'.-':ews From Ale-ow [Figure [: Before Figure l]: Aer 1981M3. A thin. uniform rod of mass ML and length L . is initially at rest on a frictionless horizontal surface. The moment of inertia of the rod about its center of mass is M1L2x'12. As shown in Figure l. the rod is struck at point P by a mass m; whose initial velocity v is perpendicular to the rod. After the collision. mass lg has velocity -1/2v as shown in Figure 11. Answer the following in terms of the symbols given. a. Using the principle of conservation of linear momentum. determine the velocityr v' of the center of mass of this rod after the collision. b. Using the principle of conservation of angular momentum, determine the angular velocity to of the rod about its center of mass after the collision. c. Determine the change in kinetic energy of the system resulting from the collision