PHYS 300 - Analytical Mechanics I

Course Syllabus

**Instructor:** Assist. Prof. Bela Erdelyi

Faraday West 225

(815) 753-6484

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**Lectures: **2:00 - 3:15 p.m. Tuesdays and Thursdays

in Faraday West 200

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**Office hours: **12:30 - 2:00 p.m. Tuesdays and
Thursdays or by

appointment

**Textbook:** G.R. Fowles and G.L. Cassiday, Analytical
Mechanics, 7^{th} edition, Brooks/Cole (2005), ISBN 0-534-49492-7

**Grading:** final grade will consist of

- Homework:
*30 %*

- Midterm exam: 30 %

- Final exam: 40 %

Homework set after each chapter. Due date 1 week later. No late homework accepted. You are encouraged to consult among each other and TAs/outside sources on homework, but do not hand in anything that you simply copied or do not really understand. Be neat and show all steps.

Midterm after Chapter 4 (exact date TBD). Final will cover all material, with emphasis on second half.

No academic dishonesty tolerated!

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**1.****
***Introduction and vectors*

**2.**** ***Scalar,
vector, and triple products. Change of coordinate system*

**3.**** ***Derivative
of a vector, velocity, and acceleration. Various useful coordinate systems*

* *

**1.****
***Newton**'s
laws of motion. Rectilinear motion under a constant force*

**2.**** ***Kinetic
and potential energy*

**3.**** ***Velocity
dependent forces*

**1.****
***Harmonic motion*

**2.**** ***Damped
harmonic motion*

**3.**** ***Forced
harmonic motion*

**1.****
***General principles. Potential energy and the *

**2.**** ***Separable
forces*

**3.**** ***Harmonic
oscillator in 3D*

**4.**** ***Motion
of charged particles in electric and magnetic fields*

**5.**** ***Constrained
motion*

**1.****
***Accelerated coordinate systems and inertial forces*

**2.**** ***Rotating
coordinate systems, and dynamics of particles in such systems*

**3.**** ***The
Foucault pendulum*

**1.****
***Gravitational force between a uniform sphere and a particle*

**2.**** ***Kepler's
laws*

**3.**** ***Potential
energy in central fields*

**4.**** ***Nearly
circular orbits in central fields*

**1.****
***Center of mass and linear momentum of a system*

**2.**** ***Angular
momentum and kinetic energy of a system*

**3.**** ***Motion
of 2 interacting bodies*

**4.**** ***Collisions*

**5.**** ***Rocket
motion*

**1.****
***Center of mass of a rigid body*

**2.**** ***Rotation
about a fixed axis*

**3.**** ***The
physical pendulum*

**4.**** ***Angular
momentum of a rigid body in laminar motion. Impulse and collisions involving
rigid bodies*

**1.
***Postulates
and consequences*

**2.
***Relativistic
kinematics and dynamics*