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Gòej ØeosMe ueeskeâ mesJee DeeÙeesie UPPSC Assistant Engineer MECHNICAL ENGINEERING Øewefkeäšme yegkeâ mebheeove SJ eb mebkeâueve AE cewkesâefvekeâue DeefYeÙeblee hejer#ee efJeMes<e%e meefceefle keâchÙetšj «eeefHeâkeäme yeeueke=â<Ce, Ûejve efmebn mebheeokeâerÙe keâeÙee&ueÙe ÙetLe keâe@efcheefšMeve šeFcme 12, ÛeÛe& uesve, ØeÙeeiejepe-211002 cees. : 9415650134 Email : [email protected] website : www.yctbooks.com ØekeâeMeve Iees<eCee mecheeokeâ SJeb ØekeâeMekeâ Deevevo kegâceej cenepeve ves ™he efØebefšbie Øesme, ØeÙeeiejepe mes cegefõle keâjJeekeâj, ÙetLe keâe@efcheefšMeve šeFcme, 12, ÛeÛe& uesve, ØeÙeeiejepe-2 kesâ efueS ØekeâeefMele efkeâÙee~ Fme hegmlekeâ keâes ØekeâeefMele keâjves ceW mecheeokeâ SJeb ØekeâeMekeâ Éeje hetCe& meeJeOeeveer yejleer ieF& nw efHeâj Yeer efkeâmeer $egefš kesâ efueS Deehekeâe menÙeesie SJeb megPeeJe meeoj Dehesef#ele nw~ cetuÙe : 195/- efkeâmeer Yeer efJeJeeo keâer efmLeefle ceW vÙeeefÙekeâ #es$e ØeÙeeiejepe nesiee~ CONTENT AE EXAM SYLLABUS ................................................................... 3-4 (cid:1) PRACTICE SET-1 : FIRST PAPER .......................................... 5-13 (cid:1) PRACTICE SET-1 : FIRST PAPER SOLUTION ................... 14-26 (cid:1) PRACTICE SET-1 : SECOND PAPER ................................... 27-35 (cid:1) PRACTICE SET-1 : SECOND PAPER SOLUTION .............. 36-51 (cid:1) PRACTICE SET-2 : FIRST PAPER ........................................ 52-59 (cid:1) PRACTICE SET-2 : FIRST PAPER SOLUTION ................... 60-72 (cid:1) PRACTICE SET-2 : SECOND PAPER ................................... 73-81 (cid:1) PRACTICE SET-2 : SECOND PAPER SOLUTION .............. 82-95 (cid:1) PRACTICE SET-3 : FIRST PAPER ...................................... 96-103 (cid:1) PRACTICE SET-3 : FIRST PAPER SOLUTION ............... 104-116 (cid:1) PRACTICE SET-3 : SECOND PAPER ............................... 117-125 (cid:1) PRACTICE SET-3 : SECOND PAPER SOLUTION .......... 126-140 (cid:1) PRACTICE SET-4 : FIRST PAPER .................................... 141-148 (cid:1) PRACTICE SET-4 : FIRST PAPER SOLUTION ............... 149-160 (cid:1) PRACTICE SET-4 : SECOND PAPER ............................... 161-168 (cid:1) PRACTICE SET-4 : SECOND PAPER SOLUTION .......... 169-181 (cid:1) PRACTICE SET-5 : FIRST PAPER .................................... 182-189 (cid:1) PRACTICE SET-5 : FIRST PAPER SOLUTION ............... 190-202 (cid:1) PRACTICE SET-5 : SECOND PAPER ............................... 203-211 (cid:1) PRACTICE SET-5 : SECOND PAPER SOLUTION .......... 212-224 (cid:1) 2 UPPSC Uttar Pradesh Public Service Commission Government of UP, Prayagraj Combined State Engineering Services (General Recruitment/Special Recruitment) Examination-2019 : Post ASSISTANT ENGINEER 'AE' [Pay scale: (` 15,600 - ` 39,100/-) Grade pay : ` 5400/-] SI. Name of Name of Essential qualification for the post No. of No. Department Post Vacancies 1. Irrigation Deptt. Asstt. Engg. Essential– Must possess a degree in 73 (Mechanical) Mechanical Engineering as the case may be, 2. Minor Irrigation – from an institution or university recongised by 05 Deptt. the Government, or be a qualified Associate 3. Public Works Deptt. – Member of the institution of Engineer (India) 46 (P.W.D.) Mechanical Engineering Branch, as the case 4. Mandi Parishad – may be. 05 5. Housing and Urban – Preferential– A candidate who has. (i) served 25 Planning Deptt. in the Territorial Army for a minimum period 6. Nagar Vikas Vibhag – of two years, or (ii) obtained a “B” Certificate 06 7. Nagar Vikas Vibhag Asstt. Engg. of N.C.C. or (iii) Successfully completed one 19 (Water) (Water) year training as trainee, shall other things 8. Labour Deptt. Asstt. Engg. being equal, be given preference in the matter 13 (Factories) (Factories) of direct recruitment. (iv) Working knowledge 9. Labour Deptt. Asstt. Engg. of Hindi written in Devnagri Script. 01 (Boilers) (Boilers) 10. Nagar Vikas Vibhag – 18 (Special Cat.) (SC/ST/OBC) 11. Mandi Parishad – 02 (OBC) (special Cat.) Examination Pattern and Syllabus The following two objective type papers will be for the Combined State Engineering Services Examination. PAPER-I Subject No. of Questions Marks Total Marks Time General Hindi 25 (Each question of 75 3 marks) 375 2.30 Hours Main Subject 100 (Each question 300 (Mech. Engg.-I) of 3 marks) PAPE R-II Subject No. of Questions Marks Total Marks Time General Studies 25 (Each question of 75 3 marks) 375 2.30 Hours Main Subject 100 (Each question 300 (Mech. Engg.-II) of 3 marks) Personal Examination (Interview) – 100 Marks Total – 375 + 375 + 100 = 850 Marks 3 SYLLABUS General Hindi – Hindi syllabus will be made in such a way that the candidates under standing of Hindi language and efficient use of words can be checked. Its level will be of high school. General Studies – The question paper of General Studies will include information focusing on current events and their scientific aspects of such things which come in everyday experience and which can be expected from an educated person. The question paper will also included such questions in the history, politics and geography of India, to which candidates will be able to answer without special study. MECHANICAL ENGINEERING PAPER-I 1. Engineering Mechanics: Analysis of force systems, friction, cendtroid and centre of gravity, trusses and beams, principle of virtual work, kinematics and kinetics of particle, kinematics and kinetics of rigid bodies. 2. Mechanisms and Machines: Velocity and acceleration of links, cams and followers gears and gear trains clutches, belt drives, brakes and dynamometers, Flywheel and governors, balancing of rotating and reciprocating masses, balancing of multi cylinder engines, Free and forced vibration, damped vibration, whirling of shafts. 3. Mechanics of Solids: Stresses and strains, compound stresses strains, Torsion of circular shafts, stresses and deflections in beams unsymmetrical bending, curved beams, Thin and thick cylinders and spheres, Buckling of columns, Energy methods, helical and leaf springs. 4. Design of Machine Elements: Design for Static and dynamic loading, Theories of failure, fatigue principles of design of rivetted, welded and bolted joints, shafts, springs, bearings, brakes, clutches and flywheels. 5. Engineering Materials: Crystal systems and crystallography, crystal imperfections, Alloys and phase diagrams, Heat treatment, ferrous and non ferrous metals and alloys, Mechanical properties and testing. 