Engineering Sciences
GATE XE year:2024 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-DMCQ1 markNeeds review
An ice-skater starts spinning during her performance. As she retracts her arms and legs closer to her body, her angular velocity ____________________.
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Open questionXE-DMSQ1 markNeeds review
A solid circular shaft of diameter 100 mm is subjected to a torque
kNm. Which of the following statements about the state of stress in the shaft is/are correct?Your answerSelect all correct options. You can choose more than one.
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Open questionXE-DNAT1 markNeeds review
A spring is connected to an elastic bar as shown in the figure. The spring has a stiffness constant of
N/m. The bar is 70 mm long, and has an area of cross-section 10 mm
. The Young’s modulus of the bar material is 70,000 MPa. A force F = 5000 N is applied at point O along the axis of the bar and the spring. The resulting deflection of Point O in mm (rounded to one decimal place) is _____ 
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Open questionXE-DNAT1 markNeeds review
A particle of mass 1 kg is attached to one end of a spring having stiffness of 125 N/m. The free length of the spring is 100 mm. The system is rotated about the other end of the spring at a uniform angular velocity of 5 rad/s. Ignore gravity and consider that the elongation of the spring may be comparable to the free length of the spring. The elongation of the spring (in mm, rounded off to the nearest integer) is _____ .
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Open questionXE-DMCQ2 marksNeeds review
A 0-45-90 strain gauge rosette is mounted on an aircraft wing. The co-ordinate system is placed such that the strain gauges p, q and r are oriented at angles 0°, 45° and 90°, respectively, from the x axis (see figure). The strain readings associated to p, q and r are denoted by
,
, and
, respectively. While conducting a test the strain gauges show the following readings.
The developed engineering shear strain
associated to the strain gauge data is 
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Open questionXE-DMCQ2 marksNeeds review
A rigid bar PQ is hinged at its end P. As shown in the figure, the bar is pin-connected through two identical links QS and RT at points Q and R, respectively. The other ends of the links, S and T, are fixed. Both links are made of the same material. If the temperature of the links is uniformly increased by
, then which one of the following statements is correct? (Neglect the weight of the rigid bar) 
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Open questionXE-DMCQ2 marksNeeds review
A pin-jointed truss has a pin support at the point E and a roller support at the point F. A horizontal force P is applied at pin H as shown in the figure. Which one of the members is in compression?
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Open questionXE-DMCQ2 marksNeeds review
Two identical rigid slender bars of length
and mass
are acted upon by a transverse force F at one of the ends as shown in the figure. In the first case, the bar is pinned at the other end. In the second case, the bar is pinned at its mid-point. What should be the magnitude of the force F such that the resulting angular accelerations of the two bars are equal? 
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Open questionXE-DMSQ2 marksNeeds review
A critical point on a component is subjected to the state of stress
as given in the following. The yield strength of the material is 400 MPa. By considering maximum shear stress (Tresca) theory, the possible value(s) of
at the onset of yielding is/are,
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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-DNAT2 marksNeeds review
A plane passing through a point Q inside a body is shown. The unit normal of the plane is
, as shown in the figure. The traction (stress) vector on the plane at point Q is given by
MPa. Given that at point Q,
, the shear stress component
(in MPa, rounded off to two decimal places) is __________ . 
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