

Home
Contact Info
Course Info
Calendar
Homework
Lecture Notes




Physics 235: Classical Mechanics
Prof. S. Teitel stte@pas.rochester.edu  Fall 2001
Lecture Notes
My hand written class lecture notes are being scanned and uploaded for you to view. Please be warned that these are the notes I prepare for myself to lecture from  they are not in general carefully prepared for others to read. I make no guarentees about their legibility, or that they are totally free of errors. I hope, nevertheless that you will find them useful. The lectures are uploaded as pdf files, so you will need Adobe Acrobat Reader in order to read them. You can download Acrobat Reader for free here.
These lecture notes are also available online from the University Library's Voyager system. Just go to Voyager, click on "Local Catalogue", choose "Course Reserve", select "Teitel, S" from the instructor menu, and hit the Search button. On the resulting page, click on "Course notes [electronic]".
The lecture note files correspond roughly to the material presented in a given day's lecture. But you may on occassion find the end of one day's lecture at the start of the file for the next day's lecture, so please look there if you think there might be something missing.
 Lecture 1  Review of vectors
 Lecture 2  Rotation matrices
 Lecture 3  Velocity and acceleration in polar and spherical coordinates; gradients
Note: there is an error at the bottom of page 7, top of page 8, of these notes in the equation for d(e_theta)/dt in spherical coordinates. The correct equation should be:
d(e_theta)/dt = d(theta)/dt e_r + d(phi)/dt cos(theta) e_phi
 Lecture 4  Review of Newton's laws and conservation theorems
 Lecture 5  Applications of Newton's laws
 Lecture 6  Harmonic oscillator: oscillators in two dimensions, and damped oscillators
 Lecture 7  Driven harmonic oscillator: resonance
 Lecture 8  Driven harmonic oscillator: work and energy
 Lecture 9  Driven harmonic oscillator: Fourier series and Greens function solutions
 Lecture 10  Calculus of Variations: Euler's equation
 Lecture 11  Calculus of Variations: examples and second form of Euler's equation
 Lecture 12  Calculus of Variations with constraints, Lagrange's equations, and Hamilton's principle
 Lecture 13  Lagrange's equations: examples
 Lecture 14  Lagrange's equations with constraints: examples
 Lecture 15  Examples continued, velocity dependent potentials
 Lecture 16  Conservation laws, Hamilton's equations
 Lecture 17  Hamilton's equations: examples
 Lecture 18  Two body motion with a cental force
 Lecture 19  Two body motion continued: 1/r^{2} force
 Lecture 20  Conic sections, Kepler's 3rd law
 Lecture 21  Stability of orbits: 1/r^{n} force, and screened Coulomb potential
 Lecture 22  Rutherford scattering
Note: There is an error in the first equation of page one. In the denominator the parenthesis is closed in the wrong place. It should be
2µ(EUel^{2}/(2µr^{2}))
 Lecture 23  Dynamics of many particle systems: momentum, angular momentum, and energy
 Lecture 24  Noninertial frames of reference
 Lecture 25  Coriolis force, motion at the surface of the earth
 Lecture 26  Dynamics of rigid bodies: the inertia tensor
 Lecture 27  Angular momentum of rigid bodies, principle axes of rotation
 Lecture 28  Inertia tensor under transformation of coordinates, Euler's equations, stability of freely rotating bodies
