Elements of Mechanics

Elements of Mechanics

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ISBN 9781482206548
Cat# K21512



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ISBN 9781482206586
Cat# KE23942



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This lecture note style textbook on mechanics is aimed at undergraduate physics majors and providing a complete introductory course in mechanics based on the lecture course offered at the author’s institution. Ensuring a solid appreciation of the principles of mechanics, it includes the fundamentals and some more advanced topics and teaches though a large number of examples and real life applications. The book includes a range of problems and will be accompanied by a detailed solution manual.

Table of Contents

Physics and Measurement
Kinematics in One Dimension
More Kinematics in One Dimension
Still More Kinematics in One Dimension
Motion in Two and Three Dimensions
Projectile Motion
Circular Motion
Dynamics and Newton’s First Law
Inertia and Newton’s Second and Third Laws
Solving Dynamics Problems Using Newton’s Laws
Ropes and Pulleys
Blocks in Trains and in Contact
Planes and Fancies
Spring Fever
Fact and Friction
Fun with Friction
Cornering: Flat and Banked
Non-Uniform Circular Motion
Drag Forces
Work and Energy
All Work and Some Play
The Work–Energy Theorem
Conservative Forces
Potential Energy
Dynamics from Potential Energy
Total Mechanical Energy
Non-Conservative Forces and Power
Momentum and Impulse
Systems of Particles and Centre of Mass
Seven Amazing Properties of the Centre of Mass
Completely Inelastic Collisions
Rotation and Translation
Introduction to Rotational Dynamics
Mo’ Moments of Inertia
Moment of Inertia Theorems
Torque-y Topics
Pulleys with Rotational Inertia
Angular Momentum
Rolling Motion
Static Equilibrium
Statics: Levers and Ladders
Step It Up
Universal Gravitation
Extended Sources and Energetics
Gravitational Effects and Dynamics
Kepler’s Laws

Mechanics Problems
K Kinematics Problems
D Dynamics Problems
E Energetics Problems
M Momentum and Systems Problems
R Rotation Problems
S Statics Problems
G Gravitation Problems
List of Symbols

Editorial Reviews

"This textbook is unique in many respects. It gives the reader a sense of being part of a lively and personal conversation about physics, engaging your attention from the first page. Advanced mathematical concepts are introduced as a prelude to further study while still maintaining the appropriate level for a first-year calculus-based course. But the most innovative feature of this text is the emphasis on thinking and reasoning about physics starting from basic principles. As a teacher, I often have the goal of developing critical analysis skills in my students; this textbook shows the way."
—Dr. Tom Steele, University of Saskatchewan

"In this delightfully fresh take on the well-worn subject of classical Newtonian mechanics, Patrick Kelly adopts the informal approach of a classroom teacher, using a wealth of thoroughly worked examples to illustrate and develop the concepts introduced at each step of the journey on which his readers are taken. The journey actually covers a lot of ground. Starting from basic kinematical notions, such as average velocity, we are eventually led to appreciate ideas (for example, the fact that orbits under an inverse-square law of force are conic sections) that are quite sophisticated at this introductory level.
Students faced with learning, more or less simultaneously, both basic physics and essential mathematical tools, such as calculus, will appreciate the deftness with which Kelly uses each set of ideas to illuminate the other. Readers will quickly warm to his engaging, and distinctively personal style, with its frequent flashes of humour, and will value the depth of understanding afforded both by the many sidelights he offers and by the alternative treatments he gives for many of the examples from complementary points of view. Those who work systematically through the text, and at least a selection of the 428 problems that supplement it, will gain not only the ability to tackle standard problems with confidence but also the sense that this territory is now home turf."
—Ian D. Lawrie, UnifiedGrandTours.org, and author of A Unified Grand Tour of Theoretical Physics, Third Edition