Aerospace Engineering > GATE 2026 > Vibrations
A system comprising a bar, spring and mass is shown in the figure below. The bar, having negligible mass, is made of a material having Young’s modulus E = 200 GPa, cross-sectional area A = 100 mm2, and length L = 100 mm. The spring stiffness k = 200 kN/mm and the mass M = 100 kg. The natural frequency of free vibration of the system is ________ rad/s (rounded off to the nearest integer).

Correct : 1000

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natural frequency vibration system bar spring mass system GATE Aerospace Engineering 2026 aerospace engineering gate vibration system natural frequency Young's modulus spring stiffness GATE mass frequency calculation GATE 2026 question 59

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