# Machine Dynamics Lecture 1: Introduction Lecture 2: Vector Reference Frame Lecture 3: Basis Transformation Lecture 4: Space vs Body Rotation Lecture 5: Cross Product Matrix Lecture 6: Analytic Derivative Lecture 7: Kinematic Derivative and Angular Velocity Lecture 8: Velocity and Acceleration Equations Lecture 9: Recursive Equation Lecture 10: Acceleration Equation from Midpoint Lecture 11: Motion Genesis Lecture 12: Constrained Equation due to Rolling Path Variable Lecture 13: Rolling Constant Lecture 14: Path Variable Lecture 15: Constrained Path Example Lecture 16: Mass Distribution Lecture 17: Inertial Properties Lecture 18: Newton-Euler Equations Lecture 19: Newton-Euler Equations on A Rotating Plate ODE --- # Agent Instructions: Querying This Documentation If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question. Perform an HTTP GET request on the current page URL with the `ask` query parameter: ``` GET https://nkintc.gitbook.io/brainless/steam/engineering/machine-dynamics.md?ask= ``` The question should be specific, self-contained, and written in natural language. The response will contain a direct answer to the question and relevant excerpts and sources from the documentation. Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.