Engineering Sciences
GATE XE kind:question PYQs
Build your understanding with focused practice from past exam papers.
Questions 271–280 of 1772. Imported answers require independent review unless marked reviewed.
Question 74
Open questionXE-DNAT1 markNeeds review
A force of
N is applied at the ends of the pliers as shown in the figure.Neglecting friction, the force exerted by the upper jaw on the workpiece is _____ N (in integer).
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Open questionXE-DMCQ2 marksNeeds review
Consider two blocks, P of mass 100 kg and Q of mass 150 kg, resting as shown in the figure. The angle
. The coefficient of friction between the two blocks is 0.2. Assume no friction exists at all other interfaces. The minimum force required to move the block P upward is W.Which one of the following options is closest to the CORRECT magnitude of W (in N)?
Your answerChoose one option.
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Open questionXE-DMCQ2 marksNeeds review
Which one of the following vertical columns, of circular cross-section, sustains the highest load without buckling?
Your answerChoose one option.
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Open questionXE-DMCQ2 marksNeeds review
The figure shows a rod PQ, hinged at P, rotating counter-clockwise with a uniform angular speed of 15 rad/s. A block R translates along a slot cut in rod PQ. At the instant shown the distance PR = 0.5 m and
. The relative velocity of R with respect to the rod PQ is 5 m/s at the instant shown. The relative acceleration of R with respect to the rod PQ is zero at the instant shown.Which one of the following is the CORRECT magnitude of the absolute acceleration (in m/s
) of block R? 
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 frame shown in the figure is loaded at S with a force of 2000 N. The reactions at T are denoted by T
and T
, while the reaction at W is W
. Neglect the weight of the members.Which one of the following options for the magnitudes of the forces (in N), T
, T
and W
, is CORRECT? 
Your answerChoose one option.
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Open questionXE-DMCQ2 marksNeeds review
A closed thin cylindrical tank with a mean diameter d = 300 mm and thickness t = 2 mm, is subjected to a uniform internal gas pressure p. The allowable shear stress on the curved wall of the tank is 70 MPa.
Based on the Tresca criteria, which one of the following options for the maximum safe value of p (in MPa) is CORRECT?
Your answerChoose one option.
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Open questionXE-DMSQ2 marksNeeds review
An infinitesimal square element PQRS is shown in the figure. The x and y axes are also marked in the figure. The strains on the element are given by
and
Which of the following statements is/are CORRECT?
Your answerSelect all correct options. You can choose more than one.
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Open questionXE-DMSQ2 marksNeeds review
The figure shows the stress distribution across an internal surface of a rectangular beam of height 30 mm and depth 10 mm. The normal stress distribution is given by the expression
; y is the distance in mm from the centroidal axis of the beam. Assume that there is no variation in the stress distribution along the z-direction. Which of the following statements is/are CORRECT? 
Your answerSelect all correct options. You can choose more than one.
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Open questionXE-DNAT2 marksNeeds review
A vertical column fixed at one end is subjected to a compressive axial load at the free end. The column’s section modulus, EI, is
and the cross-section area is
. The length of the column is 2 m. The yield stress of the material is 145 MPa. If the column can fail either in buckling or by Tresca’s criterion, the maximum load that the structure can safely sustain is ____ kN (rounded off to one decimal place).Log in to check the answer
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Open questionXE-DNAT2 marksNeeds review
A simply-supported beam, with a point load P = 150 kN at a distance of L/3 from the left end, is shown in the figure. The elastic-strain energy (U) of the beam is given by the following expression:
where the section modulus, EI, is 16.66 × 10⁵ Nm² and the length of the beam L is 1 m. The deflection at the loading point is ____ mm (rounded off to two decimal places).
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