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CHAPTER

                                                   Dynamics of a
                   13                              Rigid Body

















































                                                   CONCEPTS IN CONTEXT                                          Concepts
                                                                                                                   in
                                                   The Gravity Probe B satellite, containing four high-precision gyroscopes,  Context
                13.1 Work, Energy, and Power in    was recently placed in orbit by a rocket.These gyroscopes are used for a del-
                     Rotational Motion; Torque     icate test of Einstein’s theory of General Relativity. The rotor of one of
                13.2 The Equation of Rotational    these gyroscopes is shown here. It consists of a nearly perfect sphere of
                     Motion                        quartz, 3.8 cm in diameter, suspended electrically and spinning at 10000
                13.3 Angular Momentum and Its      revolutions per minute.
                     Conservation                     Some of the questions we can address with the concepts developed in
                                                   this chapter are:
                13.4 Torque and Angular
                     Momentum as Vectors
                                                   ? When initially placed in orbit, the rotor is at rest. What torque and
                                                     what force are needed to spin up this gyroscope with a given angular
                                                     acceleration? (Example 4, page 401)
                                                   ? A rotating body, such as this rotor, has not only kinetic energy,
                                                     but also an angular momentum, which is the rotational analog of the
                                                     linear momentum introduced in Chapter 10. How is the angular
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