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In a forced oscillation, what happens when the driving frequency matches the nat

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Question: In a forced oscillation, what happens when the driving frequency matches the natural frequency of the system?

Options:

  1. The system oscillates with minimum amplitude
  2. The system oscillates with maximum amplitude
  3. The system stops oscillating
  4. The system oscillates at a different frequency

Correct Answer: The system oscillates with maximum amplitude

Solution:

When the driving frequency matches the natural frequency, resonance occurs, leading to maximum amplitude.

In a forced oscillation, what happens when the driving frequency matches the nat

Practice Questions

Q1
In a forced oscillation, what happens when the driving frequency matches the natural frequency of the system?
  1. The system oscillates with minimum amplitude
  2. The system oscillates with maximum amplitude
  3. The system stops oscillating
  4. The system oscillates at a different frequency

Questions & Step-by-Step Solutions

In a forced oscillation, what happens when the driving frequency matches the natural frequency of the system?
Correct Answer: Resonance occurs, leading to maximum amplitude.
  • Step 1: Understand what forced oscillation means. It is when a system is made to vibrate by an external force.
  • Step 2: Know what natural frequency is. It is the frequency at which a system naturally wants to vibrate.
  • Step 3: Learn about driving frequency. This is the frequency of the external force applied to the system.
  • Step 4: Recognize that when the driving frequency matches the natural frequency, it creates a special condition called resonance.
  • Step 5: Understand that resonance causes the system to vibrate with a much larger amplitude than at other frequencies.
  • Step 6: Conclude that when resonance occurs, the system can reach its maximum possible movement or amplitude.
  • Resonance – Resonance occurs when the driving frequency of an external force matches the natural frequency of a system, resulting in a significant increase in amplitude of oscillation.
  • Natural Frequency – The natural frequency is the frequency at which a system tends to oscillate in the absence of any driving force.
  • Forced Oscillation – Forced oscillation refers to the oscillation of a system that is driven by an external periodic force.
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