MECHANICAL ENGINEERING_1.PDF

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SI. N F-DTN-M-NFDA MECHANICAL ENGINEERING Paper I Time Allowed : Three Hours Maximum Marks : 300 INSTRUCTIONS Each question is printed both in Hindi and in English. Answers must be written in the medium specified in the Admission Certificate issued to you, which must be stated clearly on the cover of the answer-book in the space provided for the purpose. No marks will be given for the answers written in a medium other than that specified in the Admission Certificate. Candidates should attempt Question Nos. I and 5 which are compulsory, and any three of the remaining ques- tions selecting at least one question from each Section. The number of marks carried by each question is indicated at the end of the question. Symbols/notations carry their usual meanings, unless otherwise indicated. If any data is considered insufficient, assume suitable value and indicate the same clearly. Newton may be converted to kg using the equality 1 kilonewton (1 kN) = 100 kg, if found necessary. Neat sketches/diagrams may be drawn in the answer- book itself wherever required. Important : Whenever a Question is being attempted, all its parts/sub-parts must be attempted contiguously. This means that before moving on to the next Ques- tion to be attempted, candidates must finish attempting all parts /sub-pans of the previous Question attempted. This is to be strictly followed. Pages left blank in the answer-book are to be clearly struck out in ink. Any answers that follow pages left blank may not be given credit. ears arfe t.“-tirci< 9 -1 39"-rff k Pro - 4 7 0R-

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Transcript of MECHANICAL ENGINEERING_1.PDF

Page 1: MECHANICAL ENGINEERING_1.PDF

SI. N F-DTN-M-NFDA

MECHANICAL ENGINEERING Paper I

Time Allowed : Three Hours

Maximum Marks : 300

INSTRUCTIONS Each question is printed both in Hindi and in English. Answers must be written in the medium specified in the Admission Certificate issued to you, which must be stated clearly on the cover of the answer-book in the space provided for the purpose. No marks will be given for the answers written in a medium other than that specified in the Admission Certificate. Candidates should attempt Question Nos. I and 5 which are compulsory, and any three of the remaining ques-tions selecting at least one question from each Section. The number of marks carried by each question is indicated at the end of the question. Symbols/notations carry their usual meanings, unless otherwise indicated. If any data is considered insufficient, assume suitable value and indicate the same clearly. Newton may be converted to kg using the equality 1 kilonewton (1 kN) = 100 kg, if found necessary. Neat sketches/diagrams may be drawn in the answer-book itself wherever required. Important : Whenever a Question is being attempted, all its parts/sub-parts must be attempted contiguously. This means that before moving on to the next Ques-tion to be attempted, candidates must finish attempting all parts /sub-pans of the previous Question attempted. This is to be strictly followed. Pages left blank in the answer-book are to be clearly struck out in ink. Any answers that follow pages left blank may not be given credit.

ears arfe t.“-tirci< 9-139"-rff k Pro-4 7 0R-

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Section 'A'

1. (a) The critical buckling load of a cast iron hollow cylindrical column 3 m in length when hinged at both the ends is equal to P kN. When the column is fixed at both the ends, its critical load increases to (P + 300) kN. If the ratio of external diameter to internal diameter is 1.25 and E = 100 GPa, determine the external diameter of the column. 12

(b) A stuntman drives a motorcycle around a circular vertical wall 30 m in diameter. The coefficient of friction between the tyre and wall is 0-6. Determine the minimum speed that will prevent sliding down the wall. Determine the angle also by which the motorcycle is inclined to the horizontal. 12

(c) A hypoeutectoid plain c-steel is heated to 1540°C and then cooled slowly to 725°C. What is the percentage of ferrite and austenite in steel after the process ? Mark the process on Iron-carbon diagram. 12

(d) An 1-beam with the following dimensions is subjected to a shearing force of 20 kN. Flange : breadth = 50 nun, thickness = 5.5 mm Web : depth = 109 mm, thickness = 3.5 mm

Area of cross-section = 9.4 x 104 mm2

M.I. = Ixx = 220 x 104 mm4. Calculate the value of the transverse shear stress at the neutral axis x-x and at the top of

the web. 12

F-DTN-M-NFDA 2 (Contd.)

