P441- Course Outline-Spring 2014- Page 1 Physics 441 - Spring 2014 Text: G. R. Fowles and G. L. Cassiday, “Analytical Mechanics” (7th edition) Homeworks: Due each week on Wednesday, unless noted otherwise Grades: Grades are based on the items listed below: Exam I Exam II Final Exam Homework 30% 30% 30% 10% Exams: Exam 1 – Friday February 21 during class hours. Covering material from Chapters 1-5. Exam 2 – Friday March 21 during class hours. Covering material from Chapters 6-8. Final Exam - during finals week. Covering material from Chapters 9-10 Instructor: Prof. Cecilia Gerber Office: SES 2270 Phone: 312 996 2239 e-mail: gerber@uic.edu Office Hours: Wednesday & Friday, 1:00PM-2:00PM or by appointment. Course Web Page: physicsweb.phy.uic.edu/441 P441- Course Outline-Spring 2014- Page 2 Physics 441 Course Outline (Spring 2014) Week Text Topic Homework ________________________________________________________________________________ 1 Jan 13-17 1-1 to 1-12 Fundamental Concepts: Vectors Vector Algebra 1.7, 1.15 Vector Calculus 1.17, 1.19 Position vector of a particle 2.1 Velocity and Acceleration Newtonian Mechanics 2-1 to 2-2 Review of Newton’s laws Due 1/22/14 ________________________________________________________________________________ 2 Jan 20-24 2-3 to 2-5 Newtonian Mechanics 2.4, 2.8, 2.10 Forces that depend on position 2.11, Kinetic and Potential Energy 2.19 (a&b only) Velocity-dependent forces Due 1/29/14 ________________________________________________________________________________ 3 Jan 27-31 3-1 to 3-4 Oscillations 3-6 Harmonic Motion 3.3, 3.5, 3.7 Energy Considerations 3.10, 3.16 Damped Harmonic Motion Forced Harmonic Motion Due 2/05/14 ________________________________________________________________________________ 4 Feb 03-07 4-1 to 46 3D Motion of Particles General Principles 4.4, 4.7, 4.16 Projectile Motion 4.20, 4.22 Harmonic Oscillator Constrained Motion Due:2/12/14 ________________________________________________________________________________ 5 Feb 10-14 5-1 to 5-4 Non Inertial Reference Systems 5-6 Accelerated Coordinate Systems 5.1, 5.5, 5.8 Rotating Coordinate Systems 5.16 Including derivation Dynamics of a Particle of Eq: 5.4.15 a-c The Foucault Pendulum Due 2/19/14 ________________________________________________________________________________ 6 Feb 17-21 6-1 to 6-5 Newton’s laws of universal gravitation Kepler’s laws of planetary motion Review for Exam Exam 1 Exam Friday 10AM-12PM Feb 21, 2006 Gravitation and Central Forces No HW due P441- Course Outline-Spring 2014- Page 3 Week Text Topic Homework _________________________________________________________________________________ 7 Feb 24-28 6-6 to 6-14 Gravitation and Central Forces 6.2 (part a only), Potential energy 6.3, 6.5, Energy equation 6.11, 6.25 Scattering of particles Due 3/05/14 ________________________________________________________________________________ 8 Mar 03-07 7-1 to 7-2 Dynamics of Systems of Particles 7.4, 7.5, 7.8 Center of Mass 7.14, 7.26 7-4 to 7-7 Linear and Angular Momentum Energy and Collisions Rocket Motion Due 3/12/14 ________________________________________________________________________________ 9 Mar 10-14 8-1 to 8-7 Planar Motion of Rigid Bodies Moments of Inertia 8.6, 8.9, 8.17 The Physical Pendulum 8.20, 8.24 Laminar Motion Impulse and Collisions Due 3/19/14 ________________________________________________________________________________ 10 Mar 17-21 Review for Exam Exam 2 Exam Friday 10AM-12PM March 21, 2014 No HW due ________________________________________________________________________________ 11 March 24-28 Spring break ________________________________________________________________________________ 12 Mar 31-Apr 4 9-1 to 9-5 Motion of Rigid Bodies in 3 Dimensions Moment of Inertia Tensor 9.1, 9.3 Principal Axes 9.5, 9.7 Euler’s Equations Due 4/09/14 ________________________________________________________________________________ 13 Apr 07-11 9-6 to 9-9 Motion of Rigid Bodies in 3 Dimensions The Euler Angles 9.15, 9.18 Motion of a Top 9.19, 9.20 Rolling Motion Due 4/16/14 P441- Course Outline-Spring 2014- Page 4 Week Text Topic Homework ________________________________________________________________________________ 14 Apr 14-18 10-1 to 10-6 Lagrangian Mechanics Hamilton’s Variational Principle 10.1, 10.3 Generalized Coordinates 10.7, 10.13 Lagrange’s Equations of Motion Due 4/23/14 ________________________________________________________________________________ 15 Apr 21-25 10-7 to 10-9 Lagrangian Mechanics 10.18, 10.25 Lagrange Multipliers 10.26, 10.28 D’Alembert Principle Hamilton’s Equations Due 04/30/14 ________________________________________________________________________________ 16 Complete unfinished material Apr 28-May 2 Review for Final Exam ________________________________________________________________________________