|
Week Due |
Lab. |
Lectures |
contact hours |
Topics List |
|
2 |
4 |
6 |
10 |
Mechanics in Noninertial Frames: Acceleration without Rotation, The Angular Velocity Vector, Time Derivatives in a Rotating Frame, Newton's Second Law in a Rotating Frame, The Centrifugal Force, The Coriolis Force, Free Fall and The Coriolis Force, The Foucault Pendulum. |
|
1 |
2 |
3 |
5 |
Calculus of Variations: Two Examples, The Euler-Lagrange Equation, Applications of the Euler-Lagrange Equation, More than Two Variables. |
|
2 |
4 |
6 |
10 |
Lagrange's Equations: Lagrange's Equations for Unconstrained Motion, Constrained Systems; an Example, Constrained Systems in General, Proof of Lagrange's Equations with Constraints, Examples of Lagrange's Equations, Conservation Laws, Lagrange Multipliers and Constraint Forces. |
|
2 |
4 |
6 |
10 |
Hamiltonian Mechanics: The Basic Variables, Hamilton's Equations for One-Dimensional systems, Hamilton's Equations in Several Dimensions, Ignorable Coordinates, Lagrange's Equations vs. Hamilton's Equations. |
|
3 |
6 |
9 |
15 |
Rotational Motion of Rigid Bodies: Properties of the Center of Mass, Rotation about a Fixed Axis, Rotation about Any Axis; the Inertia Tensor, Principal Axes of Inertia, Finding the Principal Axes; Eigenvalue Equations, Precession of a Top Due to a Weak Torque, Euler's Equations, Euler's Equations with Zero Torque, Euler Angles, Motion of a Spinning Top. |
|
2 |
4 |
6 |
10 |
Two-Body Central Force Problems: The Problem, CM and Relative Coordinates; Reduced Mass, The Equations of Motion, The Equivalent One-Dimensional Problem, The Equation of the Orbit, The Kepler Orbits, The Unbonded Kepler Orbits. |
|
2 |
4 |
6 |
10 |
Coupled Oscillators and Normal Modes: Lagrangian Approach; the Double Pendulum, Three Coupled Pendulums, Normal Coordinates for Two Carts on springs . |
Learning Resources
|
Text Book |
|||
|
Reference's name |
publisher |
Release |
Author |
|
Classical Mechanics |
University Science Books |
2005 |
John R. Taylor |
|
Additional References |
|||
|
Analytical Mechanics |
|
3rd Edition. |
Grant R. Fowles, Holt, Rinehart, and Winston |
|
Classical Dynamics |
Thomson Learning-Brooks/Cole |
5th Edition |
Thornton and Marion |
|
Mechanics |
Addison-Wesley |
3rd Edition |
K. Symon |