A springy pad

Classical Mechanics Level 4

A freely running motor rests on a thick rubber pad to reduce vibration. The motor sinks \(h=10~\mbox{cm}\) into the pad. Estimate the rotational speed in RPM (revolutions per minute) at which the motor will exhibit the largest vertical vibration.

Details and assumptions

  • The gravitational acceleration is \(g=9.8~\mbox{m/s}^2\).
  • Treat the rubber pad as a spring.

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