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tn. `w'

1. (w) coat c.41 talca Fcl4T * N4-4- cimi 3 m t, al l WI IR. .4).wirn 6la TT raw cqiitill77ZPkN*0<1.Rt 174‘1:IFIIT*cri . Wirr-Cfctigi W i l l ta'aikm&F-dTwftqi-4-

(P + 300) kN midi t I itia 91=1T *A7w iti a,T 3971W 1.25 'MITE = 100 GPa t, ff'd Mlle 01 anti 411(1 er-47 I 12

(VO 7- tinclimi‘Fit-iitt e a wf€vTelly q cot qZf ifeogiti 30 m t (nth %tenth tic clic 741 d144( k TNT Ensfur tilich 0.6 t 1 3!T RI9-61T are wra- *F4q*u4 rid er cicm, ki cbc Ali Ek uR. Qui ** Rri77 *z-c ITS 41dq- 4 vs-Rt tl 12

(TT) CrT 1 V-1.14kete-I0. Off qthiri itvlc1 1540°C iW MT WC* 725°C WT Efit 46 fcben P11 t 1 W trsa7 E-mici 4 kure air 3T rid * ‘ARN-ra- wra- *ARi W v*r TEctTd--cniefii 3Tt qZ 3tfwa- *1-47I 12

(w) 7T I-9T9' WC, %TA &9141;tt-lpirzcid t, 20 lcN 31qVEPTI c Ming( 1711 t I

: 91-41-{ = 50 mm, TI)7( = 5.5 mm 4-er = 109 mm, Thiar{ = 3.5 mm ITR4qi arri W1 4-1ch7. = 9.4 x 104 mm2 45c'cl antri = I = 220 x 104 mm4. 3.4itth arEiT x-x Tarr 4-er k *If tr-c arvesr 1:1€7T 919-07 4 I'IHI g I 12

F-DTN-M-NFDA 3 (Contd.)

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(e)

A band brake is used to stop a machine. The brake band is in contact with the brake drum through an angle of 250°. The coefficient of the friction is 0.3. Determine the force P required to develop the braking torque of magnitude 400 Nm. The arrangement is shown in the above figure. 12

2. (a) (i) 1. Define interference in involute gears.

2. How do you prevent interference ?

3. Determine the minimum number of teeth required on a pinion, in order to avoid interference which is to gear with an equal wheel. The pressure angle is 20° and a standard addendum of 1 module for the wheel may be assumed. 2+3+10=15

F-DTN-M-NFDA 4 (Contd.)

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44-4 f4-7 wr che-0 4-4-r t slm s ,;ch 74 4 250° dczn H44

q4T-d1 t wiui 1141-- 0-3 t 400 Nm Air 4Mtri i:ichRto W*4 kici3Tra.4Lpi-i *1 P

rr77 I .1;1 • -q- 4 Rum rprrt 12

2. (T) (1) 1. •- •31 W: 04-16-Kul

trk4fisr4Rif-471

2. 47 ogRilik t)- 4k-14i0-1 ,1-)*4-*-4t 1

3. rzh 51979- k R744 t-i41 4 to Q-D-7 fq-9r srT ,v1-(1.1* Rrzrc t Uff *4, t-14) I q1c4 all 20° t Mir Riti& 4-114-1q) 1 ITIWR

1-m4rti Tf ti4xll t I 2+3+10=15

F-DTN-M-NFDA 5 (Contd.)

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(ii) 1. Sketch the arrangement of a reverted gear train comprising of gears A and

D mounted on co-axial driving and driven shafts, respectively. Gears B and C are mounted on a parallel counter shaft to mesh with gears A

and D, respectively.

