Overdamped oscillations and critical damping


A mass m moves in one dimension x subject to a restoring force -kx and a damping force -γ[(x)dot]. What are the conditions for underdamped oscillations, overdamped oscillations, and critical damping?

A) Now, suppose m is 1.02 kg, γ is 0.90 kg/s, and the oscillations are critically damped. What is k?

The object starts at rest, displaced by some amount

B) At what time is the displacement a/2?

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Physics: Overdamped oscillations and critical damping
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