Engineering Sciences
GATE XE branch:xe PYQs
Build your understanding with focused practice from past exam papers.
Questions 1501–1510 of 1772. Imported answers require independent review unless marked reviewed.
Question 14
Open questionXE-DMCQ2 marksNeeds review
A cylindrical member, made up of ductile material, is subjected to pure torsion as shown in the figure. The failure plane (from Option-I to Option-IV) for ductile material as per maximum shear stress theory is represented by
Your answerChoose one option.
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Open questionXE-DMCQ2 marksNeeds review
A simply supported beam of span
is subjected to a couple
at a distance
from support
. Among the four options (Option-I to Option-IV) shown, the correct shear force diagram of the beam is 
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Open questionXE-DMCQ2 marksNeeds review
A circular shaft
of diameter,
and length,
is fixed at end
. It is subjected to the torsional moments at point
and point
as shown in the figure. The ratio of angle of twists at point
to point
is 
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Open questionXE-DNAT2 marksNeeds review
A circular steel bar of diameter 10 mm is bent into the shape as shown in figure, and lies in
-
plane. A horizontal force
is applied along the positive
-direction as shown. The yield strength of the steel is 200 MPa. Neglecting the effect of transverse shear, the load
(in Newton) required to initiate yielding as per maximum shear stress theory of failure is………. [up to two decimal places] 
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Open questionXE-DNAT2 marksNeeds review
Two sliders
and
connected by a rigid link of length
, slide in two mutually perpendicular and frictionless guide-ways. At a particular instance, the slider
is moving in the downward direction with a speed of 0.05 m/s. At this instance, the magnitude of the velocity of slider
(in m/s) is ……[up to two decimal places] 
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Open questionXE-DNAT2 marksNeeds review
A simply supported beam
is subjected to load as shown in the figure. The 20 kN load is applied at point
with the help of a welded bracket as shown. The beam has a rectangular cross-section of 15 mm width and 100 mm depth as shown. The maximum transverse shear stress developed in the beam (in MPa) is ……...[up to one decimal place] 
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Open questionXE-DNAT2 marksNeeds review
A rigid rod
, in the form of a quarter-circular arc of radius
, is hinged at
and supported by a roller at
. A vertical force
is applied at the end
of the bar. For the reactions at
and
to be equal in magnitude, the value of the angle
(in degrees) is ……… [up to two decimal places]. 
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Open questionXE-DNAT2 marksNeeds review
A marble of mass
slides along a frictionless linear slide
kept in a vertical plane. The marble is released from point
with zero initial velocity, and it reaches point
under the action of gravity. Assuming the acceleration due to gravity to be 9.81 m/s
, the speed (in m/s) of the marble when it just reaches point
is……..[up to two decimal places]. 
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Open questionXE-DNAT2 marksNeeds review
A horizontal force 10 N is applied at support
on the frame as shown in figure. Considering only bending deformation, the vertical reaction (in N) at support
is ……… [up to one decimal place] 
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Open questionXE-EMCQ1 markNeeds review
When a fixed mass of air-water vapour mixture is heated at constant pressure,
(A) both relative and specific humidity decrease.
(B) relative humidity decreases, but specific humidity remains unchanged.
(C) specific humidity decreases, but relative humidity remains unchanged.
(D) both relative and specific humidity increase.
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