2. The speed ratio (driving speed ± driven speed) in the reverted gear train of above arrangement is to be 14. The module pitch of gears A and B -

are 3-125 mm and of gears C and D are 2.5 mm. Calculate the suitable numbers of teeth for the gears. No gear is to have less than 24 teeth. The centre distance between the counter-shaft and driving

shall is 200 mm. 5+10=15

(b) A cylinder having mass 40 kg is hung by means of cables Al? and AC which are

attached to the top of the vertical wall. The

distance of points B and C on the wall from a

line along the wall parallel to the axis of cylinder are 8 m and 10 m respectively. A horizontal force along the line perpendicular to the wall has been applied at the cylinder which pulls it by a distance 1.2 m away from the wall. The point A is on the cylinder and it is

10 m below BC. Determine tension in each cable and the force applied at the cylinder.

20

F-DTN-M-NFDA 6 (Contd.)

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(ii) 1 rcf: Ttcer44r 4KR lirtr .047 flq NTIlk 'Rig* A c1 I D

ERR+ lici* 7,4 ;UMW Alta tR t I fit B ?PIT C toilot

*OW: tR sT0F17 *giqt A MIT D shi-PT: 3171-47 t

2. .6,4t 4I4t 411el1 4. 91W

aPTTI7 (t m* Wrtika- '4M) 14 t ! ?TT( A MIT B ¶r ITITIF Ackici 3.125 mm all1" fiiq4,C7?-4TD Tit77 EcKiel 2.5 mm P.? I "fzierilF11117ff

t14,411 TIM . 11-Art I fcm.11 firtrc anal *r eit.q1 24 4 Tir arFF

ql,:td. MIT yPi it

200 mm I 5+10=15

(T4) 'crW ffrf47( t f717-1471 40 kg t di.) AB Ac 4 oda-4Ln 1N1 t *t-k-T Tt7hTT

t Prtait unT c Per,

Re-47T sTCi b4-1t ,-(it 41TR TR kT4T 4 8 m o 110 m I 1;* aftI• q7 IC v tR aleck s.iord 4741- t t zgr ,-.fi/TT 4 1.2 m TT G4i A uirt TIT t MIT %It 17.7T BC 4 10 m 411 t V-4--4-;797 4 TT-el- ci RTF-4.7-c, is

W-f TT 1419- wild tifili7, I 20

F-DTN-M-NFDA (Contd.)

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(c) (i) How are the thermosetting plastic pro-ducts processed ?

(ii) Name two polymerization processes. 10

3. (a)

22 cm

25 cm

Compute second moment of area of the plane lamina shown in the above figure about an axis parallel to the base and passing through the centroid. 20

(b) (i) A hollow shaft having an inside diameter 50% of its outer diameter is to replace a solid shaft transmitting the same power at the same speed. Calculate the per-centage saving in material if the material to be used is also the same. 10

F-DTN-M-NFDA 8 (Contd.)

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(i) 71E1T4 ' 71F-e74C UNTe¶r WITI"

tar ?

(ii) t 4i4tiiiletccor 9v* 9T4 tri IR- I 10

22 cm

23cm

thLk 1114%7 lig t 4ICR1 Liem A 74 arraR* tRIPTIt 4 tr-1R ‘71I 3Rikffi449- Rtilt ew 37714116 M.-=A-7 I 20

(kE0 (i) ti)74 Owe A-, fr f 3ficikm offiti

14W eqlti W. 50% t, dl±i °T:IE 9 cuii 40 kW t WC

"t1" mk-Fra- tA I 4iR OvarY vzim. Er-4-0 fi7 tr-4-Pf

f-'pra- .410 4 tftrt I 10

F-DTN-M-NFDA 9 (Contd.)

