Week  Chapter  Mon  Wed  Fri  Homework 
1  Aug 28  Sep 1 
1Elementary Principles  Introduction 1.1 Mechanics of a particle 
1.21.3 Systems of particles 
1.4 Constraints Example: double pendulum 
Hwk#1, Ch1: 1, 4, 5, 13, 14 (due Thu Sep 7, 5pm) Solutions 
2  Sep 4  Sep 8 
1Elementary Principles 
Labor Day  1.41.5 D'Alembert's principle, Lagrange's equations Example: pendulum with a moving support. 
1.51.6 VelocityDependent Potential, Dissipation function. 2.67 Energy function 
Hwk#2, Ch 1: 9, 15(a,b), 19, 21, 23, 24(a,b) (due Thu Sep 18, 11:30am) Solutions Useful formulae for spherical coordiantes. 
3  Sep 11  Sep 15 
2Variational Principles  2.13 Hamilton's principle, Brachistochrone problem 
2.256 Conservation Theorems Noether's theorem Emmy Noether's biography 
2.34 Lagrange's equations with constraints 
Hwk #3, Ch2: 4, 14, 18, 19, 20, 21(a,b) (due Wed Sep 27, 11:30am) Solutions 
4  Sep 18  Sep 22 
2Lagrange's equations 3 Central Force Problem 
2.45 Lagrange's equations with constraints Example: Two wheels on an axle 
3.12 EOM and first integrals 
3.34 Classification of orbits. 
Hwk #4, Ch 3(central forces): 10, 13,
19, 28(a) (due Mon Oct 2, 11:30am) Solutions 
5  Sep 25  Sep 29 
3 Central Force Problem  3.34 Classification of orbits: Kepler potential 
3.5,
3.7 Orbit equations, Kepler problem Conic sections: ellipses, hyperbolas 
3.89 Eccentric anomaly, LRL vector 
Hwk #5, Ch 3 (Kepler
problem): 11, 21, 23, 24, 33 (due Mon Oct 9, 11:30am) Solutions 
6  Oct 2  Oct 6 
3 Central Force Problem  3.8 Kepler's laws, motion in time, Kepler's equation. 
3.6 Bertrand's theorem, virial theorem. 
Friday: Fall Holiday 
Hwk #6: Ch 3(Scattering):
7, 30, 32, 34, 35 (due Mon Oct 16, 11:30am) Only one problem of (34) and (35) is required, if you solve both, it's for extra credit!. Solutions 
7  Oct 9  Oct 13 
3 Central Force Problem,  3.1011
(Prof. Luis Lehner) Scattering in a central force field 
Special
lecture: (Prof. Juhan Frank) Three body problem 
3.1011 (Prof. Jorge Pullin) Scattering in a central force field 

8  Oct 16  Oct 20 
4 Rigid Body Kinematics  5.12 (Prof. Jorge Pullin) Inertia tensor 
Midterm Review 
4.14 Rigid Body Degrees of Freedom, Orthogonal transformations Euler Angles 
Midterm:
Friday Oct 20, 5:306:30pm, 118 Nicholson Chapters 1, 2, 3 Midterm Solutions 
9  Oct 23  Oct 27 
4, 5 Rigid Body Motion  4.6,89 Euler's theorem Finite and infinitesimal rotations 
4.910 Coriolis Force 
5.13 Angular momentum, kinetic energy of a rigid body. Inertia tensor, principal axes 
Hwk #7,
Ch 4: 4, 15, 21, 23, 24 (due Wed Nov 1, 11:30am) Solutions 
10  Oct 30  Nov 3 
5 Rigid Body Motion  5.35 Inertia tensor, principal axes Euler equations 
5.67 Torque free motion Heavy Symmetrical top Earth's wobble: look at the real data 
5.7 Heavy Symmetrical top The stability of the bicycle (D. Jones, Physics Today, Sep'06) 
Hwk #8, Ch 5: 6, 15, 17, 18, 20, 25, 30 (due Fri Nov 10, 11:30am) Solutions 
11  Nov 6  Nov 10 
6 Oscillations  5.89 Precession of equinoxes, satellite orbits. 
Damped
Harmonic Oscillator 
Driven
Harmonic Oscillator 
Hwk #9, Ch 6: 4, 8, 11, 12, 15, 18 (due Wed Nov 22, 11:30am) Solutions 
12  Nov 13  Nov 17 
6 Oscillations 
Frequencies of free vibration; Normal coordinates 
Linear triatomic molecule.  Triangle triatomic molecule. 
Oleg Korebkin's Mathematica animation of Problem 68 (triatomic molecule). 
13  Nov 20  Nov 24 
8 Hamilton equations  Canonical equations of motion; Legendre Transformations  Examples  Thanksgiving Holiday 
Hwk #10 (last one!), due Dec 4, 11:30am Ch 8: 2, 7, 13, 16, 20, 22, 23, 26, 35 
14  Nov 27  Dec 1 
8 Hamilton equations 9Canonical transformations 
A variational principle  Example: 822 
Canonical transformations  
15  Dec 4  Dec 8 
9Canonical transformations 13 Continuous systems 
Poisson brackets 
Continuous systems A graduate student's work on continuous systems... 
Review 

16  Dec 11  Dec 15 
Finals week 

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