1 vote
5k views

### Frequency of Damped Vibrations [duplicate]

In the chapter sound, my book states that the Frequency of damped vibrations is less than the natural frequency but I could not understand this because in damped vibrations the amplitude decreases and ...
2k views

### What is the difference between Natural frequency and Resonant frequency? [duplicate]

I was previously under the impression that natural and resonant frequencies are the same. However, after doing some research they don't appear to be the exact same. Could someone please explain the ...
2k views

### Why damping affect natural frequency of simple harmonic motion? [duplicate]

I am curious about that since damping will not affect frequency of SHM, then why it does affect on the natural frequency of the SHM. In the resonance damping graph the peak amplitude become lower but ...
• 83
1 vote
185 views

### Forced Vibrations [duplicate]

Forced Vibrations are the vibrations under the influence of an external periodic force. Their amplitude depends on the frequency of the external force. If it is equal to the natural frequency of the ...
59 views

### Forced Oscillations: What exactly is happening? [duplicate]

In a forced oscillation, what exactly is happening? My textbook says that: The oscillator, initially, oscillates with the natural frequency. When we apply external periodic force, the oscillation with ...
• 127
21 views

### Fourier Transform of Damped Oscillations - Zero Frequency Peak and Shift [duplicate]

A damped oscillator has the time evolution: $$y(t) = e^{-\Gamma t}\cos^2(\tilde{\omega}_0 t)$$ where $\Gamma$ is the damping rate, $\tilde{\omega}_0^2=\omega_0^2-\Gamma^2$ and $\omega_0$ is the ...
• 137
927 views

### Is resonance a general property of second-order differential equations?

I have read at this site as an answer at a question about how antennas work but that is not important The resonant frequency of an antenna is determined by its constitution. Mathematically speaking, ...
15k views

### Definition of the $Q$ factor?

According to Wikipedia, the $Q$ factor is defined as: $$Q=2\pi\frac{\mathrm{energy \, \, stored}}{\mathrm{energy \, \,dissipated \, \, per \, \, cycle}}.$$ Here are my questions: Does the energy ...
5k views