Complete GATE XE 2023 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 67–69 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 23 of 59

Question 67

Open question
XE-DMCQ1 markNeeds review
A massless rigid rod OP of length L is hinged frictionlessly at O. A concentrated mass m is attached to end P of the rod. Initially, the rod OP is horizontal. Then, it is released from rest. There is gravity as shown. The rod acquires an angular velocity as it swings. The clockwise angular velocity of the rod, when it first reaches the vertical position as shown, is
Diagram for Engineering Sciences question 67

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Question 68

Open question
XE-DMCQ1 markNeeds review
Two equivalent descriptions of the state of stress at a point are shown in the figure. The normal stresses

and

as shown on the right must be, respectively,
Diagram for Engineering Sciences question 68

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Question 69

Open question
XE-DMCQ1 markNeeds review
The state of strain at a point in a machine component is given as

. The volumetric strain at this point is
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