Classical Mechanics: Centre of Mass and Conservation of Momentum

Understanding how systems of particles move requires mastering the concept of the center of mass—a crucial building block in classical mechanics. By the end of this course, you will be able to analyze the motion of complex systems using the center of mass framework, accurately calculate momentum changes during collisions, and apply the principles of conservation to solve foundational physics problems. What you'll learn: Understand the theoretical definition and physical significance of the center of mass (COM). Calculate the center of mass for discrete particle systems and continuous rigid bodies (1D and 2D). Apply the conservation of linear momentum to analyze isolated systems and external forces. Differentiate between elastic and inelastic collisions and calculate final velocities and energy loss. Practice solving problems using both the lab frame and the center of mass frame of reference. The course begins with fundamental definitions and derivations, progresses through detailed methods for calculating COM, and culminates in the application of momentum and collision theory through worked examples and practice exercises. This course is designed for absolute beginners in mechanics. No prior advanced physics knowledge is required, only basic algebra skills. Start building your foundational knowledge in classical mechanics today.