Two masses (M and M) are attachedto the ends of a massless rigid rod. The rod is mounted on an axle(the axis of rotation is the z axis) through the center; the twomasses are both at distance R from the axle. The masses and rod areinitially at rest. A third mass m, with initial velocity v0 [^(j)], will collide headon with the mass M on the right, as shown. The collision isperfectly elastic. After the collision the mass m will eithercontinue moving in the same direction or it will bounce back andmove in the -y direction.
(A) Determine the final speed of m. (B) Find the condition on the masses such that the mass m bouncesbackward. (C) Determine the final angular velocity of the rod. [[Hint: What quantities are constants of the motion?]]
