Will you please share the previous year question paper of GATE - Mechanical Engineering Exam?????

As per your request here I am sharing the previous year question paper of GATE - Mechanical Engineering Exam

In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the material removal rate
(A) increases continuously.
(B) decreases continuously.
(C) decreases, becomes stable and then increases.
(D) increases, becomes stable and then decreases.

During normalizing process of steel, the specimen is heated
(A) between the upper and lower critical temperature and cooled in still air.
(B) above the upper critical temperature and cooled in furnace.
(C) above the upper critical temperature and cooled in still air.
(D) between the upper and lower critical temperature and cooled in furnace.

The following are the data for two crossed helical gears used for speed reduction:
Gear I : Pitch circle diameter in the plane of rotation 80 mm and helix angle 30º
Gear II : Pitch circle diameter in the plane of rotation 120 mm and helix angle 22.5º
If the input speed is 1440 rpm, the output speed in rpm is
(A) 1200
(B) 900
(C) 875
(D) 720

A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is
(A) 0
(B) 1
(C) 1.08
(D) 2.02

Q. 1 – Q. 25 carry one mark each.
Q.1 In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the
material removal rate
(A) increases continuously.
(B) decreases continuously.
(C) decreases, becomes stable and then increases.
(D) increases, becomes stable and then decreases.
Q.2 Match the following metal forming processes with their associated stresses in the workpiece.

Metal forming process Type of stress
1. Coining P. Tensile
2. Wire Drawing Q. Shear
3. Blanking R. Tensile and compressive
4. Deep Drawing S. Compressive
(A) 1-S, 2-P, 3-Q, 4-R (B) 1-S, 2-P, 3-R, 4-Q
(C) 1-P, 2-Q, 3-S, 4-R (D) 1-P, 2-R, 3-Q, 4-S
Q.3 In an interchangeable assembly, shafts of size 010 . 0
040 . 0
000 . 25 

mm mate with holes of size
020 . 0
030 . 0
000 . 25 

mm. The maximum interference (in microns) in the assembly is
(A) 40 (B) 30 (C) 20 (D) 10
Q.4 During normalizing process of steel, the specimen is heated
(A) between the upper and lower critical temperature and cooled in still air.
(B) above the upper critical temperature and cooled in furnace.
(C) above the upper critical temperature and cooled in still air.
(D) between the upper and lower critical temperature and cooled in furnace.
Q.5 Oil flows through a 200 mm diameter horizontal cast iron pipe (friction factor, f = 0.0225) of
length 500 m. The volumetric flow rate is 0.2 m3/s. The head loss (in m) due to friction is (assume
g = 9.81 m/s2)
(A) 116.18 (B) 0.116 (C) 18.22 (D) 232.36
Q.6 For an opaque surface, the absorptivity , transmissivity and reflectivity are related by
the equation:
(A) (B) 0 (C) 1 (D) 0 
Q.7 Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kJ/kg and
leaves as a saturated mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of the
saturated liquid and vapor at 15 kPa are hf = 225.94 kJ/kg and hg = 2598.3 kJ/kg respectively. The
mass flow rate of steam is 10 kg/s. Kinetic and potential energy changes are negligible. The power
output of the turbine in MW is
(A) 6.5 (B) 8.9 (C) 9.1 (D) 27.0

