A sinusoidal force acts on the mass$-$damper$-$spring mechanical system as shown in the figure. The parameters $m_1=2kg,m_2=10kg,k=3000\frac{N}{m},$ and $c=20N\frac{s}{m}.$

The amount force transmitted to the Wall will vary when input force changes its frequency $.$ We define:

Magnitude $(\frac{?}{abs})=$ the ratio between force transmitted to Wall and input force Fsin$(t).$ Phase $(deg)=$ phase angle of the dynamic response.

You are required to derive the equations for the dynamic system $($must be uploaded$),$ Use MATLAB to make a bode plot for Magnitude $($abs$)$ and Phase $($deg$)$ verses $,$ and Add a title 'Your Name Bode Plot' to your bode plot.