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(ii) A dose coiled spring has coil diameter to wire diameter ratio of 6. The spring deflects 30 rnm wider a load of 500 N and the maximum shear stress is not to exceed 350 MPa. Find the diameter and length of wire required. Modulus of rigidity of wire material = 80 GPa. 10

(c) Compare the main characteristics with regard to their hardening and magnetic properties of arious stainless steels. 10

(d) Four masses mi, ni2, rn3 and m4 are 160 kg, 225 kg. 200 kg and 312 kg, respectively. The corresponding radii of rotation are 0.25 m, 0.2 m, 0.3 m and 0.25 m, respectively. The angles between the successive masses are 45°, 75° and 135°. Find the position and magnitude of the balance mass required. if its radius of rotation is 0.25 m. Presume that all masses including the balance mass rotate in the same plane. 10

4. (a) (i) Compare the flexural strengths of the following three beams of equal weight.

I. I-section 300 mm x 150 mm with flanges 20 mm thick and web 12 mm thick.

2. Rectangular section having depth twice the width.

3. Solid circular section. 15

F-DTN-M-NFDA 10 (Contd.)

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4:6t4it :kpr-ft -g--:3ir Rd 769: 7117i A 741;1717 6 cF4-11-1 500 N 7.fir1/2 IT< mm t al■IT

311c-Itc711 :11:1TxTuT N-Pit• 350 MPa T -:::■-fThs- 9-ti {ril t. 13T173wa, cR¶1muu

7?-11- &ART I c-IR i'refT ITITTht = 80 (iPa I 10

(TO rift >P ii Zelicit fe7.7 oho tictiVn 1-zzlAti Tri1111 4- 4 4 ,Itchq 31f4-R-4-Taff 41- rffT ff ,I 10

(7) .c,-011-49)" mi, m2. m, 9"-TT m4 sni-14T: 160 kg, 225 kg. 2(X) kg 72-TT 312 kg t I c-K1(41 Tiff -SW-4 0.25 m, 0.2 in, 0.3 m 0.25m f I sh4-11411 #1- 414 k ch)ui 45°, 75° mu- 135° tI aria)-Ill Ito<41-11i =?*. MIT gicrfTur WcT 774-A quidRAT 0.25 m t I zrt Mff A-1:71L tin g-4 4F-0 c.41411 Rrrf Trrra79- 'Tiff r t I 10

41. (MT) (i) PP-AP:id city Cikrft, f$9-tT '4TTC crt WRTPI t, 4-*7 MIT7-4 ft till 47-r F4v, I. 300

x 150 mm -11-cri7-44'f*1* 20 mm *rat W4T 4-eT Thu{

12 inm 2. 3174-114;177 PATIA 177{ art

t Ott I 3. el-4 170=4-77 iTIT-8?,- 15

F-DTN-M-NFDA i 1 (Contd.)

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(ii) A cantilever. 3 in long, and of symmetri-cal section 250 mm deep carries a uniformly distributed load of 30 kN per m run throughout, together with a point load of 80 kN at a section 12 m from the fixed end. Find the deflection at the free end. Take, E = 200 GPa and I = 54,000 cm4. 15

(b) (i) Discuss criteria of stability for spring controlled governors. 5

(ii) The sleeve arm and the ball arm of a Harme11 governor are 9 cm and 10 cm long respectively. At mean position of the sleeve, the equilibrium speed is 300 rpm and balls rotate at the radius of 12 cm. The mass of each ball is 2 kg and the sleeve movement is ± 2 cm from the mean position. The minimum speed is 96% of the mean speed. Determine the stiffness of the spring and the maximum speed of the governor. 15

(c) A particle has initial velocity of 30 m/s towards the right at 30° with the horizontal. The retarda-tion along horizontal axis is 1 m/s2 and along upward vertical axis is 6 m/s2. Determine the horizontal distance covered until the particle reached a point 30 m below its original eleva- tion. 10

F-DTN-M-NFDA 12 (Contd.)

