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Exercise 101

Avg difficulty 2.5

A mass of 4 kg on a spring with k=4N/mk=4 N/m and a damping constant c=1Ns/mc=1 Ns/m. Suppose that F0=2NF_0 = 2 N. Using the forcing function F0cos⁡(ωt)F_0 \cos (\omega t), find the ω\omega that causes practical resonance and find the practical resonance amplitude.

Lebl, Notes on Diffy Qs, §2.6 Forced oscillations and resonance, exercise 101

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Adapted from Notes on Diffy Qs © 2008–2026 Jiří Lebl. Licensed under CC BY-SA 4.0. Source: Notes on Diffy Qs: Differential Equations for Engineers. Imported at revision 658bcae.