Engineering Sciences
GATE XE purpose:exam-prep PYQs
Build your understanding with focused practice from past exam papers.
Questions 791–800 of 1772. Imported answers require independent review unless marked reviewed.
Question 69
Open questionXE-DMCQ1 markNeeds review
In the truss shown in the figure, all the members are pin joined to each other. The members AB, BD, DE and DC have the same length. For the given loading, which of the following is the correct statement?
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Open questionXE-DMCQ1 markNeeds review
End
of the 2 m long rigid rod
is constrained to move horizontally in the slot shown in the figure and has a velocity of 1.0
m/s. The angular velocity of the rod at the instant shown is 2 rad/s. The unit vectors along
and
directions are denoted respectively as
and
. The velocity of point
in m/s is then given by 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 71
Open questionXE-DMCQ1 markNeeds review
The assembly of four masses connected by rigid mass-less rods is kept on a smooth horizontal floor as shown in the figure. Under the applied force
, the magnitude of angular acceleration of the assembly at the instant shown is 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 72
Open questionXE-DMCQ1 markNeeds review
A particle is constrained to move at a constant speed on an inclined plane (ABCD) along the curved path shown in the figure. Edges AD and BC are parallel to the
axis. The inclined plane makes an angle
with the
-plane. The velocity vector of the particle makes an angle
with the dotted line which is parallel to edge
. If the speed of the particle is 2 m/s,
, and
, then the
-component of the velocity of the particle in m/s is __________ 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 73
Open questionXE-DNAT1 markNeeds review
A uniform elastic rod of constant cross-section is fixed at its left end as shown in the figure. An axial force
is acting as shown. Assume that plane sections remain plane during deformation. The ratio of axial displacements at point
(
) to that at point
(
) is ______ (rounded off to one decimal place) 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 74
Open questionXE-DNAT1 markNeeds review
A thin-walled spherical pressure vessel has a mean radius of 500 mm and wall thickness of 10 mm. The yield strength of the material is 500 MPa. The internal pressure in MPa at which the spherical pressure vessel will yield according to the Tresca criterion is __________ (rounded off to one decimal place)
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 75
Open questionXE-DMCQ2 marksNeeds review
The beam in the figure is subjected to a moment
at mid span as shown. Which of the following is the vertical reaction at B? 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 76
Open questionXE-DMCQ2 marksNeeds review
A spring-mass system having a mass
and spring constant
, placed horizontally on a foundation, is connected to a vertically hanging mass
with the help of an inextensible string. Ignore the friction in the pulleys and also the inertia of pulleys, string and spring. Gravity is acting vertically downwards as shown. The natural frequency of the system in rad/s is 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 77
Open questionXE-DMCQ2 marksNeeds review
One end of a uniform rigid rod
of length
and mass
is attached to a frictionless hinge at
. The other end of the rod is connected to the roof at
with a mass-less inextensible thread
. Initially the rod is horizontal and at rest. The gravity is acting vertically downwards as shown. Immediately after the thread
is cut, the reaction on the rod at
is 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 78
Open questionXE-DMCQ2 marksNeeds review
A circular shaft is rigidly connected to a wall at one end. The shaft has a solid portion and a hollow portion as shown in the figure. The length of each portion is
and the shear modulus of the material is
. The polar moment of inertia of the hollow portion is
and that of the solid portion is
. A torque
is applied at the right most end as shown. The rotation of the section
is 
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