General Physics I Practice Problems, Methods, and Solutions

This essential study guide is designed for students enrolled in a General Physics I college course. The textbook includes problems with detailed solutions to thoroughly teach students the subject matter. It features partially and fully solved exercises and hints to required formulas and answers, enabling students to practice independently while guiding them through problem-solving procedures. The topics covered include vectors and coordinate systems, linear kinematics, linear dynamics, collisions, center of mass, rotational kinematics, rotational dynamics, and simple harmonic motion. With detailed solutions, multiple problem-solving methods, and clear explanations of concepts, this hands-on guide will enhance students' problem-solving skills and foster a solid understanding of General Physics I. Additionally, it serves as a valuable resource for instructors in developing questions, tests, and quizzes.

Vectors and Coordinate Systems.- Inner Product (Dot Product).- Vector Product (Cross Product).- Heuristic Approaches.- Linear Kinematics.- Average Velocity.- Relative Motion.- Free Fall and Uniformly Accelerated Motion.- Projectile Motion.- Power.- Linear Dynamics.- Newton’s Laws.- Newton’s Laws on Inclined Surface.- Newton’s Laws in an Elevator.- Centripetal Force.- Momentum.- Position-dependent Force and Potential Energy.- Conservative Force.- Work-energy Theorem.- Conservation of Mechanical Energy Principle.- Spring Force and Hooke's Law.- Collision and Centre of Mass.- Collision.- Centre of Mass and Theorem of Pappus.- Rotational Kinematics and Dynamics.- Rotational Kinematics.- Moment of Inertia.- Parallel Axis Theorem.- Rotational Dynamics.- Rotational Kinetic Energy.- Conservation of Mechanical Energy Principle.- Work-energy Theorem.- Simple Harmonic Motion.- Equations of Motion, Velocity, Acceleration, and Force of a Simple Harmonic Oscillator.- Kinetic, Potential, and Mechanical Energy of a Simple Harmonic Oscillator.-  Period and Frequency of a Simple Harmonic Oscillator.- Simple Harmonic Motion: Solutions of Problems.- Equations of Motion, Velocity, Acceleration, and Force of a Simple Harmonic Oscillator.- Kinetic, Potential, and Mechanical Energy of a Simple Harmonic Oscillator.- Period and Frequency of a Simple Harmonic Oscillator.

Dr. Mehdi Rahmani-Andebili is an Assistant Professor with the Department of Electrical and Computer Engineering at the University of Alabama. He received his first M.Sc. and Ph.D. degrees in Electrical Engineering from Tarbiat Modares University and Clemson University in 2011 and 2016, respectively, and his second Ph.D. (2nd M.Sc.) in Physics and Astronomy from the University of Alabama in Huntsville in 2019. Moreover, he was a Postdoctoral Fellow at the Sharif University of Technology during 2016-2017. As a professor, he has taught many courses and labs, including Power System Analysis, Electric Machines, Feedback Control Systems Analysis and Design, Signals and Systems, Electromagnetics, Electronics, Digital Logic, Industrial Electronics, Renewable Distributed Generation and Storage, AC Electrical Circuits Analysis, DC Electrical Circuits Analysis, Electrical Circuits and Devices, Fundamental of Electrical Engineering, Essentials of Electrical Engineering Technology, and Algebra and Calculus-Based Physics. Dr. Rahmani-Andebili has over 300 single-author or first-author publications, including journal papers, conference papers, textbooks, books, and book chapters. He is an IEEE Senior Member and a permanent reviewer of many reputable journals. His research areas include Smart Grid, Applications of Artificial Intelligence in Planning and Operation of Power Systems, Integration of Renewables and Energy Storages into Power Systems, Energy Scheduling and Demand-Side Management, Electric Vehicles and Distributed Generation, and Advanced Optimization Techniques in Power System Studies.