CHAPTER 11 HOMEWORK
1. (p.295 Ex.10) A particle is located at r = (4.0i + 8.0j + 6.0k)m. A force F = (16.0j - 4.0k)N acts on it. What is the torque, calculated about the origin?
2. (p.296 Ex.18) Determine the angular momentum of a 60-kg particle about the origin of coordinates when the particle is at x =7.0m, y = -6.0m, and it has velocity v = (2.0i - 8.0k)m/s.
3. (p.296 Ex.25) Fig 11-25 shows two masses connected by a cord passing over a pulley of radius Ro and moment of inertia I. Mass M1 slides on a frictionless surface, and M2 hangs freely. Determine a formula for (a) the angular momentum of the system about the pulley axis, as function of the speed v of mass M1 or M2, and (b) the acceleration of the system.
4. (p.297 Ex.36) A uniform stick 1.0m long with a total mass of 300g is pivoted at its center. A 3.0g bullet is shot through the stick midway between the pivot and one end (Fig. 11-26). The bullet approaches at 250m/s and leaves at 160m/s. With what angular speed is the stick spinning after the collision?
*5. (p.296 Ex.28) A thin rod of length L and mass M rotates about a vertical axis through its center with angular velocity w. The rod makes an angle f with the rotation axis. Determine the magnitude and direction of L.
*6. (p.297 Ex.39) A 200-kg beam 2.0m in length slides broadside down the ice with a speed of 18m/s (Fig. 11-28). A 50-kg man at rest grabs one end as it goes past and hangs on as boh he and the beam go spinning down the ice. Assume frictionless motion. (a) How fast does the center of mass of the system move after the collision? (b) With what angular velocity does the system rotate about its CM?