How do you determine the amplitude of a wave exhibiting simple harmonic motion?

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To determine the amplitude of a wave in simple harmonic motion on a string fixed at both ends, one must consider the tension, applied force, and length of the string. The string resonates at specific frequencies, and the amplitude at the anti-node is influenced by the intensity displacement and the amplitude of the vibrator used. Typically, the resonant frequency for such a setup is around 60 Hz, with a 20 Hz step bandwidth to the next frequency. Understanding how the force acts on the string is crucial, as it affects the overall vibration and amplitude. Proper placement of the oscillator is essential for achieving smooth motion in the string's vibrations.
BrendanC
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When a string, fixed at both ends, has a force exerted on it, how do you determine what the amplitude will be, if the tension, applied force, and length are known?
 
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i have no idea, but clear this up for me, is the string resonating on these frequencies? i think so, and if it is, the amplitud ought to diverge, am i right? I've thought about this for a while, for i needed to measure these frequencies on the lab and i wanted to know where to put the oscillator so it would all move as smooth as it could.
 
How is the force acting on the string? Is it a pulse?

If so the amplitude of the anti-node of the string is a function of the intensity displacement. In other words, if the string has a tension on it (some mass) and then you vibrate the string, the amplitude of the vibrator will determine the amplitude at the resonant frequency. In my experience that's around 60 Hz with a 20 Hz step bandwidth to the next resonant frequency.
 

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