Mechanical Engineering
GATE ME year:2017 PYQs
Build your understanding with focused practice from past exam papers.
Questions 81–90 of 130. Imported answers require independent review unless marked reviewed.
Question 41
Open questionME-1MCQ2 marksNeeds review
Two disks A and B with identical mass (
) and radius (
) are initially at rest. They roll down from the top of identical inclined planes without slipping. Disk A has all of its mass concentrated at the rim, while Disk B has its mass uniformly distributed. At the bottom of the plane, the ratio of velocity of the center of disk A to the velocity of the center of disk B isYour answerChoose one option.
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Open questionME-2NAT2 marksNeeds review
For the laminar flow of water over a sphere, the drag coefficient
is defined as
, where
is the drag force,
is the fluid density,
is the fluid velocity and
is the diameter of the sphere. The density of water is 1000 kg/m
. When the diameter of the sphere is 100 mm and the fluid velocity is 2 m/s, the drag coefficient is 0.5. If water now flows over another sphere of diameter 200 mm under dynamically similar conditions, the drag force (in N) on this sphere is ____________.Log in to check the answer
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Open questionME-1NAT2 marksNeeds review
A rectangular region in a solid is in a state of plane strain. The
coordinates of the corners of the undeformed rectangle are given by P(0,0), Q(4,0), R(4,3), S(0,3). The rectangle is subjected to uniform strains,
,
,
. The deformed length of the elongated diagonal, up to three decimal places, is __________ units.Log in to check the answer
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In the Rankine cycle for a steam power plant the turbine entry and exit enthalpies are 2803 kJ/kg and 1800 kJ/kg, respectively. The enthalpies of water at pump entry and exit are 121 kJ/kg and 124 kJ/kg, respectively. The specific steam consumption (in kg/kW·h) of the cycle is ____________.
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Open questionME-1NAT2 marksNeeds review
A machine element has an ultimate strength (
) of 600 N/mm², and endurance limit (
) of 250 N/mm². The fatigue curve for the element on a log-log plot is shown below. If the element is to be designed for a finite life of 1000 cycles, the maximum amplitude of a completely reversed operating stress is __________ N/mm². 
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A calorically perfect gas (specific heat at constant pressure 1000 J/kg·K) enters and leaves a gas turbine with the same velocity. The temperatures of the gas at turbine entry and exit are 110 K and 400 K, respectively. The power produced is 4.6 MW and heat escapes at the rate of 300 kJ/s through the turbine casing. The mass flow rate of the gas (in kg/s) through the turbine is
Your answerChoose one option.
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Open questionME-1NAT2 marksNeeds review
A horizontal bar, fixed at one end (
), has a length of 1 m, and cross-sectional area of 100 mm². Its elastic modulus varies along its length as given by
GPa, where
is the length coordinate (in m) along the axis of the bar. An axial tensile load of 10 kN is applied at the free end (
). The axial displacement of the free end is __________ mm.Log in to check the answer
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Open questionME-2NAT2 marksNeeds review
One kg of an ideal gas (gas constant
J/kg·K) undergoes an irreversible process from state-1 (1 bar, 300 K) to state-2 (2 bar, 300 K). The change in specific entropy (
) of the gas (in J/kg·K) in the process is ____________.Log in to check the answer
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In an epicyclic gear train, shown in the figure, the outer ring gear is fixed, while the sun gear rotates counterclockwise at 100 rpm. Let the number of teeth on the sun, planet and outer gears to be 50, 25, and 100, respectively. The ratio of magnitudes of angular velocity of the planet gear to the angular velocity of the carrier arm is __________.
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Open questionME-2MCQ2 marksNeeds review
The volume and temperature of air (assumed to be an ideal gas) in a closed vessel is 2.87 m
and 300 K, respectively. The gauge pressure indicated by a manometer fitted to the wall of the vessel is 0.5 bar. If the gas constant of air is
J/kg·K and the atmospheric pressure is 1 bar, the mass of air (in kg) in the vessel isYour answerChoose one option.
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