Engineering Sciences
GATE XE branch:xe PYQs
Build your understanding with focused practice from past exam papers.
Questions 441–450 of 1772. Imported answers require independent review unless marked reviewed.
Question 69
Open questionXE-DMCQ1 markNeeds review
A mass M is hung from a frictionless, massless pulley. The pulley is suspended by using an inextensible, massless rope of which one end is directly fixed to a support, and the other end is connected to the support through a linear spring of stiffness constant k (see figure). The natural frequency of this system is
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Open questionXE-DMCQ1 markNeeds review
A simply-supported beam of rectangular cross-section (width
and height
) is subjected to the loads as shown in the figure (i). The enlarged view of the beam cross-section is shown in figure (ii). The coordinate system is indicated in the figures. Assuming Euler-Bernoulli beam approximation, the shear stress
and normal stress
at the origin, O are respectively 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
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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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 72
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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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 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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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 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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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
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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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 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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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
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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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
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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