Motion of a Flexible Cable in a Vertical Plane: A Dissertation
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.17
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book explores the motion of flexible cables in a vertical plane. The author, an expert in theoretical mechanics, analyzes both inextensible and extensible cables, examining their behavior under varying conditions. By introducing a uniform acceleration to the situation, the author extends the study to include steady motion. The book begins by examining the common catenary, a curve assumed by a flexible, inextensible cable at rest. The author provides equations to describe this curve, discussing its geometry and the tension at various points. The discussion situates the cable's behavior within the broader context of mechanics, drawing from the work of Routh, Appell, Resal, Floquet, and Leautà , among others. The book continues by examining the motion of flexible cables under the influence of a uniform acceleration. The author derives equations to describe the curve assumed by the cable, considering both the extensible and inextensible cases. These equations highlight the relationship between the cable's tension, its acceleration, and the geometric properties of the curve. Throughout, the author presents a thorough analysis of the forces acting on the cable and their impact on its motion. The book is an essential resource for researchers and practitioners in the fields of mechanics, engineering, and applied mathematics. Its insights provide a deeper understanding of the dynamic behavior of flexible cables, with implications for a range of applications, from cable-stayed bridges to robotic manipulators. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781527600478_0
- Title
- Motion of a Flexible Cable in a Vertical Plane: A Dissertation
- Author
- Elmer Daniel Grant
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1527600475
- ISBN 13
- 9781527600478
- Seller catalogs
- Calculus
The question arose, what would be the shape of the curve assumed by the cable when subject to an uniform acceleration? The speed attained is frequently as high as 50 miles per hour.
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Forgotten Books
London, United Kingdom
AbeBooks seller since June 2, 2021
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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