A thin uniform rigid bar of length L and mass M is hinged at point O, located at a distance of L/3 from one of its ends. The bar is further supported using springs, each of stiffness k, located at the two ends. A particle of mass m = M/4 is fixed at one end of the bar, as shown in the figure. For small rotations of the bar about O, the natural frequency of the system is

GATE 2018 Mechanical Engineering Q46 — Mechanical Engineering

GATE 2018Set CombinedQ46MCQanswer keyexplanation soonhard

Mechanical Engineering · Vibrations

Concept intelligence

Drill mode: rigid bar · 1/1

Figure from the original GATE 2018 paper. (IIT Guwahati archive)

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Recurring concept

Vibrations has appeared in GATE Mechanical Engineering 43 times across 20 years (2019, 2022, 2024, 2025, 2026, ...).

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natural frequencyvibrationsspring-mass systemrigid bar