6. Manufacturing: Metal casting, metal forming, metal joining, Mechanics of metal cutting, machining and machine tool operations, unconventional machining methods limits, fits and tolerances, inspection: Surface roughness, comparators, computer integrated manufacturing, Flexible manufacturing systems, jigs and fixtures. 7. Industrial Engineering: Production, planning and control, inventory control and operation, research, CPM and PERT. 8. Mechatronics and Robotics: Microprocessors and microcontrollers, Architecture, Programming, Computer interfacing Programmable logic controller, sensors and actuators, Piezoelectric accelerometers, Hall effect sensors, optical encoder, resolver, Inductosyn, Pneumatic and Hydraulic Actuators, stepper motor, control system, mathematical modeling, control signals, controllability and observability, Robotics: Robot classification, robot specification. Notation: Direct and inverse kinematics homogeneous co-ordinates and arm equation of four axix SCARA Robot. MECHANICAL ENGINEERING PAPER-II 1. Thermodynamics: Thermodynamic systems and processes, properties of pure substances, concepts and applications of zeroth, first and second law of thermodynamics, entropy, availability and irreversibility, detailed analysis of thermodynamic cycles, ideal and real gases, fuels and combustion. 2. Fluid Mechanics: Basic concepts and properties of fluids, manometry, fluid statics, buoyancy, equations of motion, Bernoulli's equation and applications, viscous flow of incompressible fluids, laminar and turbulent flows, flow through pipes and head losses in pipes, dimensional analysis, Forces on immersed bodies and boundary layer over a flat plate, isentropic and adiabatic flows, normal shock waves. 3. Heat Transfer: Modes of heat transfer, steady and unsteady heat conduction, thermocouple time constant, critical thickness of insulation, heat transfer from fins, momentum and energy equations for boundary layer flow on a flat plate. Free and forced convection, radiation heat transfer, Stefan-Boltzmann law, shape factor, black and grey body radiation heat exchange, boiling and condensation, heat exchanger analysis, LMTD and NTU – effectiveness methods. 4. Energy conversion: SI and CI engines, performance characteristics and testing of IC engines, combustion phenomena in SI and CI engines, carburetion and fuel injection systems, emissions and emission control. Reciprocating and rotary pumps, pelton wheel, Francis and Kaplan turbines, velocity diagrams impulse and reaction principles steam and gas turbines; Rankine and Brayton cycles with regeneration and reheat, high pressure boilers, draft, condensers. Unconventional power systems, including nuclear, MHD, biomass, wind and tidal systems, utilization of solar energy; Reciprocating and rotary compressors; theory and applications, Theory of propulsions, pulsejet and ramjet engines. 5. Environmental control: Vapour compression, vapour absorption, steam jet and air refrigeration systems, properties of refrigerant and their nomenclature, psychometrics properties and processes, psychrometic relations, use of pschrometic chart, load estimation, supply air conditions, sensible heat factors, air conditioning system layout, comfort chart, comfort and industrial air conditioning. 