Physics 326: Intermediate Mechanics II   Course Schedule (as of 12/9/14)

(N.B – watch for changes and updates)

 

Date      

 

Lecture

Readings

Homework Due

(instructions)

Thursday Problem Session

Tuesday Aug 26, 2014

L#1  Review Simple Harmonic Oscillator

T&M Chapter 3; Taylor Chapter 5; Approximate Lecture Notes (ALN) pp 1-8;

Relevant lectures from 325

 

 

Thursday Aug 28

L#2 linear 2-degree of freedom vibrations;

modes, eigenvalue problem

Taylor Chapter 11

T&M Chapter 12

ALN pp 7-12

 

Problem Session 1

solutions

Th 8/28

Special O Hour

279 Loomis 3:00- 4:00

 

 

Friday Aug 30

Special Office Hours 

279 Loomis   2:30 – 4:30

 

 

MonSept2

 Labor Day

no office hours

 

 

Tuesday September  2

L#3  (weakly) coupled pendula, beats, loaded string 3dof

ALN   pp12-16

T&M §12.3   Taylor §11.3

HW 1 is due

solutionA   B

 

 

Thursday September 4

L#4 The Quadratic Lagrangian, MDoF vibrations

 

ALN 16-22  Taylor 441-444

T&M 475-481

 

Problem Session 2 Solution

Tuesday Sept 9

L#5 The linear algebra of the eigenmodes; orthonormality.

The modal matrix U

Thornton and Marion 481-483

 

ALN 23-28

 

HW 2 is due

Solution  A  B

 

 

Thursday Sept 11

L#6  Semi-definite systems,degeneracy, coordinate changes,  normal coordinates, Symmetries

ALN  28-36

T&M  section 12.6

Taylor section 11.7

 

Problem session 3 solution

Tuesday Sept 16

L#7 Symmetries continued; Time-reversal non-invariance [G] ≠ 0

optional reading on time-independent perturbation theory

 

ALN  36-43

HW 3   is due

solutionA,  B

 

Thursday Sept 18

L#8  Forced motions.

Green's Matrix

[G(t)], and [G(w)]

 

 

Problem session 4

solution

Tuesday Sept 23

L#9 Damped systems; undamped vibration absorber

Begin Nonlinear dynamics and chaos.  The logistic map.

 

 

Taylor 12.9

T&M 4.7

ALN 95-103

HW 4 is due

SolutionA;  B

 

Thursday Sept 25

L#10  phase plane, numerical solutions of ODEs

 

T&M 4.3, 4.4

references in lecture notes

ALN 104-114

Taylor 487-494

 

 

Session 5:

solution

Mon 9/29

regular office hours

 

 

 

 

Tuesday Sept 30

 L#11 Driven damped pendulum

 

T&M 4.6

Taylor 12.2 – 12.8

ALN 114-129

 

 

HW 5 due

solution A   B

 

WedOct2

Extra Office Hours

11:30-12:30;     2:30-4:30

 

 

 

Thursday Oct 2

 in-class midterm I Vibrations & modes

 

sample exam;   solution

lectures1-9, HW 1-4, Disc 1-4

 

Problem session 6

solution

Tuesday Oct 7

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

No HW due

 

 

Thursday

Oct 9

L#13. 

Inertia tensor for a rigid body

Taylor 10.9, 10.10

T&M  11.8, 11.10

 

Disc07

solution

Tuesday Oct  14

L#14  parallel axis theorem; Euler's equations

 

HW6 due

HW6Asolution

HW6Bsolution

 

 

Thursday

Oct 16

L#15 Rotation matrices; Euler angles

 

 

Disc08

solution

Tuesday Oct  21

L#16 Dynamics of the top, precession, nutation.  Begin Hamiltonian Eqns

Taylor 10.10,   T&M 11.11

 

Taylor Chpt 13, T&M 7.10-7.12

HW7 due

solution  A

B

 

Thursday Oct 23

L#17.Hamiltonian Mechanics cont'd

Louiville theorem

 

 

Disc09

solution

Tuesday

Oct 28

L#18.  Begin Continuum Mechs

Waves in strings

T&M 13.1 -13.8

Taylor 16.1 16.2

HW8 due

solutionA;  B

 

Thursday Oct 30

 L#19  Other 1-d systems; dispersion, boundaries & eigenfunctions,

 

 

 

Disc10

solution

Tuesday

Nov 4

L#20  Other 1-d systems: beams, hanging chain …modes, buckling,

election day

HW9 due

HW9Asolution

9Bsolution

sample exam

WedNov5

extra office hours

 

 

 

Th Nov 6

in-class

midterm II today

Lectures 9 1/2 – 17

MIDTERM II soln

sample exam

solution

 

Disc11

solution

Mon10Nov

 

no office hours

 

 

Tuesday

Nov 11

L#21 orthogonality, Energy, Greens function;

Two-dimensions:  membranes

 

no HW due

 

Thursday Nov  13

L#22  3-d waves; Stress, strain, moduli

Taylor 16.4-16.7

 

Discussion 12   soln

Tuesday

Nov 18

L#23 stress and strain tensors, Hooke's law

 

HW10 due

solutionA,  B

 

Thursday Nov 20

  L24 Elastic waves;   Bending Beams.

Taylor 16.10, 16.11

 

Disc 13

soln  pictureforsoln

Week of Nov 24

FALL BREAK

 

 

 

Tuesday Dec 2

L#25 Begin Fluids

D/Dt,   acoustics, shocks, Bernouilli Eqn

Taylor section 16.12

 

HW11 due

solutionA,   B

 

Thursday Dec 4

L#26 Viscous laminar flows, Couette, Poiseuille

 

 

Disc 14  soln

Tuesday Dec 9

L#27 Ideal flow; Waterwaves,

Sample Final Exam

 

HW 12 due

solutionA&B

 

Final exam  1:30-4:30 PM, Mon, December 15   ROOM 144 Loomis

Sample Exam Solution

There will be 3 or 4 questions (out of about 11) that pertain to the first 2/3ds of the course.    The exam is closed books and notes.  See the sample exam for a list of the equations that will be given to you.  You are permitted one two-sided 8 1/2 x 11" set of notes with which to supplement the eqns given to you.