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Differential Equations in Engineering

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Multiple Choice

In a mechanical system, the equation (m\frac{d^2x}{dt^2} + kx = 0) describes the motion of a mass (m) attached to a spring with spring constant (k). What is the natural frequency of the system?

  1. \(\sqrt{\frac{k}{m}}\)
  2. \(\frac{1}{2\pi}\sqrt{\frac{k}{m}}\)
  3. \(\frac{1}{2\pi}\sqrt{\frac{m}{k}}\)
  4. \(\sqrt{\frac{m}{k}}\)
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