---
# System prepended metadata

title: 2020.4.17(12)
tags: [Mechanics, Osciliation]

---

---
tags : Mechanics,Osciliation
title : 2020.4.17(12)
---
# Mechanics(12)
## Damped Osciliation
### Critical Damping
The border of damped osciliation and over damping.When $\gamma = \omega_0$,
$\ddot{f} =0$ is completed,so this solution is $f=at+b$. Therefore, original solution is

$\large x(t)=e^{\gamma t}(at+b)$

![](https://i.imgur.com/d9LLTwu.jpg)
