Mechanical Engineering
GATE ME topic:mechanical-engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 1040. Imported answers require independent review unless marked reviewed.
Question 11
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Domain
is bounded by curve
, ordinate
, and
axis. The value of
isYour answerChoose one option.
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Let
be a scalar function. Then,
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The order and degree of the following differential equation are
and
, respectively.
The value of
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Newton-Raphson method for solving algebraic equations is based on
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The exact solution of
is represented as
.
If
represents numerically evaluated value of the above integral using Trapezoidal rule by considering four equal subintervals in the range of
, then
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A horizontal disk has a radial frictionless slot in which a small block is confined to slide. The disk turns anticlockwise about its centre with a constant angular velocity of 3 rad/s. If the block slides along the slot with a constant speed of 0.2 m/s relative to the slot, then the magnitude of Coriolis acceleration in m/s
isYour answerChoose one option.
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A gear train with five gears is shown in the figure below. The number of teeth on each gear is
,
,
,
, and
. The idler gear in this gear train is

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In a single degree of freedom vibrating system with only viscous damping, the critical damping coefficient is 350 N s/m and the damping coefficient is 35 N s/m.
The logarithmic decrement of the vibrating system is
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A closely coiled helical compression spring of mean coil diameter
and wire diameter
, is loaded by an axial force
.The maximum shear stress developed in the wire is
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The rotor of an aeroplane engine has a mass moment of inertia 1.0 kg m
. The engine rotates at a speed of 500 RPM in the clockwise direction if viewed from the front of the aeroplane. If the aeroplane while flying at 1200 km/hr turns with a radius of 2 km at same elevation, then the magnitude of the gyroscopic moment exerted by the rotor on the aeroplane structure in N m isYour answerChoose one option.
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