4 PRACTICE SET-1 PAPER - I meeceevÙe efnvoer 13. ‘mebÙeesie’ ceW efkeâme Ghemeie& keâe ØeÙeesie ngDee nw? (a) meced (b) meved 1. efvecveefueefKele ceW mes keâewve-mee Deble:mLe JÙebpeve nw? (c) meb (d) meg (a) ue (b) he 14. efvecveefueefKele ceW mes keâewve-mee efJeueesce Ùegice mener veneR nw? (c) Ûe (d) š (a) Yeõ–DeYeõ (b) YeÙe-meenme 2. efJejece efÛeÖ kesâ ØeÙeesie keâer Âef° mes efvecveefueefKele ceW mes (c) cetÌ{-%eeveer (d) ceevÙe-OeevÙe keâewve-mee JeekeäÙe mener veneR nw? 15. efvecveefueefKele ceW mes keâevw e-mee Meyo ‘cemlekeâ’ keâe (a) Jen otj mes, yengle otj mes, Dee jne nw~ heÙee&ÙeJeeÛeer nw? (b) megvees, megvees, Jen iee jner nw~ (a) ueeue (b) ueueeš (c) veneR, veneR, Ssmee keâYeer veneR nes mekeâlee~ (c) ueeefuecee (d) ueueeF& (d) ›eâesOe, Ûeens pewmee Yeer nes, ceveg<Ùe keâes ogye&ue yeveelee nw~ 16. efvecve ceW keâewve mee Meyo DevekseâeLe&keâ nw? 3. efkeâme Meyo keâer Jele&veer Megæ nw? (a) DeefYeceeve (b) DeeÙeg (a) he=° (b) ØeÙee&hle (c) DeefOekeâ (d) DeLe& (c) Øeoe|Meveer (d) yeÇpeYee<ee 4. Meyo-Øekeâej kesâ DeeOeej hej ‘ceveg<Ùelee’ MeyoeW keâe keâewve 17. ‘DeefYe%e-DeveefYe%e’ MeyoeW keâe mener DeLe& yeleeF&Ùes~ mee Yeso nw? (a) De%eeve – %eeveer (b) %eeveer – heÌ{vee (a) iegCeJeeÛekeâ efJeMes<eCe (b) peeefleJeeÛekeâ meb%ee (c) peevekeâej – veepeevekeâej (d) DeiecÙe – iecÙe (c) YeeJeJeeÛekeâ meb%ee (d) ØesjCeeLe&keâ ef›eâÙee 18. ‘pees FbefõÙeeW keâer hengBÛe mes yeenj nes’– 5. ‘Deehe Yeuee lees peie Yeuee’ - JeekeäÙe ceW jsKeebefkeâle Meyo JeekeäÙeebMe kesâ efueS Skeâ Meyo yeleeFS~ keâewve mee meJe&veece nw? (a) FbefõÙeefpele (b) FbefõÙeeefve«en (a) heg®<eJeeÛekeâ (b) efvepeJeeÛekeâ (c) FbefõÙeeleerle (d) FbõOeveg<e (c) efve§eÙeJeeÛekeâ (d) Deefve§eÙeJeeÛekeâ 19. ‘hees±Deve’ efkeâme mJej mebefOe keâe GoenjCe nw? 6. ‘keâMceerjer mesye efmebotjer ueeue neslee nw~’– (a) iegCe (b) DeÙeeefo JeekeäÙe ceW jsKeebefkeâle Meyo efJeMes<eCe kesâ efkeâme Yeso kesâ (c) Je=efæ (d) ÙeCe Debleie&le DeeSiee? 20. ‘ØelÙebie’ efkeâme meceeme keâe GoenjCe nw? (a) iegCeJeeÛekeâ (b) heefjceeCeJeeÛekeâ (a) DeJÙeÙeerYeeJe (b) lelheg®<e (c) ØeefJeMes<eCe (d) meeJe&veeefcekeâ (c) efÉieg (d) ÉbÉ 7. ‘osKee ieÙee nes’– ef›eâÙee kesâ efkeâme he#e keâe GoenjCe nw? 21. ‘Gmeves Deheves keâes efveoex<e Ieesef<ele efkeâÙee~’– (a) mebefoiOe Jele&ceeve (b) mebYeeJÙe Jele&ceeve Fme mejue JeekeäÙe kesâ efceße JeekeäÙe keâe ™he evf ecveefueefKele (c) mebefoiOe Yetle (d) mebYeeJÙe Yetle ceW mes keâewve-mee nw? 8. ‘meerlee meefKeÙeeW meefnle heg<he Jeeefškeâe ieF&~’– (a) Gmeves keâne efkeâ ceQ efveoe<xe ntB~ JeekeäÙe ceW jsKeebefkeâle DeJÙeÙe-ØeÙeesie efvecveefueefKele ceW mes (b) Gmeves keâne Deewj Jen efveoex<e Ieesef<ele ngDee~ efkeâme Yeso keâe GoenjCe nw? (c) Gmeves keâne efkeâ Gmes evfeoex<e Ieesef<ele ekfeâÙee peeS~ (a) mecegÛÛeÙeyeesOekeâ (b) ef›eâÙeeefJeMes<eCe (d) Gmeves keâne efkeâ ceQ Deheves keâes efveoex<e Ieesef<ele keâj jne ntB~ (c) mebyebOeyeesOekeâ (d) efJemceÙeeefoyeesOekeâ 22. ëe=bieej jme keâe mLeeF& YeeJe keäÙee nw? 9. efvecveefueefKele ceW mes keâewve mee Meyo Œeerefuebie nw? (a) jefle (b) ›eâesOe (a) hegâšheeLe (b) mketâue (c) neme (d) efJemceÙe (c) mšesJe (d) kesâleueer 23. efkeâme Úvo ceW 26 cee$eeSB nesleer nQ leLee 14–12 hej Ùeefle 10. ‘hej’ efkeâme keâejkeâ keâe hejmeie& nw? nesleer nw? (a) mebØeoeve (b) Deheeoeve (a) Jeerj (b) meesj"e (c) mebyebOe (d) DeefOekeâjCe (c) ieereflekeâe (d) ÚhheÙe 11. keâewve mee Meyo lelmece veneR nw? 24. peye efkeâmeer meeceevÙe yeele keâe efJeMes<e yeele mes leLee efJeMes<e (a) heeMJe& (b) hee<eeCe yeele keâe meeceevÙe yeele mes meceLe&ve efkeâÙee peeS, JeneB (c) heengvee (d) efheškeâ keâewve-mee Deuebkeâej nesiee? 