Engineering Sciences
GATE XE purpose:exam-prep PYQs
Build your understanding with focused practice from past exam papers.
Questions 621–630 of 1772. Imported answers require independent review unless marked reviewed.
Question 74
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
Your answerChoose one option.
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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 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
Your answerChoose one option.
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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
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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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
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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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 79
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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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 80
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
Your answerSelect all correct options. You can choose more than one.
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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 81
Open questionXE-DNAT2 marksNeeds review
A steel ball of mass m = 10 kg is suspended from the ceiling of a moving carriage by two inextensible strings making 60° with the horizontal as shown. The carriage has an acceleration a such that the tension in the string on the right is double the tension in the string on the left. Take the acceleration due to gravity (g) as 10 m/s
. The acceleration a (in m/s
) 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 82
Open questionXE-DNAT2 marksNeeds review
A block of mass m = 10 kg is lying on an inclined plane PQ. The mass is restrained from sliding down the inclined plane by a force F. The coefficient of friction between the block and the inclined plane is 0.3. Take the acceleration due to gravity as 10 m/s
. The smallest force F (in N) required to prevent the block from sliding down 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 83
Open questionXE-DNAT2 marksNeeds review
A spherical rigid ball of mass 10 kg is moving with a speed of 2 m/s in the direction shown. The ball collides with a rigid frictionless wall and rebounds at an angle α with a speed of v, as shown. The coefficient of restitution is 0.9. The angle α (in degrees) is_____(rounded off to one decimal place).
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