Professor-Made Engineering Notes

This lecture summary for Dynamics of a Particle (DYN 233) covers plane curvilinear motion using the normal–tangential (n–t) coordinate system, with full derivations of velocity and acceleration in terms of tangential and normal components. It explains the physical meaning of tangential acceleration (rate of change of speed), normal acceleration (centripetal acceleration), radius of curvature, curvature formulas, and circular motion as a special case, including angular velocity and angular ac...

Comprehensive summary of particle dynamics covering rectilinear and plane curvilinear motion, rectangular components, vector derivatives, and projectile motion under constant gravity. Includes clear theory development, core equations, structured procedures, sample problems, exercises, and a full appendix on vector operations for rigorous problem-so

This summary walks through plane curvilinear motion using rectangular coordinates in a direct and systematic way. It starts from the core idea that drives everything in dynamics—the time derivative of a vector—and builds position, velocity, and acceleration carefully in component form. Special attention is given to distinctions that students often confuse, particularly the magnitude of a derivative versus the derivative of a magnitude. The geometric meaning of velocity and acceleration is...

Summary Outline Rectilinear Kinematics: Erratic Motion, Summary Notes, 4 Sample Problems, 7 Preliminary Problems, 9 Exercises............................................................................................................................................................................................................................... This document presents the fundamental principles of rectilinear kinematics for erratic motion in the course DYN 233 – Dynamics of a Particle. ...

These comprehensive engineering notes cover the numerical solution of nonlinear equations and systems of nonlinear equations for MATH 233 – Numerical Methods. The material begins with the fundamentals of nonlinear equations and graphical interpretation of roots, followed by a clear comparison between analytical and numerical solutions. It then develops error analysis concepts including true error, relative error, estimated error, and tolerance criteria used for stopping iterative methods. ...

This document contains structured summary notes on Engineering Dynamics, focusing on the rectilinear kinematics of a particle. It covers continuous motion with constant acceleration, using clear definitions, fundamental concepts, and standard kinematic relationships. Topics include position, displacement, velocity, acceleration, average and instantaneous quantities, constant-acceleration equations, and the use of s–t, v–t, and a–t graphs to analyze motion. The notes are organized for cl...