A uniform disk of radius R and mass rests on a horizontal, frictionless surface. A bullet of mass m travels with speed v0 in the horizontal plane when it strikes the outside edge of the disk and becomes embedded in the disk. After the collision, the diskbullet system move with translational speed vcom and angular speed about the center of mass . All answers should be expressed in terms of any or all , m, R and v0. Assume that ≫ m.
(a) What is the final translational speed v com?
(b) What is the final angular speed w?
(c) What is the ratio v„m/o)?
(d) Determine the speeds of each point labeled .
Think of the total motion of the disk as a vector sum of pure rotation about the center of mass and translation.