12. ‘DeeueesÛekeâeW kesâ Deveg™he nceW Deheveer jÛevee ceW heefjJele&ve (a) efJejesOeeYeeme (b) mevosn keâjvee nesiee~ Fme JeekeäÙe ceW efkeâmeer Skeâ Meyo keâe mevoYe& Deewj YeeJe keâer Âef° mes GheÙegòeâ ØeÙeesie veneR ngDee nw~ Gme (c) DeLee&vlejvÙeeme (d) efJeMe<seesefòeâ Meyo keâe ÛeÙeve keâerefpeÙes : 25. ‘SefÌ[ÙeeB jieÌ[vee’ cegneJejs keâe mener DeLe& keäÙee nesiee? (a) DeeueesÛekeâeW (b) Deveg™he (a) SefÌ[ÙeeB meeHeâ keâjvee (b) heefjßece keâjvee (c) jÛevee (d) heefjJele&ve (c) yengle oewÌ[-Oethe keâjvee (d) hejsMeeve keâjvee 5 TECHNICAL 26. A bar produces a lateral strain of magnitude 60×10−5 m/m when subjected to a tensile stress of magnitude 300 MPa along the axial direction. What is the elastic modulus of the material if the Poisson’s ratio is 0.3? (a) 200 GPa (b) 150 GPa a4 a3 (c) 125 GPa (d) 100 GPa (a) (b) 12 2 12 2 27. The steel bar AB varies linearly in diameter from 25 mm to 50 mm in a length 500 mm. It is a4 a3 (c) (d) held between two unyielding supports at room 6 2 6 2 temperature. What is the stress induced in the 34. A beam is fixed at one end and is vertically bar, if temperature rises by 25ºC? Take E = 2 × supported at the other end. What is the degree 105 N/mm2 and α = 1.667× 10-6/ºC of statistical indeterminacy? (a) 110 N/mm2 (b) 140 N/mm2 (a) 1 (b) 2 (c) 120 N/mm2 (d) 150 N/mm2 (c) 3 (d) 4 28. The change in length due to tensile or 35. Bending moment M and torque T is applied on a compressive force acting on a body is given by solid circular shaft. If the maximum bending (with usual notations) stress equals to maximum shear stress (a) δl = AE/ Pl (b) δl = Pl/AE developed, them M is equal to (c) δl = PE/Al (d) δl= P/AlE T 29. The normal stresses at a point are σ = 10 MPa, (a) (b) T x 2 σ = 2 MPa, and the shear stress at the at this y (c) 2T (d) 4T point is 3 MPa. The maximum principal stress at this point would be 36. What is the change in Euler's buckling load, if the diameter of the column is reduced by 10%? (a) 15 MPa (b) 13 MPa (a) 4 (b) 6 (c) 11 MPa (d) 09 MPa 30. If the principal stresses at a point in a strained (c) 34 (d) 59 body are σ and σ (σ >σ ), resultant stress 37. A steel rod of original length 200 mm and final x y x y length of 200.2 mm after application of an axial on a plane carrying the maximum shear stress tensile load of 20 kN what will be the strain is equal to developed in the rod? (a) σ2 +σ2 (b) σ2 −σ2 (a) 0.01 (b) 0.1 x y x y (c) 0.001 (d) 0.0001 σ2+σ2 σ2 −σ2 (c) x y (d) x y 38. A body is subjected to principle stresses at a 2 2 point having values as 200 MPa, 150 MPa and d3y 100 MPa respectively. What is the value of 31. The expression El at a section of a beam dx3 maximum shear stress (in MPa)? represents (a) 25 (b) 50 (a) Shear force (b) Rate of loading (c) 75 (d) 100 (c) Bending moment (d) Slope 39. Which of the following shows the correct 32. The ratio of moment carrying capacity of a relation between shear force (Vx), bending square cross section beam of