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(ii) 3 m""4"" 74 kTERIff tilt-oaq fr 250 mm

4rEti{ fr 9iti tr*-9- '7 30 kN/m TT tiquf

klffirt 4127 qiK ffqr qalk

1.2 m ETT 80 kN TT #W. sift

Fri t I t ITiTW 1th fi wr faLkiT Wfff

f1177 I E = 200 GPa ?P-IT I = 54,000 cm4

m7" I 15

M (i) wITAW-i-a- stfar9thw pirFqw Tula

ce-11(0L11 Rrr77 I 5

(ii) @IcPM ancepti- e t4 i IT-A-r

T-TT 111F6M-T TAT4 9 cm MIT 10 cm rim!

et 104 HIFEr21ft 4 Tmzrfferr tuei

300 rpm t MIT 4ilkithi4 12 cm fr

TIT Tri9" TTthil 9-0T 4)-Dwr wr t,144111

2 kg t MIT #TE-Er -1.4 TT fi€4179.

± 2 cm t I 1]18:( lid TT 96%

t I TM* Fir MIT eur-diriT it

41-4-*--d-IT frr77I 15

(Tr) chul 4T 31-k-ftw krr 30 m/s aira dt‘h fura-4

t 30° t(K t IOfd7 3T4T Rut attrwut

1 mis2 t Tqr -t-a-tu-< &A& ft Rur 4 6 m/s2 t 1

Tyr a.ItI 9IH 19-1 30 m fik4.10

gi<1 ff-cr e ,I{ af-a7 t4:1 yin*F.-4g I 10

F-DTN-M-NFDA 13 (Contd.)

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Section 'B'

S. (a) Define "tool life" and list down four methods for quantitative measurement of tool life. 12

(b) (i) With the help of an example, clarify the function of a clamp in a fixtures

(ii) Sketch a cam type clamp and suggest its two applications. 12

(c) Explain how flatness of a surface is measured with an optical flat. 12

(d) Following table shows the predecessor relationship of the activities in an assembly line. The output is 200 units per day and operating time is 450 minutes per day. Using the most successors rule to assign tasks to work centre and longest work time rule as a tie breaker,

(a) group the tasks into work centres and

F-DTN-M-NFDA 14 (Contd.)

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5. (4) ‘311-4R 39' i1:ifr.4-FERT ,41q EzTT 3S awl HilicHcb meip4't*fs7art fifirc4 it Traa-4

itnr47 I 12

(w) (I) 7-4s .dqi ,cui it tttLidi 4 KIN* 4 WIWI!

Cbl 91-477. ftEA.7 I

00 7w t-q9-Fcr fiiwni aT wrrri7 atir

tid ar.ivATI-I is 7'[T, I 12

(an 54-ifiT4 TN it tii-Rimcti TT

1441141 t* fq-411 WET t, NEQV47 I 12

(ti) rvd Tif af4wr fTffi- 74.Pirth mivi -ftict

cheir-ii 1-44dT 44u..4 it frgRrr Tgrr t. I -14

200 1,4., eflf4W aITT 9-Tffff EMT 450 +fridgfa

t. l 4 *14 f Tiftd wt-4

fralart 4-(7-4 fives TT 1A414( eta F WM' Ira A- chic., Piqg fq41,41 tq van me tirr; ,

r% LTt chiq 44 MIT

F-DTN-M-NFDA 15 (Contd.)

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(b) compute balance efficiency, idle time and balance delay.

Task Predecessor Time (sec)

A — — None 40 B — A 20 C — — None 60 D — 40 E — 30 F — — None 35 G — — None 45 H — 60 I — 40

12 (e) What are the principles of motion economy

related to work place ? If these principles are adopted in design of work place, what will be the advantages ? 12

6. (a) (i) A hole is to be drilled in a high-strength copper alloy workpiece with a 10 mm bit at a feed of 0.2 mm/rev. The spindle speed is 500 rpm. Estimate the material removal rate and the torque required for this operation. Take specific energy value of the work material as 1.9 w.s./mm3.

