Understanding Vibration in Objects - Dan's Query

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Every object has a natural frequency at which it vibrates when disturbed, and it can have multiple natural frequencies due to its structure and material properties. The amplitude of vibration increases when an external frequency coincides with the object's natural frequency, often at integral multiples of it. Temperature affects natural frequency, as thermal energy causes particle oscillation, altering the frequency as the object heats up. In microwave ovens, microwaves agitate food molecules at their natural frequency, but the frequency does not need to change significantly during heating since the process occurs rapidly. Disturbances at non-resonant frequencies will not produce standing waves, meaning the object will not resonate effectively.
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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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