dimension D to moment (Mx) and load (w)? the moment carrying capacity of a circular d2V (a) x =−w cross section of diameter D is : dx2 16 16 (a) (b) dV 3π π (b) x =−w dx 16 8 (c) (d) dM 5π 3π (c) x =V dx x 33. A square section of side 'a' is oriented as shown dV dM in the figure. Determine the section modulus of (d) both x =−wand x =V the following section? dx dx x 6 40. A steel rod whose diameter is 2 cm and is 2 cm long experiences change in temperature due to heating. The coefficient of thermal expansion is α = 12 × 10−6 / °C and the rod has been restricted in its original position. The young's modulus is 200 GPa and thermal stress developed is 288 MPa what is the value change in the temperature (°C)? (a) 50 (b) 100 (a) σ (b) –σ (c) 120 (d) 150 (c) 2σ (d) –2σ 41. What is the ratio of the Euler's buckling loads 47. The motion of a square bar in a square hole is of column having(i) both ends fixed and (ii) example of ______. both ends hinged? (a) Completely constrained motion (a) 4 : 1 (b) 16 : 1 (b) Incompletely constrained motion (c) 1 : 4 (d) 2 : 1 (c) Successfully constrained motion 42. The condition for the thermal stress in a body (d) Machine are given below. 48. The link EF in a slider crank mechanism has a (1) It is the function of coefficient of thermal length of 0.4 m. The velocity of end E with expansion. respect to F is 4.9 m/s. The angular velocity of (2) It is the function of temperature rise. the link is : (3) It is the function of modulus of elasticity. (a) 0.01225 rad/s (b) 1.225 rad/s Which of the following is the CORRECT (c) 12.25 rad/s (d) 1225.5 rad/s answer? 49. In a slider crank mechanism if the crank (a) 1 and 2 only (b) 1 and 3 only rotates at uniform speed of 200 rpm and has a (c) 2 and 3 only (d) All option are correct length of 0.2 m, its linear velocity is: 43. What will be the change in length (mm) of a (a) 4.19 m/s (b) 20.9 m/s steel bar having a square cross section of (c) 5.2 m/s (d) 41.9 m/s dimension 40 mm × 40 mm, which is subjected 50. A rod of length 1 meter is sliding in a corner as to an axial compressive load of 250 kN. If the shown in the figure. At an instant the velocity length of the bar is 4 m and modulus of of point 'A' on the rod is 1m/sec when the rod elasticity is E = 250 GPa? makes an angle of 600 with the horizontal (a) 2.5 (b) 1.25 plane. The angular velocity of rod at that (c) 2 (d) 1.5 instant is: 44. Consider the loaded beam as shown in the figure below. Determine the portion of the beam which is subjected to pure bending. (a) 2 rad/sec (b) 1.5 rad/sec (c) 0.5 rad/sec (d) 0.75 rad/sec 51. A spur gear with 22 number of teeth and a 28 (a) DE (b) CD mm pitch circle diameter will have a circular (c) BD (d) AE pitch as: 45. The value of the principal stress at a point in a (a) 2 mm (b) 4 mm plane stressed element is (c) 6 mm (d) 8 mm σ = σ = 500 MPa x y 52. An epicyclic gear train has 3 shafts A, B and C. Calculate the value of normal stress acting A is the input shaft running at 100 r.p.m. (MPa) at the angle of 45o at X axis clockwise. B is the output shaft running at 250 (a) 250 (b) 500 r.p.m. clockwise. The torque on A is 50 kNm (c) 750 (d) 1000 (clockwise), C is a fixed shaft. The torque 46. Calculate the maximum value of the principal needed to fix C is stress for the