As you want to get the GATE last year question papers of Mechanical Engineering so here it is for you:

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Q.1 to Q.25 carry one mark each.
Q.1 In simple exponential smoothing forecasting, to give higher weightage to recent demand
information, the smoothing constant must be close to
(A) 1 (B) zero (C) 0.5 (D) 1.0
Q.2 A steel bar 200 mm in diameter is turned at a feed of 0.25 mm/rev with a depth of cut of 4 mm. The
rotational speed of the workpiece is 160 rpm. The material removal rate in mm3/s is
(A) 160 (B) 167.6 (C) 1600 (D) 1675.5
Q.3 A cube shaped casting solidifies in 5 min. The solidification time in min for a cube of the same
material, which is 8 times heavier than the original casting, will be
(A) 10 (B) 20 (C) 24 (D) 40
Q.4 For a ductile material, toughness is a measure of
(A) resistance to scratching (B) ability to absorb energy up to fracture
(C) ability to absorb energy till elastic limit (D) resistance to indentation
Q.5 In order to have maximum power from a Pelton turbine, the bucket speed must be
(A) equal to the jet speed. (B) equal to half of the jet speed.
(C) equal to twice the jet speed. (D) independent of the jet speed.
Q.6 Consider one-dimensional steady state heat conduction along x-axis (0 ≤ x ≤ L), through a plane
wall with the boundary surfaces (x=0 and x=L) maintained at temperatures of 0°C and 100°C. Heat
is generated uniformly throughout the wall. Choose the CORRECT statement.
(A) The direction of heat transfer will be from the surface at 100°C to the surface at 0°C.
(B) The maximum temperature inside the wall must be greater than 100°C.
(C) The temperature distribution is linear within the wall.
(D) The temperature distribution is symmetric about the mid-plane of the wall.
Q.7 A cylinder contains 5 m3 of an ideal gas at a pressure of 1 bar. This gas is compressed in a
reversible isothermal process till its pressure increases to 5 bar. The work in kJ required for this
process is
(A) 804.7 (B) 953.2 (C) 981.7 (D) 1012.2
Q.8 A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure.
The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is
(A) 0.5 (B) 1.0 (C) 2.0 (D) 4.0
Q.9 If two nodes are observed at a frequency of 1800 rpm during whirling of a simply supported long
slender rotating shaft, the first critical speed of the shaft in rpm is
(A) 200 (B) 450 (C) 600 (D) 900
2013 MECHANICAL ENGINEERING - ME
ME-D 3/16
Q.10 A planar closed kinematic chain is formed with rigid links PQ = 2.0 m, QR = 3.0 m, RS = 2.5 m
and SP = 2.7 m with all revolute joints. The link to be fixed to obtain a double rocker (rockerrocker)
mechanism is
(A) PQ (B) QR (C) RS (D) SP
Q.11 Let X be a normal random variable with mean 1 and variance 4. The probability P{X < 0} is
(A) 0.5 (B) greater than zero and less than 0.5
(C) greater than 0.5 and less than 1.0 (D) 1.0
Q.12 Choose the CORRECT set of functions, which are linearly dependent.
(A) x sin , 2 sin x and 2 cos x (B) cos x , x sin and x tan
(C) cos 2x , 2 sin x and 2 cos x (D) cos 2x , x sin and x cos
Q.13 The eigenvalues of a symmetric matrix are all
(A) complex with non-zero positive imaginary part.
(B) complex with non-zero negative imaginary part.
(C) real.
(D) pure imaginary.

is a
(A) linear equation of order 2 (B) non-linear equation of order 1
(C) linear equation of order 1 (D) non-linear equation of order 2

Q.26 to Q.55 carry two marks each.
Q.26 Cylindrical pins of
020 . 0
010 . 0 25

mm diameter are electroplated in a shop. Thickness of the plating is
0 . 2 30micron. Neglecting gage tolerances, the size of the GO gage in mm to inspect the plated
components is
(A) 25.042 (B) 25.052 (C) 25.074 (D) 25.084
Q.27 During the electrochemical machining (ECM) of iron (atomic weight = 56, valency = 2) at current
of 1000 A with 90% current efficiency, the material removal rate was observed to be 0.26 gm/s. If
Titanium (atomic weight = 48, valency = 3) is machined by the ECM process at the current of
2000 A with 90% current efficiency, the expected material removal rate in gm/s will be
(A) 0.11 (B) 0.23 (C) 0.30 (D) 0.52
Q.28 A single degree of freedom system having mass 1 kg and stiffness 10 kN/m initially at rest is
subjected to an impulse force of magnitude 5 kN for 104 seconds. The amplitude in mm of the
resulting free vibration is
(A) 0.5 (B) 1.0 (C) 5.0 (D) 10.0
Q.29 A bar is subjected to fluctuating tensile load from 20 kN to 100 kN. The material has yield strength
of 240 MPa and endurance limit in reversed bending is 160 MPa. According to the Soderberg
principle, the area of cross-section in mm2 of the bar for a factor of safety of 2 is
(A) 400 (B) 600 (C) 750 (D) 1000
Q.30 A simply supported beam of length L is subjected to a varying distributed load
sin (3 x/L) Nm 1, where the distance x is measured from the left support. The magnitude of the
vertical reaction force in N at the left support is
(A) zero (B) 3 L (C) L (D) L 2
Q.31 Two large diffuse gray parallel plates, separated by a small distance, have surface temperatures of
400 K and 300 K. If the emissivities of the surfaces are 0.8 and the Stefan-Boltzmann constant is
5.67 × 108W/m2K4, the net radiation heat exchange rate in kW/m2 between the two plates is
(A) 0.66 (B) 0.79 (C) 0.99 (D) 3.96

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