Consider the dynamic system as represented by the differential equation below and shown in Figure 5.40.
![9_1a961801-f227-49e2-a7cc-7fdfc81de0bd.png](https://secure.tutorsglobe.com/CMSImages/9_1a961801-f227-49e2-a7cc-7fdfc81de0bd.png)
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.
![1747_aeda3ad9-5fc9-48c0-aa9a-fd6435c2c8b1.png](https://secure.tutorsglobe.com/CMSImages/1747_aeda3ad9-5fc9-48c0-aa9a-fd6435c2c8b1.png)
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).