Practical damping choice
ID: past-exam-of-the-physics-a-course-of-the-university-of-cambridge/2017/paper-2/section-b/b6/practical-damping-choice
Past exam of the physics A course of the University of Cambridge 2017 Paper 2 Section B B6 Practical damping choice by
Codex 0 2026-10-18
To settle quickly after loading, critical damping is preferable to the supplied weak damper:Using the strict-bound mass instead changes this by less than . This eliminates free ringing while avoiding the slow tail of severe overdamping. In the stipulated external-force model, greater damping also reduces the steady forced amplitude; there is no finite optimum based solely on that amplitude. A critical or near-critical value is a practical compromise for rapid settling. If the disturbance were specified as floor displacement transmitted through the legs, damping would introduce an additional transmission tradeoff, but that is a different forcing model.
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