by a mass m2 whose initial velocity v is perpendicular to the rod. After the collision, mass m2 has velocity -½v as shown in Figure II. Answer the following in terms of the symbols given. a. the principle of conservation of linear momentum, determine the velocity 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 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. 1982M3. A system consists of two small disks, of masses m and 2m, attached to a rod of negligible mass of length 3l as shown above. The rod is free to turn about a vertical axis through point P. The two disks rest on a rough horizontal surface; the coefficient of friction between the disks and the surface is . At time t = 0, the rod has an initial counterclockwise angular velocity o about P. The system is gradually brought to rest by friction. Develop expressions for the following quantities in terms of m, g, and o l, a. The initial angular momentum of the system about the axis through P
by a mass m2 whose initial velocity v is perpendicular to the rod. After the collision, mass m2 has velocity -½v as shown in Figure II. Answer the following in terms of the symbols given. a. the principle of conservation of linear momentum, determine the velocity 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 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. 1982M3. A system consists of two small disks, of masses m and 2m, attached to a rod of negligible mass of length 3l as shown above. The rod is free to turn about a vertical axis through point P. The two disks rest on a rough horizontal surface; the coefficient of friction between the disks and the surface is . At time t = 0, the rod has an initial counterclockwise angular velocity o about P. The system is gradually brought to rest by friction. Develop expressions for the following quantities in terms of m, l, g, and o a. The initial angular momentum of the system about the axis through P
09%20Rotation%20II%20Angular%20Momentum%20and%20Torque%20Problems.docx