10 (ii) Discuss in brief the mechanism involved

in grinding wheel wear. Why aluminium oxide and cubic boron nitride abrasives are suitable for grinding of steel, but silicon carbide or diamond are not ? 20

F-DTN-M-NFDA 16 (Contd.)

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(4) af ter, f1fWW1 44(1 atri Wag- ke. fr 4 1 1'111'11 Ar-AQ; I

wit Firm- (arna)

A Tt{971 - - 40 B - - A - - 20

TTht - - 60 D - - C — — 40 E D - 30 F - - 35

- 45 H - - G - - 60 I - - 40

12 (T) withzar"Hg1i 4 1 d 4104 411*W417 TRT

? ishi4e-fM arf4--749- > ‘.9. firta1 eflikfTzrr AN 91 Grit 9-r4 6141 ? 12

6. (T) (i) RA- 77-kurr4kd'ku locum

(rid A- vich 0.2 mm/rev 91-T7T cIT ftzIT ,TINE t 9-4 bIM 500 rpm t I cff wiR- Erg ['levy' -Ta4Tarr-A-4TrTq-9-74 at AM RiFA7 1 mid 4-4-r4 4't frNTE thAt aT 1:17 1.9 w.s./mm3 t I 10

(ii) 31titrivr Err7 -FERTra- qiefl *Err RN Tr 444 4 gullQf-A-7 3fCrErISM i-ilr-Roi arrwr7utrr*iioich

•1-4'*1 1Z5 341171514: at1 941 mtcl t trT R:Tfria-.1 micas s alt1-4T WITT A-

? 20

F-DTN-M-NFDA 17 (Contd.)

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(b) (i) Explain in brief, with sketches, the pressure and vacuum gap flushing techniques used in EDM. 10

(ii) Which one of the above will result in a more accurate cavity ? Give reason. 5

(iii) Also discuss how the gap flushing condi-tions may be improved while drilling small holes. 5

(c) Find the sequence that minimises the total elapsed time required to complete the following jobs. Each job is processed in the order ACB.

Processing times in hours

Job No. 1 2 3 4 5

Machine A 5 7 6 9 5

Machine B 3 7 5 6 7

Machine C 2 1 4 5 3

Determine the sequence of the jobs, makespan and idle time of machines. Illustrate the method of solution and assumptions taken. 10

7. (a) (0 What is understood by the statement "Process under statistical control" ?

(ii) State the conditions when the process is considered statistically out of control on the basis of theory of runs ?

(iii) What is JIT ? What are its objectives and key elements ? Illustrate in brief the single card Kanban and two card Kanban systems. 5+10+15=30

F-DTN-M-NFDA 18 (Contd.)

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(TT) (i) r,ITT 4 T-44 4g Ark ar4 4T-4 mu fAtSi-C*74 97749. UT-a it Rs4 afelIcht 40:r 4 tsinilw i 10 urizfr» gill frT tc fafsr 3iftiW Zitriti

cleIN+11 ? chltul Wdr-47 I 5 (iii) 3,T451 cLut:i41 4f47 afT*1141- 91iTt

4r4P4Pi4i 4r" f;.9 kuff 4 *4 TT( t ? 5

(n) Nd 441 kiW 4ta f7 3ff arrT Qg!tc-f 4tf-47f 1 (i0 1101V fITRT ROV

941 i 9 ch14 it ACB WIT 4 Tu rVIT igrr

snnur Trim tie 4

chic( Wc)41 1 2 3 4 5 =al" A 5 7 6 9 5 TPTI-4 B 3 7 5 6 7 ;PA ff C 2 1 4 5 3

wrql ai 39n fr-gth TZTT 1:nff9 ftifNshqui 41w 41m 4147I f M 4 MT .icwur e4c-1 FE Q.F.A7 MT-1 kicwitilaff fir .Jcata trr77 I 10

7. (T) (i) TT( chiri QUTO:Pf Wit " WIT tiii;444 Fd-4--Aur 4" ?

