# Natural and Driving Frequency of a Spring-Mass System

Does $$f = \frac{1}{2\pi}\sqrt{\frac{k}{m}}$$ measure the natural frequency or driving frequency of a spring-mass system? I can't find any resources which confirm this!

I believe it measures the driving frequency since it changes depending on the mass held by the spring, however, if so, what is the natural frequency representing? The intrinsic vibrations of the spring?

• It's usual to study Simple Harmonic Motion (an idealisation of Natural Oscillations) before studying the "Forced Oscillations" due to an oscillatory driving force. Haven't you studied SHM? [I'm just trying to understand why you asked your question.] – Philip Wood Dec 22 '18 at 16:54