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Exercise 104

Avg difficulty 2.5

A mass of mm kg is on a spring with k=3N/mk=3 N/m and c=2Ns/mc=2 Ns/m. Find the mass m0m_0 for which there is critical damping. If m<m0m < m_0, does the system oscillate or not, that is, is it underdamped or overdamped?

Lebl, Notes on Diffy Qs, §2.4 Mechanical vibrations, exercise 104

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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.