Foundations of Newtonian Mechanics: Point Mass Dynamics

Understanding how objects move under the influence of forces is the cornerstone of physics and engineering. This course provides a clear, step-by-step introduction to Newtonian mechanics, focusing on the simplified yet powerful model of the point mass. By working through this written course, you will transition from basic physical intuition to mathematically analyzing real-world systems. You will learn how to set up equations of motion, apply coordinate systems, and interpret physical phenomena systematically. What you'll learn: - Understand the fundamental definitions of kinematics, including position, velocity, and acceleration vectors - Apply Newton's three laws of motion to point masses in various physical scenarios - Analyze forces such as gravity, friction, tension, and normal forces using free-body diagrams - Solve equations of motion in Cartesian, polar, and cylindrical coordinate systems - Calculate work, energy, and momentum conservation to simplify complex dynamical systems - Explore modern computational approaches to numerically simulate trajectories and motion The course begins with essential mathematical tools and vector calculus definitions before moving into Newton's laws and practical problem-solving strategies for different force fields. You will progress through structured written explanations, step-by-step derivations, and practical practice problems. This course is designed for beginning physics students, engineering undergraduates, or anyone looking to build a rock-solid foundation in classical mechanics from scratch. No prior university-level physics experience is required, though basic algebra and introductory calculus are helpful. Start reading today to master the core principles governing the physical world.