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entropy1
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If I have a spring with resonance frequency fres and I drive it with frequency fdrive, the spring will oscillate in a superposition of two frequencies, right?
Which frequencies are they?
Which frequencies are they?
Will the spring's oscillation vary in amplitude (if de driver amplitude is constant)?mfb said:If you keep driving it with the same amplitude it will oscillate with fdrive.
I think because of the resonance; the spring tends toward it. For instance: if fdrive=fres+d with d a small number, the spring's resonance frequency will interfere with the driver's frequency and produce a slow oscillation fres-fdrive I suspect. I recall having seen this at high school but I'm not sure. It is like the spring's phase aligning with the driver's phase and then run out of phase and run back in it again. Is this correct?mfb said:Why would you expect any variation?
An oscillation in a driven spring is a repetitive back-and-forth motion of a spring that is caused by an external force or driving force. This motion is characterized by a constant amplitude and a constant frequency.
Oscillations in a driven spring are caused by an external force or driving force acting on the spring. This force can be applied through various means, such as a hand, a motor, or a magnetic field.
The frequency of the driving force has a direct impact on the frequency of the oscillations in a driven spring. When the frequency of the driving force is equal to the natural frequency of the spring, resonance occurs and the oscillations will reach their maximum amplitude.
Damped oscillations in a driven spring occur when there is a dissipative force acting on the spring, causing the amplitude of the oscillations to decrease over time. Undamped oscillations, on the other hand, occur when there is no dissipative force and the amplitude of the oscillations remains constant.
The period of oscillation in a driven spring can be calculated using the equation T = 2π√(m/k), where T is the period, m is the mass of the object attached to the spring, and k is the spring constant. This equation assumes that the oscillations are undamped and the driving force is at the resonant frequency.