1. A beam is having language cross section with its neutral axis XX. The section modulus about XX is given by




b

2 22
bh/ 6 (bto1i136 bh/ 24 hb/ 36
2. A rectangular column is subjected to an eccentric load P at distance from centroidal Axis. The stress diagram at Cross-section will be
-Ve -Ve -Ve

-Ve +Ve


3. Two shafts A B are ,made ofsame material. The radius of the shaft A is half that of shaft B. The power transmitted by the shaft A will be of shaft B.
1/8 times 8 times sixteen times Twice
-_...
4. Four linear elastic springs are connected to mass as shown in Figure. The natural frequency of the system is

(-Y4k13m)


(-I4k1m



(-Y3k14m)





....... .. "



5. Which bearing offers lowest friction

hydrostatic Bearing Roller Bearing


Aero-static Bearing Hydrodynamic Bearing


6. A circular disk of radius R rolls without slipping at a velocity V. The magnitude of the velocity at point P shown in th-e figure is


VI2 V
7. In the viscous damped vibration, the logarithmic decrement value over five cycles is found to be 8.11. What is viscous damping factor of vibratory system?
20% 25% 30% 15%
8. An elevator weighing 1000Kg attains an upward velocity of 4m/sec in two seconds with uniform acceleration. The tension (in in supporting cable will be (g=9.8m/sec2)
1204 N 9800 2000N 11800N
......-.....
9. A block weighting 981 N is resting on Horizontal surface. The co-efficient of friction between the block "and horizontal surface is J.1=0.2. A vertical cable attached to block supp()rtas shown. A man can pull horizontally with a force of lOON. What will De-the tension the cable if the man is just able to move the block to the right?

176.2 196.0 481.0 981.0

A-vehicle suspension system consists of a leaf-spring and a damper. The stiffness ofthe leaf spring is 3.6KN/m and damping constant of the damper is 400 Ns/m. lfThe mass is 50Kg, then the damping factor and damped natural frequency respectively are

0.471 and 1.19 Hz 0.471 and 7.48 Hz .


0.666 and 1.35 Hz 0.666 and 8.50 Hz


11. A rotating disc of 1m diameter has two eccentric masses of 0.5 kg each at radi of 50mm and 60mm at angular position of 0° and 150°, respectively. A balancing mass of 0.1Kg is to be used to balance the rotor. What is the radial position of balancing mass?
50mm 120mm 150mm 280mm
12: Two mating spur gears have 40 120 teeth respectively. The pinion rotates at 1200 rpm and transnyt torque of20Nm. The torque transmitted by the gear is
6.6Nm 20Nm 40 Nm 60 Nm
13. The figure below shows a steel rod of 25 mm2 cross sectional area. It is loaded at four points, N. Ass,um'e E steel 200 GPa. The total change in length of the rod due to loading is

l/lm -10 /lm 10 /lm -20 /lm

Mechanical-2012 Set-A
-t4. is in contact with the fixed gear as shown in the figure. The number of rotau(WS-lJ.laoeby the planetary gear for one rotation of the arm is

1 1/3
15. The Mohr circle reduces to a point when the body is subjected to



pure shear uniaxial shear only


equal axial stress on two mutually perpendicular planes and the planes being free of shear


equal and opposite axial stress on two mutually perpendicular planes and the planes being free ofshear


16. Shear stress distribution for a rectangular beam subjected to transverse loading is
.



L v

©



17. Area moment of inertia for the quadrant shown below is

4444

18. A column of length is fixed at bottom end and hinged at the other end. This
... at 1/3 rd height. The buckling load is given by

tnl

NI LATERALLY

RESTRAINED HERE


. 19. A shaft has two heavy rotors mounted on it. The transverse natural frequency considering each rotor separately is 100 hz 200 hz respectively. The lowest critical speed is
13000 rpm 5367 rpm 6450 rpm 9343 rpm
20. A mass is suspended from a ceiling through a string of length This mass
moves in a circle of horizontal radius at constant speed such that it is a conical
pendulum. The tension in the string will-be


mgLl-.JL2 mgLl-.J7 21. The stress in the rod AB in the pin jointed truss ABeD is




4P hr:d2 0 P 12nd2
22. The number of degrees of freedom for the following is

0
23. A plate is held by a chain AB through hinge joints. The plate is pulled with a forceT as shown in figure. The tension in the chain is given by


