In the links below,I have two problems that require a decent understanding of analyzing dynamic systems. The third link contains solutions to the two problems all the way up to the point where Matlab and Simulink is needed. The objectives are described in the problems below, but as you'll see, I have accomplished the derivation portion of these problems. Please look at and understand the solutions I have derived. It is safe to say a basic grasp on differential equations would make this a much more suitable job for you as well. I will want the files, plus screen shots of diagrams and plots. I put a rough sketch of what I believe problem 2 diagram should look like in simulink. Problem 1 is pretty much given in the problem statement. You will simply need to build it and plot the matrices based on my solution.
Also,I would like to use this as a learning experience with Simulink, so if possible, a procedure on how you built your simulink model would be also required. (Screen shots of your steps will work)