Mechanical Engineering
GATE ME year:2017 PYQs
Build your understanding with focused practice from past exam papers.
Questions 71–80 of 130. Imported answers require independent review unless marked reviewed.
Question 36
Open questionME-1NAT2 marksNeeds review
Air contains 79% N
and 21% O
on a molar basis. Methane (CH
) is burned with 50% excess air than required stoichiometrically. Assuming complete combustion of methane, the molar percentage of N
in the products is _____________.Log in to check the answer
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Open questionME-2NAT2 marksNeeds review
A single-plate clutch has a friction disc with inner and outer radii of 20 mm and 40 mm, respectively. The friction lining in the disc is made in such a way that the coefficient of friction
varies radially as
, where
is in m. The clutch needs to transmit a friction torque of 18.85 kN·mm. As per uniform pressure theory, the pressure (in MPa) on the disc is ____________.Log in to check the answer
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Open questionME-1NAT2 marksNeeds review
Two black surfaces, AB and BC, of lengths 5 m and 6 m, respectively, are oriented as shown. Both surfaces extend infinitely into the third dimension. Given that view factor
,
,
,
and Stefan Boltzmann constant,
W/(m
K
), the heat transfer rate from Surface 2 to the surrounding environment is ________ kW. 
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Open questionME-2MCQ2 marksNeeds review
The principal stresses at a point in a critical section of a machine component are
MPa,
MPa and
MPa. For the material of the component, the tensile yield strength is
MPa. According to the maximum shear stress theory, the factor of safety isYour answerChoose one option.
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Open questionME-1NAT2 marksNeeds review
Heat is generated uniformly in a long solid cylindrical rod (diameter = 10 mm) at the rate of
W/m³. The thermal conductivity of the rod material is 25 W/m.K. Under steady state conditions, the temperature difference between the centre and the surface of the rod is __________ °C.Log in to check the answer
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Open questionME-2NAT2 marksNeeds review
The rod PQ of length
m, and uniformly distributed mass of
kg, is released from rest at the position shown in the figure. The ends slide along the frictionless faces OP and OQ. Assume acceleration due to gravity,
m/s
. The mass moment of inertia of the rod about its centre of mass and an axis perpendicular to the plane of the figure is (
). At this instant, the magnitude of angular acceleration (in rad/s
) of the rod is ____________. 
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Open questionME-1MCQ2 marksNeeds review
An initially stress-free massless elastic beam of length
and circular cross-section with diameter
(
) is held fixed between two walls as shown. The beam material has Young’s modulus
and coefficient of thermal expansion
. 
If the beam is slowly and uniformly heated, the temperature rise required to cause the beam to buckle is proportional to
Your answerChoose one option.
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Open questionME-2NAT2 marksNeeds review
The arrangement shown in the figure measures the velocity
of a gas of density 1 kg/m
flowing through a pipe. The acceleration due to gravity is 9.81 m/s
. If the manometric fluid is water (density 1000 kg/m
) and the velocity
is 20 m/s, the differential head
(in mm) between the two arms of the manometer is ____________. 
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Open questionME-1NAT2 marksNeeds review
A point mass of 100 kg is dropped onto a massless elastic bar (cross-sectional area = 100 mm², length = 1 m, Young’s modulus = 100 GPa) from a height
of 10 mm as shown (Figure is not to scale). If
m/s², the maximum compression of the elastic bar is __________ mm. 
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Open questionME-2NAT2 marksNeeds review
A 60 mm-diameter water jet strikes a plate containing a hole of 40 mm diameter as shown in the figure. Part of the jet passes through the hole horizontally, and the remaining is deflected vertically. The density of water is 1000 kg/m
. If velocities are as indicated in the figure, the magnitude of horizontal force (in N) required to hold the plate is ____________. 
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