A uniform thin disk of mass 1 kg and radius 0.1 m is kept on a surface as shown in the figure. A spring of stiffness k₁ = 400 N/m is connected to the disk center A and another spring of stiffness k₂ = 100 N/m is connected at point B just above point A on the circumference of the disk. Initially, both the springs are unstretched. Assume pure rolling of the disk. For small disturbance from the equilibrium, the natural frequency of vibration of the system is ________ rad/s (round off to one decimal place).

GATE 2019 Mechanical Engineering Q43 — Mechanical Engineering

GATE 2019Set 1Q43NATanswer keyexplanation soonhard

Mechanical Engineering · Vibrations

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Figure from the original GATE 2019 paper. (IIT Madras archive)

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Recurring concept

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