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hey everyone this is a quiz i gave n controls so letamp;#39;s look at the solution for this one we have a rotational problem and weamp;#39;ve got two cylinders weamp;#39;ve got one with an inertia of j1 and another one with j2 and notice on the cylinder with j1 here weamp;#39;ve got our applied torque now my arrows you know i made this picture myself so the arrows here indicate going back into the page will be positive then we have a torsional spring here weamp;#39;ve got torsional damper another torsional spring and then finally k3 over here so what we want to do is we want to find the state space representation for this system and weamp;#39;re going to have the outputs be the displacement of j 1 and then the angular velocity of j 2. so two outputs on this one now you have two ways to start this you have to get your equations of motion so you could either go through and do all the free body diagrams and get the equations of motion that way or we could use impedance so iamp;#39;