Engineering Sciences
2023 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
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.
Question 67
Open questionXE-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

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Open questionXE-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, 
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Open questionXE-DMCQ1 markNeeds review
The state of strain at a point in a machine component is given as
. The volumetric strain at this point isYour answerChoose one option.
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