1. A system comprised of a solid disk and thin rod is shown below: The axes are in units of meters. Suppose the system is rotating around origin in a counterclockwise direction. Suppose further that the disk has mass density pd = 10 kg/m2 and the rod has mass density pr = 20 kg/m. (25 points) (a) What is the rotational inertia of the system? At time t = 0, the system is rotating with angular Speed w;- = 5 rad / s and a force (green arrow in gure) 13(t = 0) = [i E] is applied at the left end of the rod. As time passes, I?\" has the same magnitude and maintains a xed angle 6 with the rod. (b) At what time is the system stationary? (c) How much has the system rotated (from t = 0) when it reaches twice its original angular speed