PHYS 326 :: Physics Illinois :: University of Illinois at Urbana-Champaign

Schedule

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Week Date Lecture Readings Homework Problem Session
1
Monday
8/22/2016
       
Tuesday
8/23/2016
L#1  Review Simple Harmonic Oscillator

T&M Chapter 3; Taylor Chapter 5

HW instructions  
Thursday
8/25/2016
L#2 linear 2-degree of freedom vibrations; modes, eigenvalue problem

Taylor Chapter 11

T&M Chapter 12

 

Problem Session 1

solution

Friday
8/26/2016
       
2
Monday
8/29/2016
Office hours Loomis 322: 2-7 pm.      

 Tuesday
8/30/2016

L#3  linear 2-degree of freedom vibrations; semi-definite systems

 

HW 1 is due

sol A B

 
Wednesday
8/31/2016
       
Thursday
9/1/2016
L#4 (weakly) coupled pendula, beats, loaded string 3dof

T&M §12.3   Taylor §11.3

Taylor 441-444

T&M 475-481

 

Problem Session 2

solution

Friday
9/2/2016
       
3
Monday
9/5/2016
Labor Day Holiday: Office hours in Loomis, outside 151.
Tuesday
9/6/2016

L#5 The Quadratic Lagrangian, MDoF vibrations 

The linear algebra of the eigenmodes; orthonormality. The modal matrix U

T&M 481-483

HW 2 is due

sol A B

 
Wednesday
9/7/2016
       
Thursday
9/8/2016
L#6  The modal matrix U, degeneracy, coordinate changes

T&M  section 12.6

Taylor section 11.7

 

Problem session 3
solution

Friday
9/9/2016
       
4
Monday
9/12/2016
Office hours Loomis 322: 2-7 pm.      
Tuesday
9/13/2016
L#7 Coordinate changes,  normal coordinates, Symmetries  

HW 3   is due

sol A B

 
Wednesday
9/14/2016
       
Thursday
9/15/2016

L#8 Symmetries cont.  Infinite chain.

   

Problem session 4

solution

Friday
9/16/2016
       
5
Monday
9/19/2016
Office hours Loomis 322: 2-7 pm.      
Tuesday
9/20/2016

L#9  Forced motions. 

Taylor 12.9

T&M 4.7

HW 4 is due

sol A B

 
Wednesday
9/21/2016
       
Thursday
9/22/2016

Begin Nonlinear dynamics and chaos.  The logistic map.

L#10  fixed points of the logistic map, chaos, fractals, phase plane

Slides

T&M 4.3, 4.4

Taylor 487-494

 

Session 5:

solution

Friday
9/23/2016
       
6
Monday
9/26/2016
Office hours Loomis 322: 2-7 pm.      
Tuesday
9/27/2016

L#11 , Phase plane Numerical solutions of ODEs, driven damped pendulum

Slides

T&M 4.6

Taylor 12.2 – 12.8

HW 5A due

solution A  

 
Wednesday
9/28/2016
       
Thursday
9/29/2016

In-class midterm I Vibrations & modes Last year's exam Solution

Exam 1 solution

lectures1-9, HW 1-5A, Disc 1-5  

Problem session 6

solution

Friday
9/30/2016
       
7
Monday
10/3/2016
       
Tuesday
10/4/2016

L#12 Begin rigid body dynamics

 

T&M sections 1.4-1.7

Taylor 10.2-10.5

T&M 11.3-11.5

Taylor 10.8

T&M 11.9, 11.10

HW 5B due

example mathematica

Solution B

 
Wednesday
10/5/2016
       
Thursday
10/6/2016

L#13 Inertia tensor for a rigid body,  parallel axis theorem;

Taylor 10.9, 10.10

T&M  11.8, 11.10

 

Problem session 7

solution

Friday
10/7/2016
       
8
Monday
10/10/2016
       
Tuesday
10/11/2016
L#14 Euler's equations  

HW6 due

Sol A B

 
Wednesday
10/12/2016
       
Thursday
10/13/2016
L#15 Euler's equations cont. Rotation matrices;     

Problem session 8

solution

Friday
10/14/2016
       
9
Monday
10/17/2016
       
Tuesday
10/18/2016

L#16 Rotation matrices; Euler angles

Taylor 10.10,   T&M 11.11

HW7 due

Solution A B

 
Wednesday
10/19/2016
       
Thursday
10/20/2016

L#17 Dynamics of the top, precession, nutation.  

   

Problem Session 9

solution

Friday
10/21/2016
       
10
Monday
10/24/2016
       
Tuesday
10/25/2016
L#18.  Hamiltonian systems, Poisson brackets Taylor Chpt 13, T&M 7.10-7.12

HW 8 A due

Solution

 
Wednesday
10/26/2016
       
Thursday
10/27/2016
 L#19.  Liouville's theorem. Begin Continuum Mechs: Waves in strings

T&M 13.1 -13.8

Taylor 16.1 16.2

HW 8 B due

Solution

Problem Session 10

solution

Friday
10/28/2016
       
11
Monday
10/31/2016
       
Tuesday
11/1/2016

L#20  Other 1-d systems; dispersion, boundaries & eigenfunctions, 

 

 

 
Wednesday
11/2/2016
       
Thursday
11/3/2016
L#21 Other 1-d systems  

HW 9 due

Solution A B

Problem Session 11

solution

Friday
11/4/2016
       
12
Monday
11/7/2016
       
Tuesday
11/8/2016

In-class midterm II Last year's exam Solutions

Exam 2 & solutions

Lectures 9 – Lecture 18 

  No HW due  
Wednesday
11/9/2016
       
Thursday
11/10/2016

 L#22 Energy, Greens function; Two-dimensions:  membranes; 

   

Problem session 12 

solution

Friday
11/11/2016
       
13
Monday
11/14/2016
       
Tuesday
11/15/2016
L#23 Two-dimensions:  membranes; 3D waves. Taylor 16.4-16.7

HW10 due

Sol A B

 
Wednesday
11/16/2016
       
Thursday
11/17/2016
L#24  Stress, strain, moduli, stress and strain tensors, Hooke's law  Taylor 16.10, 16.11  

Problem session 13

solution

Friday
11/18/2016
       
14
Monday
11/21/2016
Fall Break
15
Monday
11/28/2016
       
Tuesday
11/29/2016

L#25 Hooke's law  and Elastic waves.

 

HW 11 A due

solutions

 
Wednesday
11/30/2016
       
Thursday
12/1/2016

L#26  Begin Fluids

D/Dt,   acoustics, Bernouilli Eqn

Taylor section 16.12

HW 11 B due

solutions

Problem session 14
Friday
12/2/2016
       
16
Monday
12/5/2016
       
Tuesday
12/6/2016

L#27 Viscous laminar flows

 

HW 12 due

Solutions

 
Wednesday
12/7/2016
       
Thursday
12/8/2016
Reading Day 
Thursday
12/15/2016
Final Exam: 7-10 pm, Loomis 143, 144, 147

2015 Final Exam

Solution