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GATE ME 2026 Set 1 — Question 42

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MCQ+2 / -0.67MediumDeflection of BeamsBeams & ColumnsStrength of MaterialsSDOF Free VibrationFree VibrationTheory of Machines & Vibrations

Strength of Materials → Beams & Columns → Deflection of Beams

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Question

A 5 kg mass is suspended at the free end of an overhanging massless beam, having a pin support and a roller support, as shown in the figure below. Young’s modulus of the material of the beam is 200 GPa and area moment of inertia of the beam is 10−810^{-8} m4^4. The natural frequency of the beam in rad/s is
An overhanging beam with a pin support at A and a roller support at B. The span AB is 1 m. The overhang BC is 2 m. A 5 kg mass is attached at the free end C.
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