Critical damping is the case where the mass never actually crosses over equilibrium position, but reaches equilibrium as fast as possible.  Experiment with changing c to find the critical damping constant.  Use the same initial conditions as in the last problem.  Zoom in a bit to make sure you don't allow any oscillations to take place - even small ones.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.52P: A particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where...
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Critical damping is the case where the mass never actually crosses over equilibrium position, but reaches equilibrium as fast as possible.  Experiment with changing c to find the critical damping constant.  Use the same initial conditions as in the last problem.  Zoom in a bit to make sure you don't allow any oscillations to take place - even small ones.

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