The 30-kg slender rod AB in the gravity field rests in the vertical position shown in Fig. 1 when the couple moment of M = 150 N m is applied. Neglect the mass of the rollers. Please answer the following questions. (a) Draw a free-body diagram of the rod. Remember to include the gravity. (b) Express the acceleration of rollers A and B in terms of the angular acceleration of the rod AB? (c) Represent the centroid acceleration in terms of angular acceleration . (d) What is the angular acceleration of the rod AB? What are the reaction forces at rollers A and B