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GATE XE 2026 | Question: 59

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A rigid block of mass $m$ on a horizontal surface is connected to three springs each having spring constant $k$ as shown in the figure.

Which one of the following is the CORRECT natural frequency of the system?

  1. $\sqrt{\frac{3 k}{4 m}}$
  2. $\sqrt{\frac{2 k}{3 m}}$
  3. $\sqrt{\frac{3 k}{2 m}}$
  4. $\sqrt{\frac{3 k}{m}}$

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