Mechanics and Oscillations
University Physics I: Notes and exercises
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About the book
Description
This book is a calculus based treatment of mechanics. The concepts discussed include, measurement and significant figures, motion variables, vectors, forces, relationship between forces and motion, relationship between forces and circular motion, work, energy, relationship between work and energy, potential energy and conservation of mechanical energy, momentum, conservation of momentum, collisions, center of mass, rotational motion, moment of inertia, torque, relationship between torque and rotational motion about a fixed axis, physics of solids and fluids, gravitation and oscillatory motion.
Content
 Introduction to Mechanics
 Measurement
 Significant Figures
 Conversion of Units
 Dimensional Analysis
 Order of Magnitude Calculation
 Brief Review of Trigonometry
 Coordinate Systems
 Motion in One Dimension
 Brief Review of calculus
 Motion Variables
 Uniformly Accelerated Motion
 Motion under Gravity
 Motion Graphs
 Vectors
 Adding Vectors Graphically
 Adding Vectors Analytically
 Unit Vectors
 Dot Product
 Cross Product
 Motion in Two Dimensions
 Two Dimensional Motion Variables
 Uniformly Accelerated Motion
 Projectile Motion
 Uniform Circular Motion
 Non Uniform Circular Motion
 Relative Velocity
 Newton’s Laws of Motion
 Types of Forces
 Solving Force Problems
 Statics
 Dynamics
 Circular Motion and Applications of Newton’s Second Law
 Polar Unit Vectors
 Circular Motion in terms of Polar Coordinates
 Examples of Applications of Newton’s Second Law to Circular Motion
 Work and Energy
 Work done by a Variable Force in one Dimension
 Work done by a Variable Force in two Dimensions
 Work done by the Force due to a Spring
 WorkKinetic Energy Theorem
 Power
 Potential Energy and Conservation of Mechanical Energy
 Conservative Force
 Gravitational Potential Energy
 Elastic Potential Energy
 Conditions of Equilibrium
 Central Forces
 Conservation of Mechanical Energy
 Work done by nonConservative Forces
 Momentum and Collisions
 Conservation of Momentum
 One Dimensional Collision
 Completely Inelastic Collisions
 The Ballistic Pendulum
 Completely Elastic Collisions
 Two Dimensional (Glancing) Collisions
 Center of mass
 Rotation of a Rigid Object about a Fixed Axis
 Angles
 Angular Motion Variables
 Relationship between Linear and Angular Variables
 Uniformly Accelerated Angular Motion
 Moment of Inertia
 Rotational Kinetic Energy
 Moment of Inertia of Solid Objects
 The Parallel axis Theorem
 Rolling Motion
 Torque and Angular Momentum
 Net Torque
 Torque as a cross product
 Relationship between torque and Angular Acceleration for a Rotation about a Fixed Axis
 Work Done by Torque for a Rotation about a Fixed Axis
 WorkKinetic Energy Theorem for Work done by Torque
 Angular Momentum
 Conservation of Angular Momentum
 Static Equilibrium
 Torque due to Weight
 Solids and Fluids
 Solids
 Fluid Statics
 Fluid Dynamics
 Gravitation
 Orbits due to Gravitational Force
 Kepler’s Laws of Planetary Motion
 Gravitational Field
 Gravitational Potential Energy
 Conservation of Mechanical Energy
 Kinetic and Mechanical Energy of Objects in Orbit
 Escape Velocity
 Oscillatory Motion
 Simple Harmonic Motion
 Energy of a Harmonic Oscillator
 An object attached to a spring
 A Simple pendulum
 Physical Pendulum
 Torsional Pendulum
 Brief review of Homogenous second order Differential Equations with Constant Coefficients
 Damped Harmonic Motion
About the Author
Daniel Gebreselasie received a Bachelor’s degree in Physics from Asmara University (in Asmara Eritrea) in 1986. From 1986 to 1989, he worked as a lecturer in the Physics department of Asmara University. In 1989, he joined Baylor University (in Waco, Texas) to pursue Graduate studies in Physics. Daniel received his Master's degree in physics in 1992 and in 1995 earned a Doctorate degree in Condensed Matter Physics. Dr. Daniel Gebreselasie dissertation was in the area of Computational Surface Physics. After graduation, Dr. Gebreselasie worked as a postdoctoral researcher at the Physics department of Baylor University. Currently, he works at Galveston College as a Professor of Physics.