Rigid Body Mechanics
William B. Heard
Rigid Body Mechanics
Mathematics, Physics and Applications
WILEY-VCH Verlag GmbH & Co. KGaA
The Author
William B. Heard
Alexandria, VA
USA
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© 2006 WILEY-VCH Verlag GmbH & Co.
KGaA, Weinheim
All rights reserved (including those of translation into other languages). No part of this book may be reproduced in any form – by photoprinting, microfilm, or any other means – nor transmitted or translated into a machine language without written permission from the publishers. Registered names, trademarks, etc. used in this book, even when not specifically marked as such, are not to be considered unprotected by law.
Printed in the Federal Republic of
Germany
Printed on acid-free paper
Printing betz-druck GmbH, Darmstadt
Binding Litges & Dopf Buchbinderei
GmbH, Heppenheim
ISBN-13: 978-3-527-40620-3
ISBN-10: 3-527-40620-4
This book is dedicated to
Peggy
and the memory of my
Mother and Father
VII
Contents
Preface
XI
1
1
Rotations
1.1
1.1.1
1.1.2
1.1.3
1.1.4
1.1.5
1.1.6
1.2
1.2.1
1.2.2
1.2.3
1.2.4
1.2.5
1.3
1.3.1