How to use physical reasoning to solve surprising paradoxes Ever wonder why cats land on their feet? Or what holds a spinning top upright? Or whether it is possible to feel the Earth's rotation in an airplane? Why Cats Land on Their Feet is a compendium of paradoxes and puzzles that readers can solve using their own physical intuition. And the surprising answers to virtually all of these astonishing paradoxes can be arrived at with no formal knowledge of physics. Mark Levi introduces each physical problem, sometimes gives a hint or two, and then fully explains the solution. Here readers can test their critical-thinking skills against a whole assortment of puzzles and paradoxes involving floating and diving, sailing and gliding, gymnastics, bike riding, outer space, throwing a ball from a moving car, centrifugal force, gyroscopic motion, and, of course, falling cats. Want to figure out how to open a wine bottle with a book? Or how to compute the square root of a number using a tennis shoe and a watch? Why Cats Land on Their Feet shows you how, and all that's required is a familiarity with basic high-school mathematics. This lively collection also features an appendix that explains all physical concepts used in the book, from Newton's laws to the fundamental theorem of calculus.

How do cats land on their feet? Discover how this question stumped brilliant minds and how its answer helped solve other seemingly impossible puzzles The question of how falling cats land on their feet has long intrigued humans. In this playful and eye-opening history, physicist and cat parent Gregory Gbur explores how attempts to understand the cat-righting reflex have provided crucial insights into puzzles in mathematics, geophysics, neuroscience, and human space exploration. The result is an engaging tumble through physics, physiology, photography, and robotics to uncover, through scientific debate, the secret of the acrobatic performance known as cat-turning, the cat flip, and the cat twist. Readers learn the solution but also discover that the finer details still inspire heated arguments. As with other cat behavior, the more we investigate, the more surprises we discover.

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.

Why spend one life worrying . . . when you could spend nine lives napping? Take it from artist Jamie Shelman's wry and furry felines: Cats work reasonable hours (zero), love wisely (from a distance), and live boldly (until someone starts vacuuming). Don't go without these 100 sage lessons: ·Be especially attentive to the one person who doesn’t like you. ·Get away with murder by looking cute. ·Ignore anyone who doesn't worship you. ·Be pleased with your achievements, however small. ·The best solution to a problem is a nap.Live better—live like your cat!

Orthogonal tensors are mainly used to describe rotation. They play a central role in robotics, rigid-body kinematics, and all other branches of engineering mechanics, especially for modelling elastic and inelastic behavior of materials. Whilst vast literature is available for common rotation-related tasks, such as coordinate changes, most reference books tend to cover one or two methods for handling rotations, while often neglecting relatively obscure rotation-related tasks, such as statistical sampling of rotation for multiscale constitutive modeling. Further specialized rotation-related research can be found only in disparate journal articles. Of the few books that do exist, most are aimed at mathematicians, leaving a need for this self-contained engineering focused review that covers both elementary and advanced concepts. Rotation, Reflection, and Frame Changes presents a refreshingly broad range of rotation-related research that is routinely needed in modern engineering practice. By including theorems and physical insight acquired over her 30+ career as both as laboratory and university researcher, Rebecca Brannon has created a truly practical and accessible guide for engineers and scientists in engineering mechanics. Although the book assumes familiarity with multivariate calculus, linear algebra, and elementary tensor analysis, tutorials and provided computer source code guide the reader through more advanced topics.

Uses a question-and-answer format to present a variety of information about cats.

This isn’t just another cat care book! It’s a virtual owner’s manual packed with little-known and entertaining facts presented by two acclaimed experts--all in answer to more than 200 unique questions about the fabulous feline. Broken down into categories, including "Behavior,” "Bodies,” and "Emotions,” it covers everything that cat lovers need to know: Why do cats purr? Do they get embarrassed? Are all white cats deaf? Can a litter have more than one father? Do cats have favorite colors of food? And, finally, there’s an answer to the pressing query that all feline fans have asked for years: Why do cats seek out the one person in the room who doesn’t like them? Although the tone is lighthearted, the information is valuable...and absolutely scientifically accurate.

Learn to communicate with your dog—using their language “Good reading for dog lovers and an immensely useful manual for dog owners.”—The Washington Post An Applied Animal Behaviorist and dog trainer with more than twenty years’ experience, Dr. Patricia McConnell reveals a revolutionary new perspective on our relationship with dogs—sharing insights on how “man’s best friend” might interpret our behavior, as well as essential advice on how to interact with our four-legged friends in ways that bring out the best in them. After all, humans and dogs are two entirely different species, each shaped by its individual evolutionary heritage. Quite simply, humans are primates and dogs are canids (as are wolves, coyotes, and foxes). Since we each speak a different native tongue, a lot gets lost in the translation. This marvelous guide demonstrates how even the slightest changes in our voices and in the ways we stand can help dogs understand what we want. Inside you will discover: • How you can get your dog to come when called by acting less like a primate and more like a dog • Why the advice to “get dominance” over your dog can cause problems • Why “rough and tumble primate play” can lead to trouble—and how to play with your dog in ways that are fun and keep him out of mischief • How dogs and humans share personality types—and why most dogs want to live with benevolent leaders rather than “alpha wanna-bes!” Fascinating, insightful, and compelling, The Other End of the Leash is a book that strives to help you connect with your dog in a completely new way—so as to enrich that most rewarding of relationships.

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