1/11/117/11/
T T T/2 3-Y2 T

Mechanical-2012 Set-A
24.-I.n....a,1urn bucklelOint, both mating-r-ods-will have

Right hand threads Left hand threads


Right hand and left hand threads Multiple threads


25. In a flat belt drive, the belt can be subjected to a maximum tension and centrifugal tension The condition of transmission of maximum power is given by
T=2Tc

26. The diameter of a soap bubble which has an inside pressure of 2.5 N/m2 over the· atmospheric pressure and a surface tension of 0.0125 N/m is
mm mm
27. Find the loss of head due to friction in a smooth pipe of rectangular cross section of 1m x 0.5m and 10m long. Velocity of flow is 10 mls and the friction coefficient is 0.01962.
m 6m m m
"
28.
When a supersonic flow is admitted into a convergent, the flow will

29.
Which configuration measures the stagnation pressure?


(a)Accelerate Decelerate No change None ofthe above




30. The maximum lift in a centrifugal pump would be close 1-0 if the -P.llID-l! is_
handling cold water.-(250C) from an open tank at sea leverWith no friction and turbulence loses, where is equal to
10 m 1.03 m 100 m Ed) 30 m
31. Both pressure and velocity of steam drops in the moving blades of

Impulse turbine Velocity compounded impulse turbine


Reaction turbine Pressure compounded impulse turbine


32. A model of a golf ball is to be studIed to determine the effects of the dimples. A sphere 10 times larger in diameter than an actual golf ball is used in the wind tunnel study. What speed should be selected for the model to simulate a prototype speed of 50

0.2m/s 5m/s 50m/s 10m/s
33. The sound of explosion on a ship located 10km away from the beach heard 28.6 seconds after the explosion was seen. Estimate the temperature of air at that time.

288.5K
31 K

34. A spherical balloon is filled with helium at sea level. Helium and balloon material together weigh 500 N. Ifthe net upward lift force on the balloon is also 500 what is the diameter of the balloon?
5.42m 6.78m ... 3.43m 234m
35. Air at 200eand 105Pa enters the bottom.ofan ·85° conical flow meter duct <it a mass flow rate of 0.3 as shown in the figure. It supports the centered conical body by steady annular flow around the cone and exits at the same velocity as·if enters. Estimate the weight ofthe body in Newtons

2.5N IN c) 3.5N d)4N

36. A jet of water-issues-from a nozzle with a velocity 2O-m/s on a..flat plate moving away from it at 10 m/s. The cross-sectional area of the jet is 0.01 m2 and the density ofwater 1000 kg/m3• The force developed on the plate is
1000 N 100 N 10 N 2000 N
37. The laminar boundary layer thickness varies as
x l17

38. An increase in pressure ofa liquId from 7.5 MPa to 15 MPa results into 0.2 percent decrease in its volume:-Tfie coefficient of compressibility of the liquid in m21N is

x 10-9 1 x 10-9 None ofthe above.
39. A reservoir of capacity 0.01m3 is completely filled with a fluid of coefficient of compressibility 0.75 x 10-9 m21N. The amount of fluid that will spill over (in if pressure in the reservoir is reduced by 2407 N/m2 is
1x 10-4 1.5 x 10-4 0.15 x 10-4 None ofthe above
40. The extent of pressure produced due to water hammer depends on

Velocity offlow Qffluid in the pipe


length ofthe pipe
time taken t6Clbse the valve;_gradual otquick closure ofthe valve



