Consider the mechanical system shown in Fig. 2.27. Let I denote the moment of inertia of the bar and block about the hinge. It is assumed that the angular displacement θ is very small. An external force u is applied to the bar as shown. Let y be the displacement of the block, with mass m2, from equilibrium. Find a state-space equation to describe the system. Find also the transfer function from u to y.
Problem is from the book: Linear System Theory and Design 3rd Edition by Chi-Tsong Chen