# What is the equation of motion? [closed]

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.harpJun 18 '18 at 12:12

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• what have you tired so far?? Show some effort , This site is not a place for other to do your homework questions – The Integrator Jun 18 '18 at 8:13
• @ShomAilaKhan Please recall that if the OP is solved you can evaluate to accept an answer among the given, more details here meta.stackexchange.com/questions/5234/… – gimusi Aug 5 '18 at 20:43

HINT

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

• $\zeta=\frac{c}{c_c}$

where

• $c$ is the actual damping

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