All the above


41. Rank of the matrix

23 is

1
a 1

IMechanical -2012
Set-A
42.--T-he value oft for which A tB is perpelfdicular to C where i 2j 3k, and C=3i
5 12 0
43. AxB is a vector

Parallel to but perpendicular to B


Parallel to but perpendicular to A


Perpendicular to both A& B


Parallel to both A B


44. The equation of the plane through the line
x-I y-4 z-4
parallel to the line

x+l y-l z+2
is
2 1


3x 2y -2z 101 2x-4y z 98


6x 7y 16z=98 6x-8y-2z=101


Q
45. Let E and Fbe any two events with peE U 0.8, peE) 0.4
and P 0.3. ThenP(F)is .


3/7 4/7 3/5 2/5


0.900 1.001 0.802 0.994


A6._The approximate value ofy(O.l) from dyJdx x2Y_l, yeO) 1 is
-47. i is equivalent to
fie -vle i7l:!4 2e 2e in/4
48. In a class of 45 students, the mean mark of 25 girls is 32 and the mean mark of 20 boys is 27.5. What is the class mean?
32 27.5 29.75 30


....c..._

49.-If-L then the value of L is
F F F

50. The probability that A happens is 1/3. The odds against happening ofA are

51. Draft on pattern for casting is provided for
Shrinkage allowance Identification

Machining allowance·
52. Welding spatter is
Welding defect Flux Electrode Coating Welding technique
53. Which of the following statements is false about annealing? Annealing is done to

Harden Steel slightly Relieve Stress


Soften metal Permit further cold working


54. The property ofcorrosion resistance of chromium Stainless Steelisdue to

.........._ (a)Predominantnature ofCrpresentinstainlesssteel


The formation ofthin film of oxygen moisture absorbed from the atmosphere


The formation of a thin film of Cr203 on the surface of steel


The inherent property ofCr to resist corrosion


55. Hot working operation is carried out at

Re-crystallization temperature Near plastic stage temper-ature


Below re-crystallization Above re-crystallization



56. The engineerirrg-and-rrue strains for a bar which is doubled in le-ngth during tension test are
1.0,8 =0.693 8=1 e Yz, 8 Yz None ofthe above
57. The purpose of adding wood flour to the moulding sand is to improve
Green strength Hot Strength Collapsibility Permeability
58. Stretch forming is a'process in which

All deformations occur in the direction of stretch (b)All forces are applied in the direction of stretch


Advantage is taken ofplastic state indicated due to stretch


No dies are used


59. In which type of welding, a pool of molten metal is used?
Submerged arc welding Electro slag welding TIG welding MIG welding
60. A mild steel· block of width 40mm is being milled using a straight slab cutter 70mm diameter with 30 teeth. Ifthe cutter rotates at 40 rpm, and depth of cut is 2mm, what is the value of maximum .wIcut chip thickness when the table feed is 20 mm/min?
0:-00263mm. 0.00363mm 0.00463mm 0.00563mm
61. Match the list I with list II arid select the correct answer from the codes given in the lists below .
List I List II (Measuring instruments)' (Applications)
A. Talysurf 1. T slots
B. Telescopic gauge 2. Flatness
C. Transfer Calipers 3. Internal Diameter
D. Autocollimator 4. Roughness Codes
ABC D
1 234
4 3 1 2
4 3 2 1
3 4 1 2

-.'...:..,-.....
Mechanical-2012 -Set

.
. <1>35-0.009/-0.025 h . . I tid'
62. A shaft has a d· ,t e respective va UI. I.Unuamen a eVla IOn
nnenSlOn
and tolerance are

-0.025,0.008 -0.0025,0.016 -0.009,0.008 -0.009, 0.016 .
63. When a material sustains steady loads for long periods of time, the material may
continue to deform until they may tend to fracture under the same load. This
phenomenon is known as

Creep Fatigue Impact Malleability
64. Which one of the following is a wrong statement?

