Picture 1 of 2
Geometry, Mechanics, and Control in Action for the Falling Cat (Lecture Notes
Condition:
Postage:
International delivery of items may be subject to customs processing and additional charges.
Located in: Hillsdale, NSW, Australia
Delivery:
Estimated between Wed, 17 Jul and Thu, 15 Aug to 43230
Please allow additional time if international delivery is subject to customs processing.
Returns:
Payments:
4 payments of AU $22.29. Learn moreSee terms and apply now for Afterpay - opens in a new window or tab
Shop with confidence
Seller information
- 97.2% positive Feedback
Registered as a business seller
Seller assumes all responsibility for this listing.
eBay item number:145765619745
Item specifics
- Condition
- EAN
- 9789811606878
- UPC
- 9789811606878
- ISBN
- 9789811606878
- MPN
- N/A
- Item Length
- 23.4 cm
- Subject Area
- Mechanical Engineering
- Publication Name
- Geometry, Mechanics, and Control in Action for the Falling Cat
- Publisher
- Springer Verlag, Singapore
- Subject
- Mathematics, Physics
- Publication Year
- 2021
- Type
- Textbook
- Format
- Paperback
- Language
- English
- Item Height
- 235mm
- Item Width
- 155mm
- Item Weight
- 308g
- Number of Pages
- 182 Pages
About this product
Product Information
The falling cat is an interesting theme to pursue, in which geometry, mechanics, and control are in action together. As is well known, cats can almost always land on their feet when tossed into the air in an upside-down attitude. If cats are not given a non-vanishing angular momentum at an initial instant, they cannot rotate during their motion, and the motion they can make in the air is vibration only. However, cats accomplish a half turn without rotation when landing on their feet. In order to solve this apparent mystery, one needs to thoroughly understand rotations and vibrations. The connection theory in differential geometry can provide rigorous definitions of rotation and vibration for many-body systems. Deformable bodies of cats are not easy to treat mechanically. A feasible way to approach the question of the falling cat is to start with many-body systems and then proceed to rigid bodies and, further, to jointed rigid bodies, which can approximate the body of a cat. In this book, the connection theory is applied first to a many-body system to show that vibrational motions of the many-body system can result in rotations without performing rotational motions and then to the cat model consisting of jointed rigid bodies. On the basis of this geometric setting, mechanics of many-body systems and of jointed rigid bodies must be set up. In order to take into account the fact that cats can deform their bodies, three torque inputs which may give a twist to the cat model are applied as control inputs under the condition of the vanishing angular momentum. Then, a control is designed according to the port-controlled Hamiltonian method for the model cat to perform a half turn and to halt the motion upon landing. The book also gives a brief review of control systems through simple examples to explain the role of control inputs.
Product Identifiers
Publisher
Springer Verlag, Singapore
ISBN-13
9789811606878
eBay Product ID (ePID)
9049041812
Product Key Features
Subject Area
Mechanical Engineering
Publication Name
Geometry, Mechanics, and Control in Action for the Falling Cat
Format
Paperback
Language
English
Subject
Mathematics, Physics
Publication Year
2021
Type
Textbook
Number of Pages
182 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Volume
2289
Item Weight
308g
Additional Product Features
Series Title
Lecture Notes in Mathematics
Country/Region of Manufacture
Singapore
Item description from the seller
Seller assumes all responsibility for this listing.
eBay item number:145765619745
Postage and handling
Item location:
Hillsdale, NSW, Australia
Posts to:
Australia, Canada, France, Germany, Italy, New Zealand, Singapore, United States
Excludes:
Afghanistan, Albania, Algeria, American Samoa, Andorra, Angola, Anguilla, Antigua and Barbuda, Armenia, Aruba, Bahamas, Belarus, Bolivia, Botswana, Central African Republic, Chad, Comoros, Democratic People's Republic of Korea, Democratic Republic of the Congo, Djibouti, Ecuador, El Salvador, French Polynesia, Ghana, Greece, Guam, Guinea-Bissau, Guyana, Haiti, India, Indonesia, Israel, Libya, Madagascar, Malaysia, Moldova, Mongolia, Nigeria, Palau, Puerto Rico, Republic of the Congo, Reunion, Russian Federation, Rwanda, Sierra Leone, Somalia, Spain, Suriname, Svalbard and Jan Mayen, Syria, Thailand, Togo, Trinidad and Tobago, Tunisia, Turkey, United Kingdom, Venezuela, Yemen
| Postage and handling | To | Service | Delivery*See delivery notes |
|---|---|---|---|
| AU $2.00 | United States | SpeedPAK Economy |
| Handling time |
|---|
| Will usually post within 10 business days of receiving cleared payment. |
| Taxes |
|---|
| Taxes may be applicable at checkout. Learn moreLearn more about paying tax on eBay purchases. |
Sales tax for an item #145765619745
Sales tax for an item #145765619745
Seller collects sales tax for items posted to the following states:
| State | Sales tax rate |
|---|
Return policy
| Item must be returned within |
|---|
| 30 days after the buyer receives it |
The buyer is responsible for return postage costs.
You must return items in their original packaging and in the same condition as when you received them. If you don't follow our item condition policy for returnsitem condition policy for returns, you may not receive a full refund.
Refunds by law: In Australia, consumers have a legal right to obtain a refund from a business if the goods purchased are faulty, not fit for purpose or don't match the seller's description. More information at returnsreturns - opens in a new window or tab.
Payment details
Payment methods
Seller Feedback (43,818)
n***a (9)- Feedback left by buyer.
Past 6 months
Verified purchase
Arrived quickly and in great condition and tracking was perfect.
Thanks so much
4***p (1064)- Feedback left by buyer.
Past 6 months
Verified purchase
Good delivery time and nice copy except for a diagonal crease of the back cover - not sufficient to return the book but slightly annoying.
p***m (59)- Feedback left by buyer.
Past 6 months
Verified purchase
YOU DON'T DESERVE NICE FEEDBACK. .. SEND ME . BABES IN TOYLAND WITH KEANU REEVES AND ILL SEND YOU THIS
Product ratings and reviews
More to explore:
- Geometry Adult Learning & University Books,
- Geometry Paperback Adult Learning & University Books,
- Geometry Adult Learning & University Books in English,
- Action Comics,
- The Cat in the Hat Fiction Fiction & Books,
- Cats Non-Fiction Hardcover Books,
- Dr. Seuss The Cat in the Hat Fiction Fiction & Books,
- Non-Fiction Cats Fiction & Non-Fiction Books,
- Action Fiction Fiction & Books,
- Action Comics, Graphic Novels & TPBs