stress state shown in the figure. (a) 20 kN m (anti-clockwise) 7 (b) 20 kN m (clockwise) 59. A mass of 35 Kg is suspended from a weightless (c) 30 kN m (anti-clockwise) bar AB which is supported by a cable CB and a (d) 30 kN m (clockwise) pin at A as shown in the figure. The pin 53. Power transmitted (Watts) by spur gear may reactions at A on the bar AB are be given as [Ft = tangential component of force (N), Fr = radial component of force (N), n = rotational speed (rpm), and d = pitch diameter (m)] πdnF πdn2 (a) t (b)   F 60  60  t πdn2 πdnF (c)   F (d) r  60  r 60 54. In flat belt drive the condition for maximum (a) R = 343.4 N, R = 755.4 N x y power transmission is given by: (where T (b) R = 343.4 N, R = 0 x y maximum tension and Tc centrifugal tension in (c) Rx = 755.4 N, Ry = 343.4 N belt) (d) R = 755.4 N, R = 0 x y (a) T = 3Tc (b) T = 2Tc 60. A 120 mm wide uniform plate is to be subjected (c) T = πT (d) T = 3πT to a tensile load that has a maximum value of c c 55. If the rotating mass of a rim-type flywheel is 250 kN and a minimum value of 100 kN. The distributed on another rim-type flywheel whose properties of the plate material are: endurance mean radius is half of the mean radius of the limit stress is 225 MPa, yield point stress is former, then the energy stored in the latter at 300 MPa. If the factor of safety based on yield the same speed will be point is 1.5, the thickness of the plate will be (a) four times the first one nearly (b) same as the first one (a) 12 mm (b) 14 mm (c) one-fourth of the first one (c) 16 mm (d) 18 mm (d) one and half times the first one 61. The shearing area of a Key of length 'L' 56. In a crank and slider mechanism if ω is angular breadth 'b' depth 'h' is equal to velocity of the crank, r is radius of the crank, θ (a) b X h (b) L X h is the angle turned by the crank from inner h (c) L X b (d) LX dead centre and n is the ratio of the connecting 2 rod to crank radius, then the velocity of the 62. If the angle of repose is 30°, the maximum piston V is: p efficiency of inclined plane for motion up the  sin2θ plane is : (a) V =ωrsinθ−  p  2n  (a) 50% (b) 33.3%  sin2θ (c) 75% (d) Not possible to (b) V =ωrsinθ+  p  2n  find 63. A plate 100 mm wide and 10 mm thick is to be  sinθ (c) V =ωrsin2θ−  welded to another plate by means of double p  2n  parallel fillets. The plates are subjected to a  sinθ static load of 77 kN. Find the length of weld if (d) V =ωrsin2θ+  p  2n  the permissible shear in the weld does not 57. A shaft of span 1 m and diameter 25 mm is exceed 55 MPa. simply supported at the ends. It carriers a 1.5 (a) 100 mm (b) 150 mm kN concentrated load at mid-span. If E is 200 (c) 200 mm (d) 250 mm GPa, its fundamental frequency will be nearly 64. What is the length of a belt with diameter d 1 (a) 3.5 Hz (b) 4.2 Hz and d and at distance x apart, is connected by 2 (c) 4.8 Hz (d) 5.5 Hz means of an open belt drive? 