Q.8 The following are the data for two crossed helical gears used for speed reduction:
Gear I : Pitch circle diameter in the plane of rotation 80 mm and helix angle 30º
Gear II : Pitch circle diameter in the plane of rotation 120 mm and helix angle 22.5º
If the input speed is 1440 rpm, the output speed in rpm is
(A) 1200 (B) 900 (C) 875 (D) 720
Q.9 A solid disc of radius r rolls without slipping on a horizontal floor with angular velocity ω and
angular acceleration α. The magnitude of the acceleration of the point of contact on the disc is
(A) zero (B) r (C) 2 2 2 ( ) ( ) r r (D) 2 r 
Q.10 A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is
increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same,
the percentage change in the circumferential (hoop) stress is
(A) 0 (B) 1 (C) 1.08 (D) 2.02
Q.11 The area enclosed between the straight line y = x and the parabola y = x2 in the x-y plane is
(A) 1/6 (B) 1/4 (C) 1/3 (D) 1/2
Q.12 Consider the function ( ) f x x in the interval1 1 x . At the point x = 0, f(x) is
(A) continuous and differentiable.
(B) non-continuous and differentiable.
(C) continuous and non-differentiable.
(D) neither continuous nor differentiable.
Q.13 Which one of the following is NOT a decision taken during the aggregate production planning
stage?
(A) Scheduling of machines (B) Amount of labour to be committed
(C) Rate at which production should happen (D) Inventory to be carried forward
Q.14 2 0
1 cos
lim
x
x
x 



is
(A) 1/4 (B) 1/2 (C) 1 (D) 2
Q.15 A CNC vertical milling machine has to cut a straight slot of 10 mm width and 2 mm depth by a
cutter of 10 mm diameter between points (0, 0) and (100, 100) on the XY plane (dimensions in mm).
The feed rate used for milling is 50 mm/min. Milling time for the slot (in seconds) is
(A) 120 (B) 170 (C) 180 (D) 240
Q.16 A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat dies
to a height of 25 mm. The percentage change in diameter is
(A) 0 (B) 2.07 (C) 20.7 (D) 41.4

Q.17 The velocity triangles at the inlet and exit of the rotor of a turbomachine are shown. V denotes the
absolute velocity of the fluid, W denotes the relative velocity of the fluid and U denotes the blade
velocity. Subscripts 1 and 2 refer to inlet and outlet respectively. If V2 = W1 and V1 = W2, then the
degree of reaction is
(A) 0 (B) 1 (C) 0.5 (D) 0.25
Q.18 Which one of the following configurations has the highest fin effectiveness?
(A) Thin, closely spaced fins (B) Thin, widely spaced fins
(C) Thick, widely spaced fins (D) Thick, closely spaced fins
Q.19 An ideal gas of mass m and temperature T1 undergoes a reversible isothermal process from an
initial pressure P1 to final pressure P2. The heat loss during the process is Q. The entropy change S
of the gas is
(A) 2
1
ln
P
mR
P



(B) 1
2
ln
P
mR
P



(C) 2
1 1
ln
P Q
mR
P T



(D) zero
Q.20 In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the
angular velocity (rad/s) of the follower link for the instant shown in the figure is
(A) 0.05 (B) 0.1 (C) 5.0 (D) 10.0
V2
U
W2
W1
V1
Note: All dimensions are in mm.
45
25
5

Q.21 A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a
flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in Joules is
(A) 395 (B) 790
(C) 1580 (D) 3160
Q.22 A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia of
the beam cross section about the neutral axis is I and the Young’s modulus is E. The magnitude of
the maximum deflection is
(A)
2
2
ML
EI
(B)
2 ML
EI
(C)
2 2ML
EI
(D)
2 4ML
EI
Q.23 For a long slender column of uniform cross section, the ratio of critical buckling load for the case
with both ends clamped to the case with both ends hinged is
(A) 1 (B) 2 (C) 4 (D) 8
Q.24 At x = 0, the function 3 ( ) 1 f x x has
(A) a maximum value (B) a minimum value
(C) a singularity (D) a point of inflection
Q.25 For the spherical surface 2 2 2 1 x y z , the unit outward normal vector at the point
(
1 1
, ,0
2 2
) is given by
(A)
1 1 ˆ ˆ
2 2
i j (B)
1 1 ˆ ˆ
2 2
i j 
(C) ˆ k (D)
1 1 1 ˆ ˆ ˆ
3 3 3
i j k 

Q. 26 - Q. 55 carry two marks each.
Q.26 The homogeneous state of stress for a metal part undergoing plastic deformation is
10 5 0
5 20 0
0 0 10
T




