This book serves as a detailed guide to the principles of mechanics, offering in-depth coverage of both statics and dynamics. It is structured into five core chapters, each addressing different aspects of mechanical engineering and physics.

The first chapter, Statics of Particles, introduces the fundamental concepts needed to analyze the forces acting on particles. It begins with basic principles and systems of units before delving into the equilibrium of particles, explaining how forces can be balanced and how to solve problems related to static systems.

The second chapter, Equilibrium of Rigid Bodies, extends these ideas to rigid bodies, where forces are applied not only to particles but to extended objects. Key topics include the principle of transmissibility, which explains how forces can be transferred within a system, and the concept of moments—both about a point and an axis. This chapter also covers more complex systems, introducing Varignon’s theorem and the reduction of multiple forces and couples into simpler equivalent systems. The chapter concludes with equilibrium conditions in both two and three dimensions.

In the third chapter, Distributed Forces, the book examines systems where forces are distributed over an area or volume, such as in beams and structural components. The chapter explores the calculation of centroids and centers of gravity, with methods for determining these properties through integration. It also discusses the moment of inertia, a key concept in analyzing rotational dynamics, and covers several methods for calculating it in composite bodies.

The fourth chapter, Friction, addresses the force that resists motion between two surfaces in contact. It outlines the laws of dry friction, including the coefficients and angles of friction, and explores practical applications such as wedge friction, rolling resistance, and ladder friction. Understanding friction is crucial for analyzing the behavior of machines and structures in real-world scenarios.

The final chapter, Dynamics of Particles, transitions from static analysis to dynamic systems, where forces cause motion. This chapter covers the kinematics and kinetics of particles, including the equations of motion and the principles of work and energy. It also introduces the concepts of impulse and momentum and explores their role in collisions and impacts.

Overall, the book provides a solid foundation in both the theoretical and practical aspects of mechanics. It is designed to be a comprehensive resource for students and professionals in mechanical engineering, physics, and related fields, combining clear explanations with practical problem-solving techniques.