, Classical Mechanics
This book of problems and solutions in classical mechanics is dedicated to junior or
senior undergraduate students in physics, engineering, applied mathematics, astron-
omy, or chemistry who may want to improve their problem-solving skills, or to fresh-
man graduate students who may be seeking a refresh of the material.
The book is structured in 10 chapters, starting with Newton’s Laws, motion with
air resistance, conservation laws, oscillations, and the Lagrangian and Hamiltonian
Formalisms. The last two chapters introduce some ideas in nonlinear dynamics,
chaos, and special relativity. Each chapter starts with a brief theoretical outline and
continues with problems and detailed solutions. A concise presentation of differen-
tial equations can be found in the appendix. A variety of problems are presented,
from the standard classical mechanics problems, to context-rich problems and more
challenging problems.
Key Features:
• Presents a theoretical outline for each chapter
• Motivates the students with standard mechanics problems with step-by-step
explanations
• Challenges the students with more complex problems with detailed solutions
,Classical Mechanics
Problems and Solutions
Carolina C. Ilie
Zachariah S. Schrecengost
Elina M. van Kempen
, First edition published 2023
by CRC Press
4 Park Square, Milton Park, Abingdon, Oxon, OX14 4RN
and by CRC Press
6000 Broken Sound Parkway NW, Suite 300, Boca Raton, FL 33487-2742
© 2023 Taylor & Francis Group, LLC
CRC Press is an imprint of Informa UK Limited
The right of Carolina C. Ilie, Zachariah S. Schrecengost and Elina M. van Kempen to be identified as
authors of this work has been asserted in accordance with sections 77 and 78 of the Copyright, Designs
and Patents Act 1988.
All rights reserved. No part of this book may be reprinted or reproduced or utilised in any form or by
any electronic, mechanical, or other means, now known or hereafter invented, including photocopying
and recording, or in any information storage or retrieval system, without permission in writing from the
publishers.
For permission to photocopy or use material electronically from this work, access www.copyright.com
or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-
750-8400. For works that are not available on CCC please contact
Trademark notice: Product or corporate names may be trademarks or registered trademarks, and are used
only for identification and explanation without intent to infringe.
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library
ISBN: 978-0-367-76844-7 (hbk)
ISBN: 978-1-032-43099-7 (pbk)
ISBN: 978-1-003-36570-9 (ebk)
DOI: 10.1201/9781003365709
Typeset in Times
by SPi Technologies India Pvt Ltd (Straive)
This book of problems and solutions in classical mechanics is dedicated to junior or
senior undergraduate students in physics, engineering, applied mathematics, astron-
omy, or chemistry who may want to improve their problem-solving skills, or to fresh-
man graduate students who may be seeking a refresh of the material.
The book is structured in 10 chapters, starting with Newton’s Laws, motion with
air resistance, conservation laws, oscillations, and the Lagrangian and Hamiltonian
Formalisms. The last two chapters introduce some ideas in nonlinear dynamics,
chaos, and special relativity. Each chapter starts with a brief theoretical outline and
continues with problems and detailed solutions. A concise presentation of differen-
tial equations can be found in the appendix. A variety of problems are presented,
from the standard classical mechanics problems, to context-rich problems and more
challenging problems.
Key Features:
• Presents a theoretical outline for each chapter
• Motivates the students with standard mechanics problems with step-by-step
explanations
• Challenges the students with more complex problems with detailed solutions
,Classical Mechanics
Problems and Solutions
Carolina C. Ilie
Zachariah S. Schrecengost
Elina M. van Kempen
, First edition published 2023
by CRC Press
4 Park Square, Milton Park, Abingdon, Oxon, OX14 4RN
and by CRC Press
6000 Broken Sound Parkway NW, Suite 300, Boca Raton, FL 33487-2742
© 2023 Taylor & Francis Group, LLC
CRC Press is an imprint of Informa UK Limited
The right of Carolina C. Ilie, Zachariah S. Schrecengost and Elina M. van Kempen to be identified as
authors of this work has been asserted in accordance with sections 77 and 78 of the Copyright, Designs
and Patents Act 1988.
All rights reserved. No part of this book may be reprinted or reproduced or utilised in any form or by
any electronic, mechanical, or other means, now known or hereafter invented, including photocopying
and recording, or in any information storage or retrieval system, without permission in writing from the
publishers.
For permission to photocopy or use material electronically from this work, access www.copyright.com
or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-
750-8400. For works that are not available on CCC please contact
Trademark notice: Product or corporate names may be trademarks or registered trademarks, and are used
only for identification and explanation without intent to infringe.
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library
ISBN: 978-0-367-76844-7 (hbk)
ISBN: 978-1-032-43099-7 (pbk)
ISBN: 978-1-003-36570-9 (ebk)
DOI: 10.1201/9781003365709
Typeset in Times
by SPi Technologies India Pvt Ltd (Straive)
