, ii) Assume suitable data ifrequied. PART A Answer Any two questions from the following A. Determine the Miller Indices of the s e oe Jhad&a planes as shown the followingcubic 3 BB. Skeich within a cubic unit cell the following plates and directions i. 023) i, 121) fii, (102) : €. Draw neat sketches of unit cellof SC, BEC and FOG erysel structures ‘Calculate the effective number of ators in each case 6 D. Deferinine tensile stress that must be applied tothe [110] direction of high purity ® Pete copper single crystal to cause slip on he (111) 011} sip system, The esolved shear stress for crystal is 0 Mpa. A, Fora 99.65 wits Fe-0.35 wits C alloy at a tempetstae Just relow the eutectoid 6 temperature, determine 4) The fraction of toa ferrite and cementite phases 1b) The fiactions of procutetoid fersite and peartite ¢) The fraction of eutetoid ferrite TB, Ds aneat Fe Fe3C diagram and label the fields fiplain hoy lever mile can be weed fo eset composition and fraction of solid ea guid phases in somomphous binary phase diam. 6 (6c48CCF7E2EF79E2836E7EFI 19DBEATS ¢ And Metallurgy Js Sefenc’ Material Paper / Subject Code: SE9309 / Engineering Paper / Si SE 5305 sme and explain the various TYPES Of ze. g Name a Q3___ A. What do you mean by crystal defect? i. of Printed dimensional defects «4 diretion of Burgers Vector for otal No.of pride and direst B. Draw burger circuits to show the magni aan edge dislocation 6 f reutectoid steel, 8 . Draw and explain the Isothermal Transformation diagram for © PARTB rime: 3 Hours} Answer Any two question from following cntamaee Q4 A. Define the term ‘hardenability’ and explain the jominy i eon rt ma deta with a neat sketch BB. Explain the principle of ultrasonic non-destructive testing. Distinguish between thermoplastic and thermosetting polymers. Also list two «examples of each polymer type Qt @ ER 9 Explain difference beteen Induction and Flame Hardening ‘ Pres Explain difference between Normalizing and Annealing, List out the major functions of alloying elements in alloy steels ‘ Qs Draw and explain Stress v/s Strain Curve for specimen subjected to tension ti Op > Opp 8 Explain the process of Dye penerant Test for detecting surface cracks ‘ State steps for sample preparation for micro structural examination. 6 PART C Answer Any one guestions fiom the following. 7 A. Explain working of Optical Metallurgical Microscope with neat diagram, B. Calculate densities in following diréetionsplanes of FCC ‘unit eel. r AU G01) Fy Derive atomic packing factor for FCC crys) Structure, 08 A. What are composies materi. Casi thm, B. Explain invariant reactions in FecRegc diagram) Explain the Continuous Cooti . Explain the Conti OE Tie, . a eutectoid steels. CS al Gere. paper / Subject Code: SE9310 / Engineering Matrology & Machin Drawing ‘SB9310 Toul No- of Printed Pages: 4 S.E - (Mechanical) (Sem-II1) (Revised Course 2019-2020) EXAMINATION JANUARY 2023 Engineering Metrology & Machine Drawing [Max. Marks: 100] [Time: 3 Hours] Instructions: > Answer any five giestions, At least two from Part A, twoffom Part=B andione from Part ~C. + Assume any-missing data ifrrequited. Berea a @ Exel the the following. selins with suitable examples: 4 revision ii) Calibration (b)-Write a short notes on “the different types of errors in # measurin <> and process. 2 * € (© Three'100 paratr by frst (7 Marks) winging thein wy system © (6 Marks) mm énd bars ate ‘measured’on a level'com| (00 mm bar tha together snd com comparing with a'Galibrated 3 ‘The itce end bait together Measure 64 a bal Find‘ actual length of ech bar. > R Wii the bap ofa neat sketch explain the (6 Marks) Se tS comparator ofa general type GO-NOGO gauge designed (8 Marts) shaft-ole pair. Given () 432mm Tiesin the range 161 cnn 25i (iv) te ring forshaft =-11D°** a ore +0000. Na owance to be 10% of gauge the als ofall the feature (6 Marks) teragig? Verret i te prt aig sows B® (6 Marks) ‘method. thread is measured using the Mar ‘expression relating the pitch Aled) Q Qs Paper / Subject Code: SE9310/ Engineering Matrology & Machin Drawing aper 2 SEB) (© Explain the construction and use of (i) Verniet bevel prottactor, (iii) Sine (7farks bar with suitable