Mechanical Engineering > GATE 2024 > Forced Vibrations
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 xA = 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 the critical driving frequency for which the oscillations of mass m tend to become excessively large is _______________ rad/s (answer in integer).
Correct : 20
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