Understanding Vibration in Objects - Dan's Query

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Homework Help Overview

The discussion centers around the concept of vibration in objects, specifically focusing on natural frequencies and how they relate to temperature and external disturbances. The original poster, Dan, seeks to understand why objects can have multiple natural frequencies and the conditions under which certain frequencies are favored over others.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Dan expresses confusion about the existence of multiple natural frequencies in objects and the criteria for vibrating at one frequency over another. Other participants explore the relationship between temperature, thermal energy, and natural frequency, as well as the implications for microwave heating and the behavior of disturbances in objects.

Discussion Status

Participants are actively engaging with the concepts, raising questions about the implications of temperature on natural frequency and the mechanics of microwave heating. There is a mix of interpretations regarding how disturbances affect vibration and resonance, indicating a productive exploration of the topic without a clear consensus yet.

Contextual Notes

Dan's inquiry suggests a need for clarification on fundamental concepts of vibration and resonance, particularly in relation to thermal effects. The discussion also hints at assumptions about the behavior of objects under varying conditions, such as temperature changes and external disturbances.

danago
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Hi.

Im having some problems with conceptually understanding vibration. I understand that every object has its natural frequency at which it tends to vibrate when disturbed. What I am not fully understanding is how an object can have multiple natural frequencies. Why would an object vibrate at one frequency over the other?

Thanks,
Dan.
 
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When an object is at a temperature above absolute zero, its particles oscillate due to the thermal energy they possess. Due to these vibrations, the object has a 'natural frequency'.

Now, if, for example, a certain frequency peaks when the objects natural frequency peaks and falls when the natural frequency falls, it increases the amplitude of vibration of the object. This frequency is usually an integral multiple of the objects natural frequency.

Also, the natural frequency will change with temperature as the thermal energy of the molecules of the object changes.

Hope that helps.
 
Hmmm how would you explain microwave ovens? They use microwaves to 'agitate' the food molecules at their natural frequency. But as the food heats up, wouldn't the frequency the microwave emit have to change over time? Or is it not necessary as the object would hear up in a period much faster than the time the microwave must change its frequency in order that the food heats up proeprly??
 
The propagation speed of a disturbance along the length of the object is constant and does not depend on the impinging disturbance. Due to the fixed length of the object it can support only periodic disturbances that will form (standing) wavelengths that "fits" the length of the object. So if you disturb it at twice its fundamental frequency it would support only half the wavelength ... Disturbances with "other" frequencies will not form standing waves in the object and it would not resonate (respond to the frequencies).
 

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