sketches. Part-B Create the assembly drawing providing th half-sectioial front yiew of the fathe (20 Mats tool post. The detailed part draiving is shown in Figire-2. Prepare the bill of materials. Create a detailed part drawings of the blow off cock components from the (20 Matis) assembly drawing shown in Figufé-3. Prepate the part list. @) Sketch tie sectional front view of (i) Knuckle joint (i) Socket and Spigot (10 Mee) jointand give their NE @ State and. explain with sketches the Taylors principle for gauge design (7-Marks) (8) Sketch any four locking arrangement forts. (7 Marks) (©) Sketch of any four types of keys and give their proportions, (6 Marks) (@) Caloulate the limits of Sizes for #12 H5/f6 and identify the fit Given (7 Maks) {) 12 lies in the range 10-18 (ii) IT5= 7) (ii) 1T6= 10i (iv) Upper deviation for 'f shaft = -5.5D"" (v) i= 0.453\VD + 0.001. . (b) Distinguish between liné and end standards. How are enistandards (7 Marks) derived from line standards? Gige examples. (©) Explain briefly about interchangeable manufacturing and selective (6 Marks} assembly paper / Subject Code: SE9310 / Engineering Matrology & Machi ology & Machin Drawing SE9310 ae Sky a a] 1 1 1 Tie Fane 2 reiienn, V8)i| 2a - ‘SE9307 Total No. of Printed Pages: 04 SE- (Mechanical) (Sem-t } Revised Course EXAMINATIO) N JANUARY 2023 Machanics of Solids 2019-2020) [Time:3 Hours} [Max. Marks:100) Instructions; | > Attempt 5 questions in fi Part B and One Questio All dimensions in the figures ae in mm unless otherwise indicated there in, IL With atleast Two Questions from Part A and ns from Part C, Missing data if any may suitably be assumed, PART A QI Answer the following: " 8) A structural aluminium section has nominal dimensions as shown in Fig: | Heteming Wie values, ly and Ty. Also determine fhe maximum and ‘minimum Values of moment of inertia with respect to the axes passing through 0 (10+10) ayaa pag eae = » i ne Fig. 1 z —w 4 F ir Fig: 2(a) carries a uniformly distributed load q 2 po at a eae a the beam is shown in Fig: 2(b). If the Tris mini wake compression is limited to 38 MPa, are on cimum permissible intensity of the distributed load q on the ug maximuon valve of Shear stress in the beam cross pe? falue of q determined and locate its position on the beam. ae oni of bending stress and shear stress across the beam cross Show the v vetion. Pos 4 : f= niet ee Fie 2b) c _g2DC3S1FASCID22F34C686TDSSEDAA ” Paper / Subject Code: SE9307 / Machanies of Solids raper / Subject SEQp (0s 2 Attempt the following: : es. 67 10-* and yoy~626x 10, Determine the strain components referred to rw st of nas abtined by rotating the Oxy axes through 45 aoe clockwise direction, Also determine the principal strains, principal stresses and their directions, if E=200 GPa and j= 0:3. Pstres ig. 3, determine: >) For the state of stress shown in Fig. 3, ne i. The stresses on a plane making a ce angle of 30° with the vertical plane. ii, The principal stresses and their directions iii, The maximum shear stress and its direction 200 MPa * r sor], sora + 100MP2 Fig. 3 @ Answer the following: ae 8) Derive the relation for moment of incrtia of «triangle of base-b and height h aboutaxis passing through ils centroid and parallel to the base, ®) Draw the shear foree and bending moment diagram for the overhanging beam shown in Fig: 4 below. Determine the sections of the beam where the bending moment is maximum and locate the point of contra flexure. aa 2 kim diameter as 4/5" of the outside dig of these shafts required to transmit 4200033} TSCID22RSAC 886 7D SAc94 4 — "! Machanies of Solids b) Determine the cri : SE9307 itical load ends and loaded by oy a along slender bar of length L fixed at both Compressive force p action passing through A rece P at each end, the line of Attempt the following: : a) A composite shafts fab aah) alloy, G=30 GPa, Sbricated from a 40 mm, diameter solid aluminium and is Surrounded by it 5 ces °Y a hollow circular shaft of outside Bs 60 mm and atiside diameter 50mm, G = 85 GPa The two shafts are idly connected at their S. If the composite shaft is subjected to end junction 2 F a torque of 2 KN-m, caloulate the maximum shear stress in