Exercise · ZW-HARMONIC-OSCILLATOR-008 · ★★☆ Intermediate
The spring is replaced by one with \(k\) four times larger, with the same \(m\). What happens to the angular frequency \(\omega\)?
Choose one option.
Show answer
- A. It doubles
Explanation
Since \(\omega=\sqrt{k/m}\), multiplying \(k\) by \(4\) multiplies \(\omega\) by \(\sqrt4=2\).
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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