All Problems

Mechanical Oscillations

Problem 4.88

A certain resonance curve describes a mechanical oscillating system with logarithmic damping decrement \(\lambda=1.60 .\) For this curve find the ratio of the maximum displacement amplitude to the displacement amplitude at a very low frequency.

Reveal Answer
η=(1+λ2/4π2)π/λ=2.1\eta=\left(1+\lambda^{2} / 4 \pi^{2}\right) \pi / \lambda=2.1