,
where the stress component values are in MPa. Using von Mises yield criterion, the value of
estimated shear yield stress, in MPa is
(A) 9.50 (B) 16.07 (C) 28.52 (D) 49.41
Q.27 Details pertaining to an orthogonal metal cutting process are given below.
Chip thickness ratio 0.4
Undeformed thickness 0.6 mm
Rake angle +10°
Cutting speed 2.5 m/s
Mean thickness of primary shear zone 25 microns
The shear strain rate in s–1 during the process is
(A) 0.1781×105 (B) 0.7754×105 (C) 1.0104×105 (D) 4.397×105
Q.28 In a single pass drilling operation, a through hole of 15 mm diameter is to be drilled in a steel plate
of 50 mm thickness. Drill spindle speed is 500 rpm, feed is 0.2 mm/rev and drill point angle is
118°. Assuming 2 mm clearance at approach and exit, the total drill time (in seconds) is
(A) 35.1 (B) 32.4 (C) 31.2 (D) 30.1
Q.29 Consider two infinitely long thin concentric tubes of circular cross section as shown in the figure.
If D1 and D2 are the diameters of the inner and outer tubes respectively, then the view factor F22 is
given by

Q.30 An incompressible fluid flows over a flat plate with zero pressure gradient. The boundary layer
thickness is 1 mm at a location where the Reynolds number is 1000. If the velocity of the fluid
alone is increased by a factor of 4, then the boundary layer thickness at the same location, in mm
will be
(A) 4 (B) 2 (C) 0.5 (D) 0.25
Q.31 A room contains 35 kg of dry air and 0.5 kg of water vapor. The total pressure and temperature of
air in the room are 100 kPa and 25°C respectively. Given that the saturation pressure for water at
25°C is 3.17 kPa, the relative humidity of the air in the room is
(A) 67% (B) 55% (C) 83% (D) 71%
Q.32 A fillet welded joint is subjected to transverse loading F as shown in the figure. Both legs of the
fillets are of 10 mm size and the weld length is 30 mm. If the allowable shear stress of the weld is
94 MPa, considering the minimum throat area of the weld, the maximum allowable transverse load
in kN is
(A) 14.44 (B) 17.92 (C) 19.93 (D) 22.16
Q.33 A concentrated mass m is attached at the centre of a rod of length 2L as shown in the figure. The
rod is kept in a horizontal equilibrium position by a spring of stiffness k. For very small amplitude
of vibration, neglecting the weights of the rod and spring, the undamped natural frequency of the
system is

Q.34 The state of stress at a point under plane stress condition is
σxx = 40 MPa, σyy = 100 MPa and τxy = 40 MPa.
The radius of the Mohr’s circle representing the given state of stress in MPa is
(A) 40 (B) 50 (C) 60 (D) 100
Q.35 The inverse Laplace transform of the function
1
( )
( 1)
F s
s s


is given by
(A) ( ) sin f t t (B) ( ) sin t f t e t 
(C) ( ) t f t e(D) ( ) 1 t f t e
F
F
m k
L L
Q.37 Calculate the punch size in mm, for a circular blanking operation for which details are given below.
Size of the blank 25 mm
Thickness of the sheet 2 mm
Radial clearance between punch and die 0.06 mm
Die allowance 0.05 mm
(A) 24.83 (B) 24.89 (C) 25.01 (D) 25.17
Q.38 In a single pass rolling process using 410 mm diameter steel rollers, a strip of width 140 mm and
thickness 8 mm undergoes 10 % reduction of thickness. The angle of bite in radians is
(A) 0.006 (B) 0.031 (C) 0.062 (D) 0.600
Q.39 In a DC arc welding operation, the voltage-arc length characteristic was obtained as
20 5 arc V l where the arc length l was varied between 5 mm and 7 mm. Here Varc denotes the
arc voltage in Volts. The arc current was varied from 400 A to 500 A. Assuming linear power
source characteristic, the open circuit voltage and the short circuit current for the welding
operation are
(A) 45 V, 450 A (B) 75 V, 750 A (C) 95 V, 950 A (D) 150 V, 1500 A


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