Exercise · ZW-HARMONIC-OSCILLATOR-003 · ★☆☆ Basic
A mass \(m=1\) on a spring with \(k=4\) oscillates without damping. What is the period \(T\)?
Choose one option.
Show answer
- A. \(\pi\)
Explanation
\(\omega=\sqrt4=2\) and \(T=2\pi/\omega=\pi\). The value \(2\pi\) corresponds to \(\omega=1\).
Review the concept: Harmonic oscillator
Model of a mass \(m\) attached to a spring of constant \(k\), with no friction or external force, whose position \(y(t)\) oscillates with angular frequency \(\omega\) about equilibrium.
\[my''+ky=0,\qquad \omega=\sqrt{k/m}\]
More practice problems: harmonic oscillator
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