58. The equation of motion for a damped vibration π (d +d )2 is given by 6ɺxɺ+9xɺ+27x=0. The damping (a) (d −d )+2x+ 1 2 2 1 2 4x factor will be (a) 0.25 (b) 0.5 π (d −d )2 (b) (d −d )+2x+ 1 2 (c) 0.35 (d) 0.75 2 1 2 4x 8 π (d −d )2 x = State vector (n-vector) (c) (d +d )+2x+ 1 2 u = Control vector (r-vector) 2 1 2 4x y = Output vector (m-vector) π (d −d )2 A = n × n matrix (d) (d −d )+2x+ 1 2 2 1 2 4x B = n × r matrix 65. Which of the following is TRUE for a flywheel, C = m × n matrix which is retarding, if T is the torque on the D = m × r matrix crankshaft at any instant and T is the mean 69. In ladder logic programming, an alternative in mean resisting torque? place of using same internal relay contact for (a) T – T > 0 (b) T – T > 0 every rung is to use mean mean (c) T – T < 0 (d) T – T < 0 (a) battery-backed relay mean mean 66. What will be the change in the vertical height (b) dummy relay (in m) of a watt governor, when the speed is (c) one-shot operation decreased from, 50 rpm to 25 rpm? (d) master control relay (a) 0.358 (b) 1.074 70. For the control signal to change at a rate (c) 1.432 (d) 1.79 proportional to the error signal, the robotic controller must employ 67. Statement (I) : Microprocessors which have memory and various input/output (a) integral control arrangements, all on the same chip, are called (b) proportional-plus-integral control microcontrollers. (c) proportional-plus-derivative control Statement (II) : The microcontroller is the (d) proportional-plus-integral-plus-derivative integration of a microprocessor with RAM, control ROM, EPROM, EEPROM and I/O interfaces, 71. Statement (I): The count-up overflow (OV) bit is and other peripherals such as timers, on a 1 when the up-counter increments above the single chip. maximum positive value. (a) Both Statement (I) and Statement (II) are Statement (II): The count-down underflow (UN) individually true and Statement (II) is the bit is 1 when the counter decrements below the correct explanation of Statement (I). minimum negative value. (b) Both Statement (I) and Statement (II) are (a) Both Statement (I) and Statement (II) are individually true, but Statement (II) is not the individually true and Statement (II) is the correct explanation of Statement (I). correct explanation of Statement (I). (c) Statement (I) is true, but Statement (II) is (b) Both Statement (I) and Statement (II) are false. individually true, but Statement (II) is not the correct explanation of Statement (I). (d) Statement (I) is false, but Statement (II) is (c) Statement (I) is true, but Statement (II) is true. false. 68. Consider a system described by (d) Statement (I) is false, but Statement (II) is x = Ax Bu true. y = Cx Du 72. Statement (I): Process control valves are used to The system is completely output controllable if control the rate of fluid flow and are used where, and only if perhaps, the rate of flow of a liquid into a tank has (a) The matrix to be controlled. [CB⋮CBA⋮ CB2A⋮⋯⋮CBn–1A⋮ D] Statement (II): A common form of pneumatic is of rank n actuator used with process control valves is the (b) The matrix diaphragm actuator. [CB⋮ CAB⋮CA2B⋮⋯⋮CAn–1B⋮ D] (a) Both Statement (I) and Statement (II) are is of rank m individually true and Statement (II) is the correct explanation of Statement (I). (c) The matrix (b) Both Statement (I) and Statement (II) are [BC⋮ BAC⋮ BA2C⋮⋯⋮BAn–1C⋮ D] individually true, but Statement (II) is not the is of rank m correct explanation of Statement (I). (d) The matrix (c) Statement (I) is true, but Statement (II) is [BC⋮ ABC⋮ CA2B⋮⋯⋮CBn–1A⋮ D] false. is of rank n (d) Statement (I) is false, but Statement (II) is where: true. 9