Physics -- Need help understanding the concept of resonance please

In summary, Resonance occurs when two frequencies are identical and cause the system to vibrate at that same frequency.
  • #1
danial3333
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I need help about the concept of resonance.
I will be thanksful if someone help me.

Please consider a system has two natural frequencies, and resonance will occur at two these natural frequencies. Now my question is what is different between these two renosances that has occured? And Which property do have those two natural frequencies?
 
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The response of a system to different frequencies can be handled separately and summed. It's not clear what you mean by "what is different" and "which property". A system can respond to different frequencies in the same axes, on different axes, or on overlapping sets of axes. The same can be said about the states of a system -- two resonant frequencies can affect the same states, different states, or overlapping sets of states. It can be analysed by looking at the eigenstructure of the (linearized) system.
 
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  • #4
danial3333 said:
Please consider a system has two natural frequencies, and resonance will occur at two these natural frequencies. Now my question is what is different between these two renosances that has occured?

Each is the frequency of a different mode of vibration.

And Which property do have those two natural frequencies?

Frequency of vibration is a property of the system. It doesn't make sense to say that frequency has a property.
 
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  • #5
A system will have certain properties at any frequency: gain and phase shift. The properties of a frequency are the frequency, wave length, and amplitude.
At a resonant frequency, it is important to know the system gain, which determines if it is stable or divergent. This includes frequency 0, which will either fade exponentially to 0 or grow exponentially to infinity. If the frequency is non-zero, the amplitude of the cycles will still grow or fade exponentially. One property that is nice to know is the "time to double", which tells you how much time there is to control any divergent behavior.
 
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Thanks for Helping
 

1. What is resonance in physics?

Resonance in physics is a phenomenon that occurs when an object is exposed to a periodic force or vibration at its natural frequency. This results in a significant increase in the amplitude of the object's oscillations.

2. How does resonance work?

Resonance works by causing the object to vibrate at its natural frequency, which is determined by its physical properties such as size, shape, and material. This vibration is then reinforced and amplified by the periodic force, resulting in a large amplitude oscillation.

3. What are some examples of resonance in everyday life?

Some examples of resonance in everyday life include a swing being pushed at its natural frequency, causing it to swing higher, or a singer breaking a wine glass by singing at its resonant frequency. Resonance can also be observed in musical instruments, bridges, and even buildings during earthquakes.

4. How is resonance different from frequency?

Resonance and frequency are related but different concepts. Frequency refers to the number of oscillations or vibrations per unit of time, while resonance is the phenomenon that occurs when an object vibrates at its natural frequency in response to a periodic force. In other words, frequency is a physical quantity while resonance is a phenomenon.

5. How is resonance used in technology?

Resonance is used in various technologies, such as radio and TV circuits, to amplify signals and improve their reception. It is also used in musical instruments to produce certain tones and in medical imaging techniques such as MRI to detect and amplify signals from specific tissues in the body.

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