PHYSICS 3220. Classical Mechanics I. Fall 2007
Welcome to the home page for
P3220 Fall 2007.
Outline.
Slot 02, Section 001
Monday/Wednesday/Friday: 9:00-9:50
Lecture Room: C-4002
Instructor
Dr. Yakov
Afanassiev
Office: Room C-4065,
Tel: 737-2500
Textbook
Classical
Mechanics by John R. Taylor
Evaluation Scheme
-four assignments, of 4 to 6
problems each, altogether worth 30% of the total mark;
-one mid-term 50-min test, worth 25%
of the total mark, scheduled for the last week of October;
-the 2-hour final examination, worth
45% of the total mark.
Students are permitted to bring one
page (both sides) of aids to memory (formulae, etc) into the final
examination
(but not into the mid-term test).
Outline
1)
Review of Vector geometry and Newton’s Law of
Motion
-
Units
-
Scalars and Vectors
-
Vector Operations
-
Coordinate Transformations
-
Derivative of Vectors
-
Fundamental Concepts of Physics
-
Newton’s Laws of Motion
-
Momentum
-
Differential Equations
-
Alternative Coordinate Systems
2)
Projectile Motion and Resistance
-
Air Resistance
-
Linear Air Resistance – Horizontal and Vertical
Motion
-
Quadratic Air Resistance
– Horizontal and Vertical Motion
-
Terminal Velocity
3)
Momentum and Angular Momentum
-
Conservation of Momentum
-
Rockets
-
Center of Mass Systems
-
Angular Momentum
-
Moment of Inertia
4)
Energy
-
Kinetic Energy and Work
-
Potential Energy and Conservative Forces
-
Forces as the Gradient of Potential Energy
-
Time Dependent Potential Energy
-
Energy for One-Dimensional Systems
-
Curvilinear One-Dimensional Systems
-
Central Forces
-
Energy of Interacting Particles
-
Energy of a Multiparticle System.
5)
Oscillations
-
Hooke’s Law
-
Simple Harmonic Motion
-
Two-Dimensional Oscillators
-
Damped Oscillations
-
Driven Damped Oscillations
-
Resonance
-
Fourier Series
-
Fourier Series Solutions for the Damped Oscillator.
6)
Calculus of Variations
-
Euler-Lagrange Equation
-
Applications of the Euler-Lagrange Equations
-
More than two variable systems
7)
Lagrange’s Equation
-
Lagrange’s Equation for Unconstrained Motion
-
Constrained Systems
-
Examples of Lagrange’s Equations
-
Generalized Momenta and Ignorable Coordinates
-
Conservative Laws
8)
Two Body Central Force Problems
-
Center of Mass and Relative Coordinates; Reduce
Mass
-
The Equations of
Motion
-
The Equivalent One-Dimensional Problem
-
The Equation of the Orbit
-
The Kepler Orbit
-
The Unbounded Kepler Orbit.
*** Please Note the Following ***
14.4 Information Required
for
Medical Certificates
14.4.1 Students who request permission
to drop courses, to withdraw from University studies, to have
examinations
deferred or to obtain other waivers of University, departmental or
course
regulations based on medical grounds are required by the University to
produce
a note from a physician in support of their request. Such notes must be
sufficiently specific to allow a proper consideration of the student's
case.
The University requests that all medical notes be on letterhead, be
signed by
the physician and include details on the following:
- confirmation
of the specific dates on which the student visited the physician.
- the degree
to which the illness (or treatment, in the case of medication, for
example) is likely to have affected the student's ability to study,
attend classes, or sit examinations.
- the length
of time over which the student's abilities were likely hampered by the
medical condition (e.g., recurring and severe back pain over a
two-month period would likely have a more adverse effect on studies
than a single episode of back pain requiring bed rest for a week).
- the
fitness of the student to resume studies (it is in the student's best
interest not to return to studies prematurely).