1) Derive the equation of motion for a given system.
2) Obtain the transfer function. Find the state-space model of the system in the format given below.
3) Choose system parameters arbitrarily and set up a mathematical model in Matlab Simulink. Show the graphs of the results you found for the unit step force input.
4) Apply a sine input given below to the previously created system in part 3. Show your state response graphs.
Figure 1: Mass Spring Damper System (Sekil 1: Kutle Yay Damper Sistemi)