Gebreselasie Daniel. Mechanics and Oscillations. University Physics I: Notes and exercises

Bookboon, 2015. — 319 p. — ISBN: 978-87-403-1164-8.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.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
Work-Kinetic 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 non-Conservative 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
Work-Kinetic 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