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Natural Frequency

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N/m
kg

Mass-spring response

10.066 Hz

The existing oscillator view compares the undamped and damped motion for the selected system.

Single-degree-of-freedom oscillator

k = 20,000 N/m, m = 5.00 kg

massspring stiffnessmodal displacement

Critical damping

632.46 N s/m

Damping coefficient

12.65 N s/m

Regime

underdamped

Damped free response

Oscillation decays with damping

displacementtimezeta = 0.020fd = 10.064 Hz

Natural frequency

10.066 Hz

63.246 rad/s

Damped frequency

10.064 Hz

63.233 rad/s

Period

0.0993 s

Undamped period

Open Source and Easy to Use Elsewhere

This tool is open source and the underlying logic is fully transparent. You can inspect the code, understand the calculations, and contribute improvements. If you want to use the tool in your own website, course page, or learning platform, you can also embed it directly and start from a ready-made iframe setup for this exact tool.

Open source: review the implementation and see how the results are produced.

Embeddable: preview this tool, copy the iframe, and use it in your own site or LMS.