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Mechanical Vibrations quizzes

Why machines vibrate, how resonance amplifies motion, and how damping helps control unwanted movement.

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From Mechanical Vibrations: Free undamped single-degree-of-freedom systems · Natural Frequency of a Spring-Mass System

Keeping the same spring, how much must the mass change to halve the natural frequency?

  1. Multiply the mass by eight
  2. Multiply the mass by four
  3. Multiply the mass by two
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Answer: Multiply the mass by four

Since frequency goes as 1/√m, halving it needs √m to double, which means four times the mass.

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