Understanding Resonance: Causes and Effects in Oscillating Systems

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An oscillating system under resonance oscillates with the largest amplitude because the driving force and the system's velocity align, allowing for continuous work and increasing mechanical energy. Resonance occurs when the driving frequency matches the natural frequency, ensuring that the driving force effectively reinforces the system's oscillation. The alignment of these frequencies maximizes energy transfer, leading to larger amplitudes. Resonance is unlikely to occur at frequencies other than the natural frequency, as this would disrupt the synchronization necessary for amplification. Overall, the principles of resonance highlight the importance of frequency matching in oscillating systems.
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Why does an oscillating system under resonance oscillate with the largest amplitude? And why does resonance occur when the driving frequency match the natural frequency? Can resonance occur at frequency other than natural frequency?
 
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Harmony said:
Why does an oscillating system under resonance oscillate with the largest amplitude?

Because, in absence of a damping force, the driving force and the velocity of the system have the exact same direction. Therefore, a positive amount of work is constantly being done, and therefore, the mechanical energy of the system is increasing.
So, the amplitude will, in absence of a damping force, increase without limit.

And why does resonance occur when the driving frequency match the natural frequency?

Because, since the driving frequency matches the natural frequency, the direction of the driving force matches the direction of the oscillating system's frequency.

Can resonance occur at frequency other than natural frequency?

I'm pretty sure it can't.
 

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