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A mass-spring system oscillates with a frequency of 2 Hz. If the system is dampe

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Question: A mass-spring system oscillates with a frequency of 2 Hz. If the system is damped, what is the relationship between the damped frequency and the natural frequency?

Options:

  1. Damped frequency is greater
  2. Damped frequency is equal
  3. Damped frequency is less
  4. Damped frequency is unpredictable

Correct Answer: Damped frequency is less

Solution: 

In a damped system, the damped frequency is always less than the natural frequency.

A mass-spring system oscillates with a frequency of 2 Hz. If the system is dampe

Practice Questions

Q1
A mass-spring system oscillates with a frequency of 2 Hz. If the system is damped, what is the relationship between the damped frequency and the natural frequency?
  1. Damped frequency is greater
  2. Damped frequency is equal
  3. Damped frequency is less
  4. Damped frequency is unpredictable

Questions & Step-by-Step Solutions

A mass-spring system oscillates with a frequency of 2 Hz. If the system is damped, what is the relationship between the damped frequency and the natural frequency?
  • Step 1: Understand what a mass-spring system is. It consists of a mass attached to a spring that can move back and forth.
  • Step 2: Know that the natural frequency is the frequency at which the system would oscillate if there were no damping (no energy loss).
  • Step 3: Recognize that damping refers to the presence of forces (like friction) that reduce the energy of the system over time.
  • Step 4: Learn that when damping is present, the system still oscillates, but at a lower frequency than the natural frequency.
  • Step 5: Conclude that in a damped system, the damped frequency is always less than the natural frequency.
  • Damped Frequency vs. Natural Frequency – In a damped mass-spring system, the damped frequency is the frequency of oscillation when damping forces are present, and it is always less than the natural frequency, which is the frequency of oscillation in the absence of damping.
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