Physics 5210

Lagrangian Mechanics

Winter 2015

Course Schedule

Date Lecture # Topic Reading Notes
Jan. 12 1 Angular Velocity Vector 9.1 -- 9.3 syllabus and HW1 distributed
Jan. 14 2 Newton's Law in a Rotating Frame 9.4 -- 9.5
Jan. 16 3 Centrifugal, Coriolis, and Transverse Forces 9.6 -- 9.7
Jan. 19 MLK Holiday
Jan. 21 4 Effect of Earth's Rotation 9.8 HW1 due, HW2 distributed
Jan. 23 5 Foucault Pendulum 9.9 -- 9.10
Jan. 26 6 Euler--Lagrange Equation 6.1 -- 6.2
Jan. 28 7 Applications of Euler--Lagrange 6.3 -- 6.4 HW2 due, HW3 distributed
Jan. 30 8 Lagrange's Equation for Unconstrained Motion 7.1 Grade Portfolio
Feb. 2 9 Lagrange's Equation for Constrained Motion 7.2 -- 7.3
Feb. 4 10 Examples Using Lagrange's Equations 7.4 -- 7.5 HW3 due, HW4 distributed
Feb. 6 11 Review Ch. 9, 6, and 7.1 -- 7.3
Feb. 9 Midterm #1 (Chs 9, 6, and 7.1 -- 7.3)
Feb. 11 12 Generalized Momenta and Ignorable Coordinates 7.5 -- 7.6
Feb. 13 13 Conservation Laws and Constraint Froces 7.7, 7.8, 7.10
Feb. 16 14 Properties of the Center of Mass 10.1 HW4 due, HW5 distributed
Feb. 18 15 Rotation about a Fixed Axis 10.2
Feb. 20 16 Rotation about any Axis 10.3
Feb. 23 17 Principal Axes of Inertia and Precession 10.4 -- 10.6 HW5 due, HW6 distributed
Feb. 25 18 Euler's Equations 10.7 -- 10.8
Feb. 27 19 Two Coupled Oscillators 11.1 -- 11.2
Mar. 2 20 Weakly Coupled Oscillators 11.3 -- 11.4 HW6 due, HW7 distributed
Mar. 4 21 Lagrangian Approach 11.5 Grade Portfolio
Mar. 6 22 General Case 11.6 -- 11.7
Mar. 9 23 Hamilton's Equations (1D) 13.1 -- 13.2 HW7 due, HW8 distributed
Mar. 11 24 Review Chs. 7, 10, 11
Mar. 13 Midterm 2 (Chs. 7, 10, 11)
Mar. 16-20 Spring Break
Mar. 23 25 Hamilton's Equations (1D) 13.1 -- 13.2
Mar. 25 26 Hamilton's Equations 13.3 --13.4
Mar. 27 27 Phase-Space Orbits 13.5 --13.6
Mar. 30 28 Impact Parameter and Cross Section 14.1 --14.2 HW8 due, HW9 distributed
Apr. 1 29 Scattering Angle and Differential Cross Section 14.3 -- 14.4
Apr. 3 30 Rutherford Scattering 14.5 --14.6
Apr. 6 31 Postulates of Special Relativity 15.1 -- 15.4 HW9 due, HW10 distributed
Apr. 8 32 Lorentz Transformation 15.5 --15.7
Apr. 10 33 Four-Vectors 15.8 -- 15.10
Apr. 13 34 Relativistic Mass and Energy 15.11 -- 15.14 HW10 due, HW11 distributed
Apr. 15 35 Relativistic Collisions 15.15 -- 15.17
Apr. 17 36 Wave Equation 16.1 -- 16.2, 16.4 Grade Portfolio
Apr. 20 37 Stress and Strain 16.5 -- 16.6 HW11 due, HW12 distributed
Apr. 22 38 Strain Tensor 16.7
Apr. 24 39 Hydrodynamics 16.12
Apr. 27 40 Final Review HW12 due
May 1 Final Exam 1:20 to 3:50 Covering all Chapters


Robert Harr

April 1, 2015