Engineering Sciences
2024 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE XE 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 73–75 of 175. Imported answers require review unless explicitly marked reviewed.
Question 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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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 
Your answerChoose one option.
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