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CHAPTER

                     Rotation of a



                     Rigid Body                                                                  12














































                              CONCEPTS IN CONTEXT
                  Concepts
                     in
                   Context    This large centrifuge at the Sandia National Laboratory is used for test-
                              ing the behavior of components of rockets, satellites, and reentry vehicles  12.1 Motion of a Rigid Body
                              when subjected to high accelerations. The components to be tested are
                                                                                              12.2 Rotation about a Fixed Axis
                              placed in a compartment in one arm of this centrifuge; the opposite arm
                                                                                              12.3 Motion with Constant
                              holds a counterweight.The arms rotate at up to 175 revolutions per minute,
                                                                                                   Angular Acceleration
                              and they generate a centripetal acceleration of up to 300g.
                                 The concepts of this chapter permit us to answer several questions  12.4 Motion with Time-
                                                                                                   Dependent Angular
                              about this centrifuge:
                                                                                                   Acceleration
                              ? How are the speed and the centripetal acceleration at the end of an  12.5 Kinetic Energy of Rotation;
                                 arm related to the rate of rotation? (Example 5, page 373)        Moment of Inertia
                              ? How do we determine the resistance that the centrifuge offers to
                                 changes in its rotational motion? (Example 12, part (a), page 383)
                              ? How is the kinetic energy of the centrifuge arms related to the rate
                                 of rotation? (Example 12, part (b), page 383)
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