Plot the position, velocity, and acceleration for each system shown in the attached file. Ensure to draw your Free Body Diagram and write out your equations of motion. Use your equations of motion to generate your system block diagram in Simulink. Please label your graphs and screen capture your results. Create one PDF $($multiple pages$)$ for upload.

Problem $1$: $($use the following values$)$:

M$1=3,$ M$2=6,$ K$1=3,$ K$2=1\mathrm{.}5,$ K$3=\mathrm{.}7,$ B$1=\mathrm{.}4,$ B$2=3,$ F$($t$)=6,$ g$=9\mathrm{.}8$