In low carbon steels, phosphorus is added to raise its yield point


Lining ofopen hearth furnace controls impurities in steel


Blast furnace uses coke as fuel


Manganese is added in blast furnace for better fluidity


65. The most popular and standard type for all purpose tool steels is 18:4:1 High Speed Steel (H.S.S.), which contains.

18% chromium, tungsten and vanadium


18% tungsten, vanadium and


18% tungsten, chromium and 1%vanadium


18% vanadium, chromium and tungsten


66. Water is boiled at lxl0s Pa pressure in a coffee maker equipped with an immersion­
.--...-.-..-.-type el.ectrie-h.eating,-el.em.enL The coffee maker initially contains 1 kg of water. Once boiling started, it is observed that balf of the water in the coffee maker evaporated in 18 minutes. Ifthe heat loss from the coffee maker is negligible, the power rating of the heating element is
0.90 kW 1.52 kW 1.05 kW 1.24 kW
67. An adiabatic heat exchanger is used to heat cold water at 15°C entering at a rate of 5 kg/s by hot air at 90°C entering also at rate of 5 kg/so Ifthe exit temperature of hot air is 20°C, the exit temperature of cold water is

85°C

Mechanical-2012
68. Logmean area can be given as.
logA2-logAl A2-Al logA2-logAl
None
A2-Al LQg A2-logAl . log(A2/ AI)
69. Nusselt number is the ratio of .

Convective and Conductive resistances


Conductive and Convective resistances


Wall heat transfer rate to mass heat flow rate


Kinetic viscosity to thermal diffusivity


70. Zeroth law of thermodynamics not va.lid for the following

50 ml of water at 25°C is mixed with 150 ml ofwater at 25°C


500 ml ofmilk at 15°C is mixed with 100 ml ofwater at 15°C


5 kg ofwet steam at 100°C is mixed with 50 kg ofdry and saturated steam


10 ml of water at 20°C is mixed with 10 ml of sulphuric acid at 20°C


71. When air expands from initialpress.ure PI and volume VI to final volume 5VI following the law PVn=c .

greater the value ofn, greater the work obtained


smaller the value ofn, smaller the work obtained


for the work obtained is the greatest


for n=1.4,the work obtained is the greatest


72. Air is compressed to half the volume at constant pressure the change in entropy
increase decrease does not change not predictable
Mechanical-2012 Set
is shown below on P-V diagram
B C
p N
adiabatic A
v

This cycle is represented in T-8 diagram by

c
T
T

A
A c
s
s

A B
B
T .T
A C

ss

74. If2 bar of air at 27°C is heated to 177°C at constant volume, the pressure will be
6.56 bar 3 bar 9 bar 13.11 bar
75. A friction less heat engine can be 100 percent effiCient only if its exhaust temperature is

equal to its inpuUemperature less than input temperature


0K



76. An ideal engine absorbs heat at 127°C and rejects at 77 °C. The efficiency is
13% 39% 50% 40%

ORGANISATION Page 15 of16
..

Mechanical-2012 Set-A
71. A Francis turbine running an-oO rpm d-evelops a power ofso-onw under a head of 2Sm. The power output under a headoUOO m will be
20,000 kW 30,000 kW 40,000 kW 50,000 kW
78. Steam expands in a turbine from 40 bar, SOO °c to 0.10 bar isentropically. Assuming ideal conditions, given enthalpy drop 1198.8 kJ/kg, nozzle angle 16° and N as 300 rpm. Mean diameter of the wheel, if the turbine were of simple impulse stage, will be
3.73 m 4.73 m 5.63 m 4.96 m
79. A refrigerator removes heat from a refrigerated space at -SoC at a rate of 0.3S kJ/s and rejects it to an environment at 20°C. The minimum required power input is
30W 33W 56W 124W
80. For the same compression ratio, the thermodynamic cycles in the order of decreasing efficiencies are

Dual, Diesel, Otto Dual, Otto, Diesel


Diesel, Dual, Otto Otto, Dual, Diesel


.
"." ....:.:..:;......