1. ## Vibratory System

How to make a simulation of the differential equation that represents a mass spring system vibrating?

Considering free vibrations

2. Is there any site on the spring mass system with vibration damped?

3. Originally Posted by Apprentice123
Is there any site on the spring mass system with vibration damped?
Damped Harmonic Oscillator

4. Originally Posted by skeeter
Thank you. I found the equation for the system without damping

Vibration damping with I did not find any material that can help me.

I have to find the equation for a mass spring system with vibration damped, using the differential equations:

$y(t) = Acoswt + Bsinwt$
$y'(t) = -Awsinwt + Bwcoswt$
$y''(t) = -Aw^2coswt - Bw^2sinwt$