Consider the dynamic system as represented by the differential equation below and shown in Figure 5.40.
This is a rod attached to a fixed end. Assume that the rod can be represented as a rotational spring with spring constant k, and the mass of the rod is concentrated and modeled by the moment of inertia J.
1. Draw the block diagram representing the system.
2. If the torque is represented as a unit step signal, what is the angular rotation in radians?
3. Find the final and the initial values for θ (t).