the steel and aluminium shafts, b) A column of diameter 120 mm and length 4.5 m is subjected toa Compressive load of 10 KN at an ec stress induced in the column, Take E = 180 GPa. Also find the maximum. deflection, Attempt the following: (10#10) a) An offset link is shown in Fig: 5. Determine the cross section shown, if the ‘maximum normal stress is to he limited to 60 MPa, The thickness of flange as well as web ist. SunBie ee of the cantilev m in Fig; 6, b) C the i \d of the cantilever shown in Fig: 6, rtical deflection at free end ofthe can ' a ea force ? and moment M using Castigliano’s theorem. In a culating the strain energy, consider only the energy due to bending, culating uM Fig: 6 Paper / Subject Code: SE9307 / Machanies of Solids PARTC Q7_ Answer the following: ) Derive the secant formula for determining the maximum stress in an ly loaded column. gid bar AB in Fig: 7 is supported by two vertical rods and is pinned at A. Ifthe yield point of the material of the rods is 400Mpa and the cross sectional area of each rod is 1000 mm?, determine the ultimate load that can bbe applied. The distance between the two vertical rods is 0.5 m as shown in fig: 7. Both the rods are of equal length J. You may take E=210 GPa for both the rods. Fig: 7 QB Answer the following: 2) A flat plate of trapezoidal section is shown ‘n Fig: 8. The thickness of the Plate is 10 mm and it tapers uniformly in width from 80 mm to 120 min over & leoesh of 600 mm. Ifa axial fore of 60 KN is applied at each end. determine the elongation = cay gation of the plate. Take E=200 GPa. Derive the formula ——_——— Paper! SEDRy) vo. of Printed Pages: 3 No (0s 1 SE sphree Hours} ge: ThTE! 1. Answ PART 2. Use o 3. Assur aructions: 11 a. Derive the general ener systems: (Centrifugal water parm (ii) Reciprocating air com (ii) Steam nozzle (iv) Steam turbine b. A cylinder contains 0/ (10+10) 0,13. mm’, the final pressur (The mass of gas; ‘The value of index’ ‘The increase in inter (iv) The heat received o Take y= 1.4, R= 2942 Q2a. Ina test of water cool Bis 175K5iKg of air delive that the increase in enth ‘atmosphere from the co ‘>. Explain heat engine, ; QB.a. State and explain Piss ~D. State and explain fir c Pangan sim $ = > A eyolic heat engine the least rate of Ik J = s y = & * = + Ss = S — 22|o1(2225 Paper / Subject Code: SE9308 / Engineering Thermodynamics Lyte — SE9308 No. of printed Pages: 3 . (Mechanical) Semester-III (Revised Course 2019-20) EXAMINATION JANUARY 2023 Engineering Thermodynamics 10) [Max. Marks: 100) “three Hours] 1, Answer five questions in all selecting.at least two questions from each PART A and PART B and one question from PART C. 2, Use of tables and charts is permitted. 3, Assume missing data, ifat all any, wi PART-A th proper justification ' sendy flow system and simplify when applied for the following J a Derive the general energy equation for s systems: (@ Centrifugal water pump {Reciprocating air compressor (Gi Steam nozzle ) Steam turbine as at 1 x 108 Nim? and 80°C. The gas is compressed to a-volume of b.A cylinder contains 0.45 mm of a 8 (0° N/m?. Determine: 0.13 m, the final pressure being 5 * J () The mass of gas; (i) The value of index ‘a! for compression; (iii) The increase in internal energy of the 45+ ; (iv) The heat received or rejected by the gas during compression. Take y = 1.4, R = 294.2 Whe °C: ee ‘tis found thatthe shaft work required to drive the compressor 10 through the compressor is 7OkI/Kg and Qa Ina test of ed air compressofr of wate cooled ir compressn iti ing ate the amount of heat transfer to the is 1754d/kg of air delivered and increase i” that the increase i jrculating water is 92ks/kg, Compt ; i = on ace kg orale (Assume change in PE. and K.E. to be negligible) 10 $. Explain heat engine, refrigerator and Beat PUMP: 6 Wa Site and explain second law of thermodynamics Whatis 6 +, State and explain first law of thermod mmamies for actosed system undergoing change of state. PMM-1? Why it is impossible? ©. A eyelic heat engine operates between 8 SOU%E temperature of 1000°C and a sink temperature of 40°C. 8 Sin the tone ein een ver EWEN ofthe engine? 