Physics & chemistry
Principles of Mechanics: Fundamental University Physics
Salma Alrasheed
Springer Nature Switzerland AG · 2019 open access edition · English · Published 2019
University mechanics covering units, vectors, motion, force, energy, collisions, rotation, rolling, central forces and oscillations.
- Learning stage
- College introduction
- Prerequisites
- Algebra, trigonometry and introductory calculus.
- PDF pages
- 179 in this file
- Editorial review
- 2026-10-29
Contents
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Preface
Contents
1 Units and Vectors
1 Units and Vectors
1.1 Introduction
1.2 The SI Units
1.3 Conversion Factors
1.4 Dimension Analysis
1.5 Vectors
1.6 Vector Algebra
1.7 Coordinate Systems
1.8 Vectors in Terms of Components
1.9 Derivatives of Vectors
1.10 Integrals of Vectors
2 Kinematics
2 Kinematics
2.1 Introduction
2.2 Displacement, Velocity, and Acceleration
2.3 Motion in Three Dimensions
2.4 Some Applications
2.5 Relative Velocity
2.6 Motion in a Plane Using Polar Coordinates
3 Newton's Laws
3 Newton's Laws
3.1 Introduction
3.2 Newton's Laws
3.3 Some Particular Forces
3.4 Applying Newton's Laws
4 Work and Energy
4 Work and Energy
4.1 Introduction
4.2 Work
4.3 Kinetic Energy (KE) and the Work–Energy Theorem
4.4 Conservative and Nonconservative Forces
4.5 Conservation of Mechanical Energy
5 Impulse, Momentum, and Collisions
5 Impulse, Momentum, and Collisions
5.1 Linear Momentum and Collisions
5.2 Conservation of Linear Momentum
5.3 Impulse and Momentum
5.4 Collisions
5.5 Torque
5.6 Angular Momentum
6 System of Particles
6 System of Particles
6.1 System of Particles
6.2 Discrete and Continuous System of Particles
6.3 The Center of Mass of a System of Particles
6.4 Motion Relative to the Center of Mass
7 Rotation of Rigid Bodies
7 Rotation of Rigid Bodies
7.1 Rotational Motion
7.2 The Plane Motion of a Rigid Body
7.3 Rotational Motion with Constant Acceleration
7.4 Vector Relationship Between Angular and Linear Variables
7.5 Rotational Energy
7.6 The Parallel-Axis Theorem
7.7 Angular Momentum of a Rigid Body Rotating about a Fixed Axis
7.8 Conservation of Angular Momentum of a Rigid Body Rotating About a Fixed Axis
7.9 Work and Rotational Energy
7.10 Power
8 Rolling and Static Equilibrium
8 Rolling and Static Equilibrium
8.1 Rolling Motion
8.2 Rolling Without Slipping
8.3 Static Equilibrium
8.4 The Center of Gravity
9 Central Force Motion
9 Central Force Motion
9.1 Motion in a Central Force Field
9.2 The Law of Gravity
9.3 Conic Sections
9.4 Kepler's Laws
9.5 Circular Orbits
9.6 Elliptical Orbits
9.7 The Escape Speed
10 Oscillatory Motion
10 Oscillatory Motion
10.1 Oscillatory Motion
10.2 Free Vibrations
10.3 Free Undamped Vibrations
10.4 Damped Free Vibrations
10.5 Forced Vibrations
References
Sources and permissions
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Author, publisher, and discovery sources
Authors: Salma Alrasheed
Publisher: Springer Nature Switzerland AG
- Discovered through Open Textbook Library: Source record · Checked 2026-10-27
- Discovered through Open Textbook Library: Source record · Checked 2026-10-25
CC BY 4.0
Principles of Mechanics: Fundamental University Physics by Salma Alrasheed, Springer Nature Switzerland AG, 2019. CC BY 4.0. DOI: 10.1007/978-3-030-15195-9. Original PDF unchanged; publisher and chapter credits retained.
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Checked 2026-10-29