1978M2. A system consists of a mass M2 and a uniform rod of mass M1 and length l. The rod is initially rotating with an angular speed ω on a horizontal frictionless table about a vertical axis fixed at one end through point P . The moment of inertia of the rod about P is Ml2/3. The rod strikes the stationary mass M2. As a result of this collision, the rod is stopped and the mass M2 moves away with speed v .
a. Using angular momentum conservation determine the speed v in terms of M1,M2,l, and ω.
b. Determine the linear momentum of this system just before the collision in terms of M1,l, and ω.
c. Determine the linear momentum of this system just after the collision in terms of M1l, and ω.
d. What is responsible for the change in the linear momentum of this system during the collision?
e. Why is the angular momentum of this system about point P conserved during the collision?