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Phys3101 Classical Mechanics

Fall 2016

Date

Topic

What’s due?

Rules for Homework

Th 8-25

Syllabus

1 Math Intro

Vector algebra

Coordinate transformations

class example 1-10

 

T 8-30

Coordinate transformations

Differentiation of vectors wrt scalars

Time derivatives

 

Th 9-1

No class is held today

T 9-6

Time derivatives

Angular velocity

 

Th 9-8

Angular velocity

gradients

2 Newtonian Single-particle dynamics

From Class Handout 1:

1.2, 1.4, 1.5, 1.6, 1.7, 1.8 (Vector exercises),

1.11 (Coordinate transformations)

1.14, 1.15 (velocity vectors)

 answers

T 9-13

Velocity-dependent forces

Time-dependent force

Position-dependent forces

 

Th 9-15

Conservation theorems

Energy conservation

From text book:

1.31 (gradients)

2.2 (equation of motion on sphere),

2.3 (projectile)

answers

T 9-20

Angular momentum conservation

One wrap-up problem

 

3 Oscillations

 

 

Th 9-22

Oscillations

Solving the SHM differential equation

Energy of SHM

 

 

Class handout 2:

2.3b,c (projectile drag);

2.12 (rf potential);

2.13 (sliding off sphere)

 

Text book:

2.53 (ID conservative forces)

2.23 (time-dependent force)

 

answers, 2.3-plots, 2.23-plots

 

T 9-27

Phase space

Oscillations with drag

 

 

Problem Set 1 is handed out

 

Th 9-29

Damped Oscillations

In-class exercise

 

Text book:

2.41 (relativity of kinetic energy)

3.1 (mass-spring)

3.4 (time averages T, U)

 

Class handout 3:

3.6 (rod pendulum)

3.8 (vertical throw in phase space)

 

answers

 

T 10-4

Driven oscillators

Example problems oscillation

 

 

Consultations for PS1 held on Friday, Monday and Tuesday

Th 10-6

In-class quiz PS1

 

5- Gravitation

 

 

Problem Set 1 is due at class time answers

 

Book:

3.2 (with resistance)

3.3 (max x, max U)

answers

 

T 10-11

5-Gravitation

 

6-Variational Calculus

 

Th 10-13

6-Variational Calculus

 

 

Book:

3.11 (energy of a damped oscillator)

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

answers

 

T 10-18

Fall break

Th 10-20

7-Lagrangian and Hamiltonian Mechanics

 

 

Problem Set 2 is handed out

Class handout: 5.3 (spherical mass outside), 5.7 (infinite flat sheet), 5.8 (thin rod)

Text book: 5.13 (dust cloud), 6.5 (minimum surface), 6.7 (Snell’s law)

 

T 10-25

7-Lagrangian and Hamiltonian Mechanics

 

 

Consultations for Problem Set 2

 

Th 10-27

7-Lagrangian and Hamiltonian Mechanics

 

 

Problem Set 2 is due

 

Class handout: 7.5 constraints, 7.9 Atwood’s machine

answers

T 11-1

7-Lagrangian and Hamiltonian Mechanics

Canonical equations

 

 

Th 11-3

8 Central force motion

 

General solution of equation of motion

Class hand-out:

7.14 rolling ball

Book problems:

7.12 rolling on a rising incline

7.7 double pendulum

answers

 

T 11-8

8 Central force motion

worked-out trajectory problem for Kepler orbits

 

 

Th 11-10

8 Central force motion

Kepler orbits

Class Handout 8:

8.1 Eq of Mot in Newton+Lagrange

Text book:

7.25 gravity on helix

8.8 F=kr, hyperbolic

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

8.17 eccentricity of orbit

answers

 

T 11-15

8 Central force motion

Stability of circular orbits, Hohmann transfer

 

Problem Set 3 is handed out

 

Th 11-17

9 System of particles

Center of mass

Text book

8-23 max rad vel of sat

8-41 Hohmann transfer

class handouts:

8.20 nuclear waste (or 8.14 handout if you started that)

answers

 

Consultation Sign-up

 

T 11-22

9 System of particles

 

 

Problem Set 3 is due on Wednesday afternoon (3pm)

 

answers

answer for 1a, numerical answer 2

Th 22-24

Thanksgiving

T 11-29

In-class Quiz for PS3

 

9 System of particles

Collisions in Lab and CM system

 

 

Th 12-1

9 System of particles

Collisions in Lab and CM system

 

10- Non-inertial reference frames

 

Class handouts

8.14 small orbit oscillations (or 8.20 handout if you did 8>14 last time)

Text Book

9.4 center of mass wire

9.10 exploding shell

9.21 flexible rope

answers

 

T 12-6

10- Non-inertial reference frames

 

Th12-8

11 Rigid Bodies

Book:

10-2 race car

10-7 gravitational field strength

10-9 projectile due east

10-11 missile N-S

 

Final

 

 

 

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Last modified 12/1/2016 9:36 AM