boundary-value

Damped Motion Assume that the model for the spring/mass system in Problem 29 is replaced by mx” + 2x’ + kx = 0. In other words, the system is free but is subjected to damping numerically equal to 2 times the instantaneous velocity. With the same initial conditions and spring constant as in Problem 29, investigate whether a mass m can be found that will pass through the equilibrium position at t = 1 second.

Problem 29: http://www.schoolsolver.com/questions/5741-simple-harmonic-motion-the-model-mx-kx-0-for-simple-harmonic-motion-discussed-in-section-51-can-be-related-to-example-2/