The discussion is almost entirely limited to motion in an inverse-square gravitational field. Chapter 5 is concerned with orbital motion. Thus we find that most 0f the basic principles of dynamics are developed and applied to a general set of particles before the introduction cf systems with distributed mass. of the dynamics of a single particle and of systems of particles is given in the next two chapters. With this background in kinematics, a general vectorial development. Particular attention is given to rotating reference frames and to vector derivatives relative to these frames. Motion in a plane and also general threedimensional motion are included. Consequently, the kinematical foundations of particle Illotion are discussed rather thoroughly in Chapter 2. It has been my observation that one of the principal sources of difficulty for students of the vectorial approach to dynamics is one of kinematics.
This is in accord with the general policy of giving brief explanations or summaries of new mathematical topics as they arise. those topics in vector analysis which are most commonly used in dynamics. The introductory chapter reviews some of the basic concepts of Newtonian mechanics and gives a short discussion of units and the ir definitions. Nevertheless, an effort has been lllade to treat the subject of dynalllics in a rather general context with the liberal use of idealizations such as particles, massless rods, uniform disks, and so on, without requiring that the ,configurations approximate practical designs in any particular area of present-day technology. The nature of this sequence explains the presence of several rocket and satellite problems among the illustrative examples.
This textbook has evolved from a set of notes which accompany the first of three courses forming a sequence in the general area of flight mechanics. Through the study of the general theory and its application in these exanlples, and by the solution of a variety of problems of comparable difficulty, Inost students can attain a real competence in dynalnics. The greater Inaturity of these students pennits the presentation of the subject from a nlore advanced viewpoint, with additional Inathematical knowledge assunled, and with the inclusion of illustrative examples having more than the usual cOlnplexity. A course at this level is normally taken by first-year graduate students or by undergraduate seniors. Englewood Cliffs, New JerseyĪlthough there has been a steady inlprovelnent in the depth of most introductory courses in dynamics during recent years, the place of an additional course at the intermediate level relnains an important one.
opment.of ~ven in the f dynamics troduction rocket and ~, an effort :ral context :is, uniform pproximate y. Most intron additional )urse at this dergraduate ~entation of lathematical Iples having I theory and of problems lpetence In lny the first mechanics. Greenwood Professor, Department of Aeronautical and Astronautical Engineering University of Michigan
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