Engineering Sciences
2026 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE XE 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 67–69 of 197. Imported answers require review unless explicitly marked reviewed.
Question 67
Open questionXE-DMCQ1 markNeeds review
Two smooth drums each weighing
and radius,
are connected by a stiff rope of length,
as shown in the figure. Force
is applied using a massless lever (RS) of length,
. The friction between the drums and the lever (RS) is negligible. The system is in static equilibrium.Which one of the following represents the CORRECT free body diagram of the lever (RS)?
Figures are not to scale.
,
, and
in the options are reaction forces and
is the frictional force. 
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Open questionXE-DMCQ1 markNeeds review
Identify the zero-force member in the truss structure as shown in the figure.
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Open questionXE-DMCQ1 markNeeds review
A rigid block of mass
on a horizontal surface is connected to three springs each having spring constant
as shown in the figure.Which one of the following is the CORRECT natural frequency of the system?
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