(n) TiT fT,-41-976 ity cidIV qW 9n 4. elf 0,:d4ch Thirivr Gma 41.6icr* 31-ruTT tFT TIT9- 411dI t I

(iii) 31-r. a ? TErk3y zT uzir law eN41 ? 401- 7wff

f 404 4-49- Ted* Tfak-a4 fifwg I 5+10+15=30

F-DINI-M-NFDA 19 (Contd.)

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(b) (i) Compare the process capabilities of Shielded Metal-Arc Welding (SMAW) and Submerged Arc Welding (SAW) processes. 15

(ii) How thick jobs (> 20 mm) may be welded by SMAW process ? 5

(c) What are the objectives of an efficient facility layout ? What are the principles to be adopted to achieve these objectives ? Compare product, process and cellular layout. 10

8. (a) (i) What is the significance of (1) angle of nip, and (2) angle of bite during rolling operation ? How are they related to roll friction ? 10

(ii) Classify the process of extrusion with the help of sketches. Enumerate the conditions under which central burst may occur. Where does a 'pipe' occur ? 15

(iii) What is "friction hill" ? 5

(b) (i) A firm manufactures a product whose selling price is 10. It has a capacity of 10.000 units. The variable costs are

2.50 per unit. The fixed costs are estimated at aT 30,000 up to 50% capacity utilization, T 36,000 above 50% level, and 42,000 if the utilization is 80% or above.

F-DTN-M-NFDA 20 (Contd.)

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(q) (i) trie47 trg-air* acsH (7F 71:r 7 rf) wzrrPiiird 31Ak (747 :y) mstoi Mrzrapff *9 c1Mh1Rrf7 I 15

(ii) afftw 4i12.cni41(> 20 mm)*T7Fr 71:1-7 79, TOT qICT 4-RR- Pm( 9MIC Phqi Hcbcii fie ? 5

(Ti) 7i qv earn eezr t ? eel): 9-ru cht * 197 1-*-9. Rrea it 379-F1

arF- 7 ? acvla, 5w;r uzi-r q,14-zr R-rrEer yMHI

Rrr-m7 10

8. (W) (i) arMtiWIT q (1) fit( rnlui, Uzi( (2) ctl‘d Qut T TIT H cq t ? ttchi trifur# qzu ki*.T t ? 10

(ii) Ztvi fgal it 4 a 9-wiT a~lf4+t erwg 39- to v641. air u4cEr err-47as 4 9170-e ticndi •tri‘te iru-offf .441 cif) t ? 15

(iii) "Ertsfur azTT ? 5 (9) (i) Kn-gf t dr41‹ calm') t fir fasn4

Tgr T 10 t I7-4t effur 10,000 7*-0

t I 'TR-44 M141(1 T 2.50 Y*4cnct, t I 50% cam' wiffr e44141 Ala vz if4t cyrct 2 30,000 t, 50% 4 Sift aTTMT .1,141 di ITT 36,000 3117 80% 36TT WC T 42,000 t I

F-DTN-M-NFDA 21 (Contd.)

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a. What will be the operating profit of the firm at 70%, 80% and 90% utilization ?

b. What is the lowest level of activity at which the firm can make a profit of

18,000 ?

(ii) What is detailed work factor system of PMT ? List the common areas of its application. 10+10=20

(c) y

x

In the above figure define the lines Lt, L2, L3 and L4 in the APT language. 10

F-DTN-M-NFDA 22

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a. Th-lf MIT 70%, 80% rill

90% WET 34411-9cii 4ZR-97T 6)40 ?

b. 7,If 421 ,13-•lc14-1 4-11:MT (-kit Wcf7 e 18.000 MIT MA ?

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10+10=20

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