1 SE9%), PART-B @ Prove that enttopy is a property of a system. B.A closed system cont undergoes a thermody, @ Constant Volume he Gi) Constant pressure Gid) Isothermal heatin, tains air at a pressure | bar, temperature 300 K and volume Tamic eycle consisting of the following three processes in se ‘eat addition till Pressure becomes 5 bar, cooling, and 0.018 m>. This SYsten ries: 8 {0 initial state. Evaluate the change in entropy for each process @ Sensible heat of water, Gd) Latent heat of steam; Gi) Dryness fraction of steam, Gv) Enthalpy of wet steam, and (©) Supetheated steam. Q6 a. The minimum pressure ai yele‘are 100 kPa and 27°C. The amount of heat added to the air per cycle is 1500 ki/kg. () Determine the pressures and tem b: Draw and explain a p-T (pressure-temperature) diagtam for a pure substance. PART-C Q7 a. Explain air standard cycle for the Diesel engine, . Explain briefly Brayton cycle, Derive expression for optimum pressure ratio. ‘ ed Q8 a. When a stationary mass of gas was compressed without friction at constant pressure its initial state ‘ 0.4 m? and0.105 MPa was found to change to final state of 0.20 m® ana 0.105 MPa. There was a transi of 42-5 Kt of heat fom the gas during the proces. Calculate change in internal eneray ». For isothermal flow and non-flow steady processes, prove that ee Paper / Subject Code: SE9308 / Engineering Thermodynamics SE9308 : : [[ravm— [ven sjosatethe assumptions made. food refrigerator maintains a temperature of - 12°C. The ambient air temperature is 3s°C. if © Adamestic the continuous rate of 2 kJ/s determine the least power necessary to pump teks into the freezer at sisbat oat continuously. Faper / Sunject Coae: 919500 / mathematics 11 M- { ori [2023,. SE9306 Total No. of Printed Pages: 3 S.E. (Mechanical) Semester-III (Revised Course 2019-20) EXAMINATION JANUARY 2023 Mathematies-11I [Time: Three Hours] [Max. Marks: 100 1) Attempt five questions, any fwo questions each from Part -A and Part -B and one from Part -C. 2) Assume suitable data, if necessary. 3) Figures to the right indicate full marks. Part-A Instructions QI a) Find the rank of the following matrix Bi A283 Pg <5 ee (3 -8 52 . 6 ) and hence reduce it into its Normal form b) Test the consistency of the system of.equations : 5x, + 3x2 + 7x3 “3x; + 26%) +223 = 9 Txt 2x, +10x3 Find the solution if it is consistent. 6) Test whether the following vectors are Lineatly “elation, (1, 1y-1, 193-1, ct) and 3, 15 0, 1) a) IEL[f(O)] = FC), then prove the following S ct e @ wUetfOla¥E-9 < @ Lf r@aty =; FO) - +») Find the Laplace transform of the function r > vy {te for 02t <2 6 t) = $ $ se) i for2 given that ((t+ = SO. ‘ s ‘ se transform of the following ay 4545 ») Gen = 8 raper Per Supject Loge: se:xsvo,; matnemauis 11 M- (Ett or 5 $E9306 otal No.of Printed Pages: 3 S.E. (Mechanical Semester-III (Revised Course 2019-20) EXAMINATION JANUARY 2023 Mathematics-I11 [Time: Three Hours] [Max. Marks:10 Instructions: a — five questions, any two questions each from Part -A and Part -B and one from he 2) Assume suitable dat, if necessary. 3) Figures tothe right indicate ull mars. Part-A. QL a) Find therankof the following matrix y See 5 a=(2 3 1S? | anahen fe =|2 3 ce reduce it into its Normal form | 5 21 6 b) Test the consistency of the system of equations 7 | Say + 3x2 + 7x3 =4 3%, + 26%) +23 = 9 Txt 2x +10x, = 5. Find the solution if it is coasistent. ©) ‘Test whether the following vectors are Linealy dependent or not:If linearly dependent find the relation. (1, 1,-1, 1)>(1, -1,24) and (3, 1-0, 1) 2) IEL{fC] = FG), then prove the following f @ UetfojrzFo-9 < i) LEG F@de] =; FO in of the function ») Find the Laplace transform of Eee: . 10=(R Sfoegecea given that f(t +4) = fO. ©) Find inverse Laplace transform of the following 8 4545 4 D ASS Dear Q@ 6 a) b) b) SE9306 av cteristic roots Prove or disprove that the matrix A and its transpose have the same chara 4 2-2 Digan eon mai = (5 : : ‘ State and prove convolution theorem for Laplace Transforms and hence find the Laplace Inverse ¥ of ae Part-B Find the Fourier series to represent (x)= e7®*;~1 < x<1 7 Find the half range fourier cosine setiés of f(x) = 2x;0°< x <1 ‘ 2@-n;

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