A 1/8 kg mass is attached to a spring with stiffness 16 N/m. The damping constant for the system is 2 N-sec/m. If the mass is moved 8/15 m to the left of equilibrium and given an initial leftward velocity 56/15 m/sec, determine the equation of motion of the mass and give its damping factor, quasiperiod and quasfrequency.

What is the equation of motion?

y(t) = ____ ?


closed as off-topic by José Carlos Santos, Saad, Cave Johnson, Jose Arnaldo Bebita-Dris, s.harp Jun 18 '18 at 12:12

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Recall that the kind of motion is determined by the damping ratio

  • $\zeta=\frac{c}{c_c}$


  • $c$ is the actual damping

  • $c_c=2\sqrt{km}\,$ is the critical damping


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