Engineering Sciences
GATE XE year:2023 PYQs
Build your understanding with focused practice from past exam papers.
Questions 71–80 of 175. Imported answers require independent review unless marked reviewed.
Question 71
Open questionXE-DMSQ1 markNeeds review
A spring mass system is shown in the figure below. Take the acceleration due to gravity as
. The static deflection due to weight and the time period of oscillations, respectively, are
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Open questionXE-DNAT1 markNeeds review
A rod is subjected to three forces as shown in the figure on the left. An equivalent force system with forces
,
and moment
is shown in the figure on the right. The value of M (in N-m) is ______ (rounded off to one decimal place).
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Open questionXE-DNAT1 markNeeds review
A simply supported beam of length 3 m is loaded as shown in the figure.
The magnitude of the shear force (in kN) at the mid-point of the beam is______(rounded off to one decimal place).
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Open questionXE-DNAT1 markNeeds review
For a plane stress problem, the principal stresses are 100 MPa and 50 MPa. The magnitude of maximum shear stress (in MPa) in the material is______(rounded off to one decimal place).
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Open questionXE-DMCQ2 marksNeeds review
A solid uniform rigid disk of mass
and radius
rolls without slipping along a horizontal surface PQ. The speed of the center of the disk is
. The disk then strikes a hurdle of height
at point S. During the impact, there is no rebound or slip at S and no impulse from the surface PQ. The magnitude of the velocity of the center of the disk immediately after the impact is
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Open questionXE-DMCQ2 marksNeeds review
A cylinder made of rubber (length = L and diameter = d) is inserted in a rigid container as shown in the figure. The rubber cylinder fits snugly in the rigid container. There is no wall friction. The modulus of elasticity of the rubber is E and its Poisson’s ratio is
. The cylinder is subjected to a small uniform pressure
as shown in the figure. The resulting axial strain (
) is
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Open questionXE-DMCQ2 marksNeeds review
The state of stress at the critical location in a structure is
,
,
. The yield stress for the material in uniaxial tension is 400 MPa. Select the correct statement among the following.Your answerChoose one option.
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Open questionXE-DMCQ2 marksNeeds review
The figure shows a column of rectangular cross section 100 mm × 80 mm. It carries a load of 60 kN at a point 30 mm from the edge P Q. The values of stress component
on surfaces
and
, at points far away from both ends of the column, are respectively 
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Open questionXE-DMCQ2 marksNeeds review
Consider an electric pole with dimensions as shown in the figure. Let the end R be subjected to a vertical force F. The flexural rigidity of both vertical and horizontal bars is EI. Neglect the axial deflection of the vertical bar, and all effects of self-weight. The vertical deflection at end R is
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Open questionXE-DMSQ2 marksNeeds review
A uniform cantilever beam has flexural rigidity EI and length L. It is subjected to a concentrated force F and moment M = 2FL at the free end as shown. The deflection (δ) at the free end is
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