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Mechanics (MATH 261/PHY 101) Instructor’s Name: Zaeem H. Jafri Office No. & Email: Room 119. Office Hours: To be announced later [email protected] Year: 2003-2004 Quarter: Winter Category: Sophomore TA for the Course: Course Code (Units) Course Description Math 261: Mechanics (3 Units) This course is spread over three modules (Force and Linear Motion, Energy and Angular Motion). It utilizes mathematics and physics to investigate the laws and concepts of mechanics. It begins with measurement systems and Newtonian concepts of force and motion. Motion is examined in two and three dimensions and concepts of momentum, friction, work, energy, power and conservation are studied in detail. Finally an indepth study of rotational motion covering concepts of torque and angular momentum along with applications is dealt with. The course ends with a good insight into gravitational force and the laws of planetary motion. Core/Elective Elective Pre-requisites None Goals At the end of the course the student should be Having a good understanding of the laws and concepts of mechanics. Having a good back ground for any further academic work in subjects like Classical mechanics, Dynamical systems, Robotics and Control Engineering. Able to apply these concepts to everyday situations in life. Mechanics (MATH 261/PHY 101) Year: Quarter: TextBooks, Programming Environment, etc. Text Book: Fundamentals of Physics (Extended Fifth Edition) Reference Book: 1. Mechanics by Kleppner and Kdenkow 2. Conceptual Physics by Paul G. Hewitt. Lectures, Tutorials & Attendance Policy Grading There will be 20 sessions of 75 Minutes each. Quizzes and Assignments Mid - Term Final Exam 25% 35% 40% 2003-2004 Winter Mechanics (MATH 261/PHY 101) Year: 2003-2004 Quarter: Module (I) Force and Linear Motion Topics Session Winter Readings SI system of Units. Changing units. Length. Time. Mass. Vectors and Scalars. Vector components. Unit vectors. Adding vectors. Vectors and laws of Physics. Multiplying vectors. 1 Chapter 1 Measurement Section 1.1 to 1.6 Chapter 3 Vectors Section 3.1 to 3.7 Motion. Position and displacement. Average velocity and average speed. Instantaneous velocity and speed. Acceleration. Constant acceleration. Free-Fall acceleration. The particles of Physics. 2 Chapter 2 Motion along a straight line Section 2.1 to 2.9 Moving in two or three dimensions. Position and displacement. Velocity and average velocity. Acceleration and average acceleration. Projectile motion. 3 Chapter 4 Motion in two or three dimensions Section 4.1 to 4.5 Projectile motion analysed. Uniform circular motion. 4 Section 4.6 and 4.7 Problems. What causes an Acceleration. Newton’s first law. Force. Mass. Newton’s second law. Some particular forces. 5 Chapter 5 Force and motion ( I ) Newton’s third law. Applying Newton’s laws. 6 Section 5.7 and 5.8 Problems Friction. Properties of friction. The Drag force and Terminal speed. Uniform circular motion. 7 Chapter 6 Force and Motion ( II ) Section 6.1 to 6.4 Forces of nature. 8 Section 6.5. Problems Section 5.1 to 5.6 ( II ) Energy (III) Angular Motion Mid - Term 9 Kinetic energy. Work. Work and kinetic energy. Work done by weight. Work done by a variable force. 10 Chapter 7 Kinetic Energy and Work Section 7.1 to 7.5 Work done by a spring force. Power. Kinetic energy at high speed. 11 Section 7.6 to 7.8 Potential energy. Path independence of conservative forces. Determining potential energy values. Conservation of mechanical energy. 12 Chapter 8 Potential Energy and Conservation of Energy Section 8.1 to 8.4 Potential energy curve. Work done by non-conservative forces. Conservation of energy. Mass and energy. 13 Section 8.5 to 8.8 Quantized energy. 14 Section 8.9. Problems. 15, 16 Chapter 11 Rotation Section 11.1 to 11.8 Translation and Rotation. The Rotational variables. Are angular Quantities vectors? Rotation with constant Angular Acceleration. Relating the linear and angular variables Kinetic Energy of Rotation. Calculating the rotational Inertia Torque. Newton’s second law for Rotation. Work and Rotational Kinetic Energy. 17 Rolling. The Yo-Yo Angular momentum. Newton’s second law for rotation in Angular form. The angular momentum of a system of particles. The angular momentum of a rigid body rotating about a fixed Axis. 18, 19 Conservation of angular momentum. Quantised angular momentum. 20 Section 11.9 and 11.10 Problems Chapter 12 Rolling, Torque and Angular Momentum. Section 12.1 to 12.7 Section 12.8 and 12.9 Problems