Main Content Area
Please note that the calendar
plan of the class updates as we move on. The class notes will
be uploaded just before or after each class.
(Also not that, the notes are still in the preliminary version. This will soon be completed with interactive simulations)
(Also not that, the notes are still in the preliminary version. This will soon be completed with interactive simulations)
| Date |
Detailed
Objectives |
Assignments/ Notes |
|
| 1 |
19th Aug (M) |
Introduction, Syllabus,
Grading Policy etc. |
Notes |
| 2 |
21st Aug (W) |
What is Classical
Mechanics? Quick Review of Kinematic Equations Physical Laws Concept of Force Newton's Laws of Motion Frames of Reference The Dynamics of a particle using Newtonian Mechanics: Examples |
HW1.pdf HW1_Sol.pdf Notes |
| 3 |
22nd Aug (R) |
The Dynamics of a
particle using Newtonian Mechanics: Examples (Constant Frictional Forces) An Interactive Simulation embedded |
Notes |
| 4 |
23rd Aug (F) |
The Dynamics of a
particle using Newtonian Mechanics: Examples (Velocity dependant Frictional Forces) (Limitations of Analytic Solutions: Approximate Methods ) An Interactive Simulation embedded |
Notes Mathematica |
| 5 |
26th Aug (M) |
Conservation Theorems
with Examples Starting the Chapter 3 on Oscilliations |
Notes |
| 6 |
28th Aug (W) |
Simple Harmonic
Oscillator (SHO) with an example SHO in 2 Dimensions - Lissajous Figures |
HW
1 Due HW2.pdf HW2_Sol.pdf Notes |
| 7 |
29th Aug (R) |
Effect of Resistive
forces on SHO - Damped Harmonic Oscillator An Interactive Simulation embedded |
Notes |
| 30th Aug (F) |
310 did not meet, Instructor at a
meeting. |
||
| 02nd Sept (M) |
Labor
Day Holiday |
||
| 8 |
04th Sept (W) |
Damped Harmonic
OscillatorThe Critically damped and Underdamped Conditions |
HW3.pdf HW_3_Sol.pdf Notes |
| 9 |
05th Sept (R) |
Forced Harmonic
OscillatorComplimentary and Particular Solutions |
Notes |
| 10 |
06th Sept (F) |
Forced Harmonic
Oscillator - Rsonance Phenonena: Example Electrical Analog to Mechanical Vibrations: LCR Circuits |
Notes |
| 11 |
09th Sept (M) |
Review Sinusodial
Driving forces on Damped Harmonic Oscialltor Non-Sinusodial (yet periodic) Driving Forces |
Notes |
| 12 |
11th Sept (W) |
Chapter 5: Gravitation
(Introduction) Example: Gravitational Potential due to Spherical Shell Mass |
Notes Quiz 1 (in class) HW 2 Due HW4.pdf HW_4_Sol.pdf |
| 13 |
12th Sept (R) |
Gravitational Potential
due to a Spherical Shell of Mass and More Examples |
Notes |
| 14 |
13th Sept (F) |
Calculating the
Gravitational Field Vector using Poisson's Equation |
Notes HW3 Due |
| 16th Sept (M) |
The class did not
meet |
||
| 15 |
18th Sept(W) |
Examples on Gravitation |
Notes |
| 16 |
19th Sept (R) |
More Examples on
Gravitation: Effect of Gravitational Potential on Earth: Ocean Tides |
Notes |
| 17 |
20th Sept (F) |
Calculus of Variation Euler's Equation |
Notes HW 4 Due HW5.pdf HW_5_Sol.pdf |
| 18 |
23rd Sept(M) |
Calculus of Variation
Exampes: Brachistrochrone Problem Euler's Equation |
Notes |
| 19 |
25th Sept (W) |
Calculus of Variation
Examples Euler's Equation of the Second Form Just a brief Introduction to Equations of Constraints |
Notes |
| 20 |
26th Sept(R) |
Calculus of Variation Method of Lagrange's Undetermined Multiplier. |
Notes |
| 21 |
27th Sept (F) |
Identifying Auxiliary
Conditions and use them in Minimizing the integral
quantities Examples |
Notes HW5 Due |
| 22 |
30th Sept (M) |
Lagrangean Dynamics |
Notes HW6.pdf HW_6_Sol.pdf |
| 23 |
02nd Oct (W) |
Lagrangean Dynamics |
Notes |
| 24 |
04th Oct (F) |
Lagrangean Dynamics |
|
| R1 |
07th Oct (M) |
Chapter 2,3, 5 Review for Exam I |
HW6 Due |
| R1 |
09th Oct (W) |
Chapter 2,3,5 Review for Exam I | |
| EXAM |
10th Oct (R) |
MIDTERM EXAM I
8.00 am to 9.30 am |
|
| 11th Oct (F) |
Class will not
meet |
HW7.pdf HW7Sol.pdf |
|
| 14th Oct
(M) |
FALL
BREAK |
||
| 25 |
16th Oct (W) |
Lagrenagean Undetermined Multipliers |
Notes |
| 26 |
18th Oct (F) |
Examples - Lagrangean Undetremined
Multipliers Understanding the concept of genralized force: How Undetermined Multipliers relate to the forces of C0nstraints |
Notes |
| 27 |
21st Oct (M) |
Equivalance of Lagrange's Equations and
Newton's Equations |
Notes |
| 28 |
23rd Oct (W) |
Conservation Theoreom/ and Introdcution
to Hamiltonian |
Notes |
| 29 |
25th Oct (F) |
Canonical Equations of Motion :
Hamiltonian Dynamics |
Notes HW 7 Due |
| 30 |
28th Oct (M) |
Examples - Hamiltonian Dynamics |
Notes HW8.pdf HW8Sol.pdf |
| 31 |
30th Oct (W) |
Central Force Motion |
Notes |
| 32 |
01st Nov (F) |
Examples for how to use the equation for
the orbitals How to find the shape of the orbital in a central force field: Turning Points Is the orbit periodic? |
Notes |
| 33 |
04th Nov (M) |
Planetary Motion. |
Notes |
| 34 |
05th Nov (W) |
Planetary Motion: Details of the
Elliptical Orbit Kepler's Law of Planetary Motion |
Notes HW9.pdf HW9 Sol.pdf |
| 35 |
07th Nov (F) |
Orbital Dynamics |
|
| 11th Nov (M) |
Veterans Day Holiday | ||
| 36 |
13th Nov (W) |
Orbital Dynamics |
|
| 37 |
14th Nov |
Non-Inertial Reference Frames |
|
| 15th Nov (F) |
Review |
Review |
|
| 18th Nov (M) |
Class Did not Meet |
||
| 20th Nov (W) |
Class Did not meet |
||
| 38 |
22nd Nov (F) |
Non-Inertial Reference Frames:
Centrifugal Force and Corioli's Force |
HW10.pdf |
| 39 |
25th Nov (M) |
Non-Inertial Reference Frames: Effects of
the Earth Rotation |
|
| 27th Nov (W) |
THANKSGIVING
HOLIDAY |
||
| 28th Nov (R) |
THANKSGIVING
HOLIDAY |
||
| 29th Nov (F) |
THANKSGIVING
HOLIDAY |
||
| 40 |
03rd Dec (M) |
||
| 41 |
05th Dec (W) |
||
| 42 |
|||
| ** |
09th Dec (R) |
FINAL
EXAM (Comprehensive) 7.50 am to 9.50 am |
|