Finding resonance frequency of a hanging mass on a spring

Thread starter Turion
Start date Apr 17, 2013
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Frequency Mass Resonance Resonance frequency Spring

AI Thread Summary

The discussion clarifies the calculation of angular frequency in relation to frequency, emphasizing that angular frequency can be converted to standard frequency units. The equation kx=mg is highlighted as a condition for equilibrium, but it also serves to derive the ratio k/m, which is essential for determining the system's frequency. Understanding this relationship is crucial for analyzing the dynamics of a mass-spring system. The conversation reinforces the importance of these concepts in solving problems related to oscillations. Ultimately, grasping the connection between angular frequency and equilibrium conditions is vital for accurate frequency calculations.

Apr 17, 2013

Turion

Why did they calculate angular frequency if the question asked for frequency?

Also why is kx=mg? Wouldn't that mean the spring is at equilibrium?

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Apr 17, 2013

barryj

You can express frequency as rad/sec or rev/sec.

Also why is kx=mg? Wouldn't that mean the spring is at equilibrium?
In this case the spring is at equilibrium but this relationship allows you to get an expression for k/m and this is needed to get the frequency.

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