A vibratory system consists of mass m, a vertical spring of stiffness 2k and a horizontal spring of stiffness k. The end A of the horizontal spring is given a horizontal motion x_A = a sin ωt. The other end of the spring is connected to an inextensible rope that passes over two massless pulleys as shown. Assume m = 10 kg, k = 1.5 kN/m, and neglect friction. The magnitude of critical driving frequency for which the oscillations of mass m tend to become excessively large is ________ rad/s (answer in integer).

GATE 2024 Mechanical Engineering Q55 — Mechanical Engineering

GATE 2024Set MasterQ55NATanswer pendingexplanation soonmedium

Mechanical Engineering · Vibrations

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Recurring concept

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