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11: Mechanical Systems with Rigid-Body Plane Translation and Rotation

  • Page ID
    7697
  • Up to this point, we have considered mechanical systems with motion consisting of either translation in only one direction or rotation about one axis, but not both together. Simple rotational systems have appeared in previous chapters (for example, in Sections 3.3, 3.5, and 7.1), but now we will treat rigid-body plane motion more generally, as consisting of both translation and rotation, and with the two forms of motion possibly coupled together by system components and system geometry. The focus in this chapter is on deriving correctly the equations of motion, which generally are higher-order, coupled sets of ODEs. Chapter 12 introduces some methods for solving such equations, leading to fundamental characteristics of an important class of higher-order systems.