What is critical damping in an oscillating system?
ADamping so heavy that motion stops halfway back
BDamping that returns it to equilibrium fastest
CDamping that leaves the amplitude unchanged
DDamping that just barely allows one full cycle
Answer & Solution
Correct answer: B. Damping that returns it to equilibrium fastest
1. Critical damping is the amount of damping that brings a system back to equilibrium as quickly as possible.
2. Less damping than this and the system overshoots and crosses equilibrium repeatedly.
3. More damping than this and the system crawls back more slowly instead.
4. So critical damping sits at the boundary that gives the fastest settling, which is why car suspensions and meter needles aim for it.
5. Damping that left the amplitude unchanged would not be damping at all.
_Source: OpenStax College Physics (CC BY 4.0), Ch 16 "Oscillatory Motion and Waves", section 16.7 Damped Harmonic Motion_
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