Differential Equation, assignment help

Differential Equation, assignment help

Describe a mathematical model for swinging saloon doors from a YouTube video. The parts below provide the needed steps.

This is the Video https://www.youtube.com/watch?v=mlQkIiSLCUE&feature=youtu.be

(a) Find a suitable variable (it will depend on time) that describes the motion of one of the saloon doors.

(b) Determine the coefficients for the second order linear differential equation that describes the motion. These coefficients have to be estimated from the video. 

Using the Underdamped motion. 

use t = 7s 

theta = pi/2