University of Oxford Physics Year 1 – Mechanics and Relativity (CP1) Complete Lecture Notes & Revision Guide

Comprehensive handwritten lecture notes for the University of Oxford Year 1 Physics course "Mechanics and Relativity (CP1)". These notes provide a structured and detailed treatment of the material covered throughout the course, including derivations, worked examples, key formulas, diagrams, and explanations designed to support both understanding and revision. Topics covered include: • Newton's laws of motion, energy, work, impulse, and conservation of momentum • Variable-mass systems and rocket motion • Vector methods and vector differentiation • Kinematics and particle motion in one and two dimensions • Projectile motion and damping forces • Motion of charged particles in electric and magnetic fields • Dimensional analysis and scaling arguments • Centre of mass systems, momentum frames, torque, and angular momentum • Conservation laws and two-body collisions • Central force motion, planetary motion, satellite motion, and Coulomb interactions • Calculus of variations, Hamilton's principle, and Euler-Lagrange equations • Constraints, normal coordinates, small oscillations, and compound pendula • Noether's theorem, conservation laws, and Hamiltonian mechanics • Moments of inertia, rigid body dynamics, rolling motion, and principal axes • Special relativity, Lorentz transformations, time dilation, length contraction, and velocity addition • Relativistic energy and momentum, particle scattering and decay, and relativistic Doppler effects The document consists of carefully organized handwritten notes taken during the course and is suitable for lecture review, tutorial preparation, revision, and exam preparation. Ideal for Oxford Physics students and anyone studying introductory university-level mechanics and relativity.