Date

Topic

What’s due?

Th 8-26

1 Math Intro

Vectors and vector operations

Course Syllabus

Class Handout Chapter 1

T 8-31

1 Math Intro

Coordinate transformations

Time derivatives

class problem 1-10

Th 9-2

1 Math Intro

Gradients

2 Newtonian Single

Inertial reference frames

Class handout Chapter 2

Class Handout 1:

Vector exercises: 1.4, 1.5, 1.6, 1.7, 1.8,

Coordinate transformations: 1.11

solution, 1.6, 1.7

T 9-7

2 Newtonian Single

Equations of motion

Constant forces

Velocity-dependent forces

Time-dependent forces

Th 9-9

2 Newtonian Single

Position-dependent forces

Kinetic energy

Conservation laws-energy

Class Handout:

Velocity vectors 1.14, 1.15

Book:

1.31 (gradients)

2.2 (equation of motion on sphere)

2.3 (projectile)

solutions

T 9-14

2 Newtonian Single

Conservations laws – linear and angular momentum

Th 9-16

3 Oscillations

Linear harmonic oscillator – solving the diff eq.

chapter handout

Class handout 2:

2.3b,c (projectile drag)

2.12 (rf potential)

2.13 (sliding off sphere)

Text book:

2.53 (ID conservative forces)

solutions, plots 2-3

T 9-21

3 Oscillations

class problem 3-5

2d oscillator

class-problem 3-7

2d oscillator, phase diagrams,

Th 9-23

3 Oscillations

damped harmonic oscillator

class problem 3-9

classproblem3-10

classproblem3-11

Driven harmonic oscillator,

Problem set 1 is handed out

Please sign up for consultations; the sign-up sheet is posted on my office door.

Text book:

2.23 (time-dependent force)

2.41 (relativity of kinetic energy)

3.4 (time averages T, U)

Class handout 3:

3.6 (rod pendulum)

3.8 (vertical throw in phase space)

solutions

plots for 2-23

T 9-28

Class was canceled

Th 9-30

3 Oscillations

Driven oscillator

Examples

Seiche example

Text book:

3.1 (mass-spring)

3.2 (with resistance)

3.3 (max x, max U)

3.11 (energy of a damped oscillator)

solutions

Free-style Consultations 

T 10-5

5 Gravitation

Problems set 1 is due

Chapter 5 handout

Consultations  Monday this week

problem set solutions 1

MMA problem 1

MMA problem 3

Th 10-7

6 Variation

Chapter 6 handout

Class handout 3:

3.14 (baseball pendulum with drag)

3.21 (driven horizontal ball, 2 springs)

3.22 (damped dash-pot system)

3.24 (quality of damped system)

solutions (hidden until Fri 3 pm)

T 10-12

6 Variation

Th 10-14

7 Lagrange and Hamilton

Chapter handout 7

Problem Set 2 is handed out

Sign-up sheet

Class handout 5:

5.3 (spherical mass outside)

5.7 (infinite flat sheet)

Text book:

3.8 (a weird free oscillator)

5.13 (dust cloud)

6.5 (minimum surface)

6.7 (Snell’s law)

answers

Th 10-21

7 Lagrange and Hamilton

Consultations held on Wednesday, Thursday and Friday

Class handout:

7.5 constraints

7.9 Atwood’s machine

solutions

T 10-26

7 Lagrange and Hamilton

Problem set 2 is due

solution for problem set 2

Th 10-28

7 Lagrange and Hamilton

8 Central Force

chapter handout

Class hand-out:

7.14 rolling ball

Book problems:

7.12 rolling on a rising incline

7.7 double pendulum

7.25 gravity on helix

solution

T 11-2

8 Central Force

Th 11-4

8 Central Force

Class Handout 8:

8.1 Eq of Mot in Newton+Lagrange

Text book:

8.8 F=kr, hyperbolic

8.10 solar mass decreasing ½

8.11 F=-k/rⁿ, particles passing through center

8.17 eccentricity of orbit

answers

T 11-9

8 Central Force

Rutherford numerically

Th 11-11

9 System of Particles

class handout

Problem Set 3 is handed out

problem set

sign-up schedule

Text book

8-23 max rad vel of sat

8-41 Hohmann transfer

class handouts:

8.21 nuclear waste

answers

T 11-16

9 System of Particles

Consultations for PS3 Monday, Tuesday

sign-up schedule

Th 11-18

9 System of Particles

Class example 9-5

Problem Set 3 is due

problem set solutions

plots for problem 1a

numerical solution problem 2

Class handouts

8.17 small orbit oscillations

Text book

8-32 stability of circular orbit

homework answers

T 11-23

9 systems of particles

10 Noninertial Reference

collision demos

Text book

9.4 center of mass wire

9.10 exploding shell

921 flexible rope

answers

T 11-30

10 Noninertial Reference

chapter handout

Th 12-2

10 Noninertial Reference

Class Handout

9.8 restitution in inelastic collision

Book: 10-2 race car

solution

Jeff: 9-8

illustration of rolling wheel and acceleration

T 12-7

10 Noninertial Reference

Focault Pendulum

Th12-9

11 Rigid Bodies

Book:

10-7 gravitational field strength

10-9 projectile due east

10-11 missile N-S

 10-16 vertical probe, only include (a)