Consider a thin wooden rod of mass M, length d and moment of inertia ICM = (1/12) Md2 which hangs vertically from one end on a frictionless pivot, as shown in the figure. A bullet of mass m is shot horizontally with velocity v into the other end of the rod and it is embedded in the rod. The rod and the bullet in it begin to rotate. This system momentarily comes to rest at angle max. Express your answers in terms of the quantities given in the problem and some constants as needed. X me Pivot d max M 160 (a) (6 pts) (i) What kind of a collision is between the rod and bullet? Are (ii) the mechanical energy E, (iii) the linear momentum P and (iv) the angular momentum L conserved during the collision? (v) Are they conserved after the collision? Give a brief explanation for each answer.