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Formula Undamped Harmonic Oscillator Maximum acceleration    Amplitude    Mass    Spring constant

Formula
Formula: Undamped Harmonic Oscillator
Hooke Law: Displacement of the spring and restoring force
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Maximum acceleration

Unit
Maximum acceleration that can occur in a harmonic oscillation. For a spring pendulum it is the maximum acceleration of the mass connected to a spring. Here \(\omega^2 = \frac{D}{m} \) is the angular frequency squared:$$ a_{\text{max}} ~=~ \omega^2 \, A $$

Amplitude

Unit
Maximum displacement of a harmonic oscillator. In the case of a spring pendulum, it is the maximum distance of the mass from the rest position of the spring (undeflected mass).

Mass

Unit
Mass of the harmonic oscillator. For a spring pendulum, it is in good approximation the mass hanging on the spring. In the case of a spring whose mass cannot be neglected, a part of the mass of the spring must also be taken into account in \(m\) because it also oscillates.

Spring constant

Unit
Spring constant describes the stiffness of a spring, i.e. how well the spring can be deflected.