Foundations of Robot Dynamics and Physics Modeling

Understanding how forces and torques translate into physical robot motion is the cornerstone of robotics engineering. This course demystifies the mathematical modeling required to predict and control how mechanical systems behave in the real world. You will transition from studying static robot positions to analyzing dynamic systems in motion. By reading through clear explanations and working through practical mathematical exercises, you will develop the skills to formulate equations of motion and prepare robot models for modern simulation environments. What you'll learn: Understand the fundamental principles of forces, torques, and rigid-body acceleration in robotics; Formulate robot equations of motion using both Lagrangian and Newton-Euler dynamics; Apply forward and inverse dynamics to calculate joint torques and trajectory accelerations; Analyze the impact of friction, gravity, and external payloads on robot joints; Explore how modern physics engines and URDF models utilize dynamics for realistic simulation. The course begins with foundational definitions of force, inertia, and acceleration before moving step-by-step into complex multi-joint systems. You will progress from single-link models to multi-degree-of-freedom robotic arms through written derivations and conceptual practice. This course is designed for aspiring robotics engineers, students, and hobbyists who want to understand the physics of motion, requiring only a basic background in physics and algebra. Start your journey into robot dynamics today and learn how to model robotic motion with precision.