- #1

EpselonZero

- 301

- 18

- Homework Statement:
- Measuring the natural frequency of a spring-mass system with the driving force graph

- Relevant Equations:
- $$F = \frac{\omega}{2\pi}, \omega = \frac{2\pi}{T}$$

Hi,

On a driving force graph ##y = displacement (m)## and ##x = time## where the external force start at t = 0 and the system is in equilibrium at x=0, it's easy to find the driving frequency.

$$F = \frac{\omega}{2\pi}, \omega = \frac{2\pi}{T}$$ and we can get ##T## easily with the steady state part of the graph.

However, is there a way to find the natural frequency and the driving force amplitude?

Maybe by finding where ##w_d = w_0##, which is the resonance frequency.

On a driving force graph ##y = displacement (m)## and ##x = time## where the external force start at t = 0 and the system is in equilibrium at x=0, it's easy to find the driving frequency.

$$F = \frac{\omega}{2\pi}, \omega = \frac{2\pi}{T}$$ and we can get ##T## easily with the steady state part of the graph.

However, is there a way to find the natural frequency and the driving force amplitude?

Maybe by finding where ##w_d = w_0##, which is the resonance frequency.

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