PHYSICS 204

Lecture:

Spring 2017

John Jay College of Criminal Justice,The City University of New York

Prof. Daniel A. Martens Yaverbaum

LAST UPDATED may 20, 2017

5:40 am


Procedures & Policies


 

 



 DATE

 LECTURE

Pre- READING

 ASSIGNMENT Due in Lecture

 CLAIM


(or concept)

Monday,

JANUARY 30,

2017.

Thingy & Unthingy Things:

Particles

&

Information

* * *

Shaking & Meddling:

Oscillation

&

Interaction

,

Physics 203,

or some roughly equivalent

calculus-based study inClassical Mechanics,

recalling and reviewing particularly:

1) Galileo's Principle of Relativity,

2) Newton's 2nd Law of Motion,

3) The Theorem of Energy Conservation.

Feel comfortable with the meaning and application
of "Conservative Forces", specifically those of: 

 Universal Gravitation (Newton)

&  Elasticity (Hooke)

* * *

HRW: Chapter 15 

Welcome (Back):

UnThingy Things

* * *

1. Oscillation:

A Thing On A Spring

2. Interaction:

A Sphere That's Not Near

 F = - kx

Wednesday

FEBRUARY 1,

2017

 

Space
as an Independent Variable, Time
as a Dependent Variable:

Energy Conservers

as

Clocks

* * *

Bridge Topics

(the paths from 'Thingy' things to
'UnThingy', things, i.e.:

the ways to proceed in understanding and/or practical reality from the standard motion of discrete particles to the propagation of immaterial pulses)

-->

#1. SIMPLE HARMONIC OSCILLATION:

A Differential Equation.

HRW: Chapter 13

***

NOTE: These two chapters seem OUT of ORDER.

This is intentional.

We begin Physics 204 with
TWO distinct and seemingly unrelated topics--each of which, in its own way, helps transition us from a study of "thingy things" (particles) to a study of "unthingy things" (information).

The two topics are:

1) Simple Harmonic Oscillation
(Chapter 15)

and

2) Universal Gravitation
(Chapter 13).

For the moment, regard these as two separate and independent topics--two pieces we need to begin this course.

We will soon bring them together.

* * *

After Monday's Lecture, you have a greater sense for which sections of the above chapters are being emphasized and which are not:

GO BACK

and REALLY READ the sections it seems that we are emphasizing.

REALLY READ means (among other things): Pick at least two Sample (Solved) Problems and try to solve them without looking.

Practice: Simple Harmonic Oscillation

The following "Problems" (not "Questions") at the end of Chapter 15.

a) Problem 9. 

PLUS: "Assume the mass of this oscillator is 30 kg.  If an ideal spring is causing the simple harmonic oscillation, find the 'K' (force constant) for that spring."

b) Problem 29.

c) Problem 31.

* * *

Universal Gravitation

Problems at end of Chapter 13:

Problems 3, 19, 24, 31

Monday,

 

FEBRUARY 6,

 

2017

A Closer Look at This Differential Equation (the Dif. Eq. for S.H.O.):

 

-- Any variable which depends on time in a manner that can be described by the mathematically generalized form (Dif. Eq.) of Hooke's Law will necessarily oscillate in value with an

AMPLITUDE-INDEPENDENT PERIOD
.

Some Solutions:

Thing On a Spring

A Sphere Not Near

KETCHUP!

 

 

Wed.,

FEB. 8

Bridge Topic -->

#2. 'Action-At-A-Distance':

UNIVERSAL GRAVITATION.

Any and every infinitely small point of mass exerts an infinitely far-reaching influence throughout the universe -- pulling toward itself every other point mass, without need for nor interference from any other matter that might be found to intervene.

* * *

One Place the
Two Bridges Meet -->

Inside a Solid Sphere:

The Gravitational Tunnel: Diameter

Chapter 16

1. Oscillations & Waves

2. Mathematical methods

(That we need. To know. Without drama.)

 

WEDNESDAY,

FEB 15

(MONDAY
SCHEDULE)

 

 



PRACTICE EXAM


(with solutions!)

FOR MIDTERM 1:


AND:

a little HELP with S.H.O.!

 

Some
SOLUTIONS(!)

to the above (most recent)

Practice Exam, SU16.

More solutions forthcoming...

BLANK Practice MidTERM

SUBMIT,

in 2-Column, Claim/Justification Form,

A Full Derivation ("Proof") for AT LEAST ONE
of the two claims

found at the following link:

PUDDING

NOTE . . .

1) One derivation is sufficient for Monday, but you will be responsible for the other derivation by Wednesday. So manage the full undertaking any way that works for you.

2) You might not have attempted anything resembling a 'two-column' proof for a long, long time -- if ever. Understood. The term itself might strike you as unfamiliar or intidimating.
Know that this is understood, that you are not alone; you are not missing anything neither:

With moral support implied by the sheet entitled "Knowing What To Do When You Don't Know What To",
Trust your intuitions.
and boldly write things you have not written before.

Be willing to write down things
that might turn out to be wrong.
Then be willing to live with them -- without an eraser.
Try. Prove. Try to Prove. Err.
Disapprove. Err More. Write More.
Your ultimate goal: Turn a set of generally true and probably not surprising statements
into a particularly true
and possibly surprising statement ...

one step at a time.

Hint: The smaller each step, the better.

SOLUTIONS

to a Practice for MidTerm1,
From Summer 2016.


   

WEDNESDAY,

FEB 22

A 2-Dimennsional Arrangment of
1-Dimensional Oscillators

(Setting up the Wave Equation)

* * *
PHASE SHIFTS & THE PHASE CONSTANT

* * *

The Wave Equation:

Derivation

A SOLVED Practice MidTERM

(which is
extremely similar,
but not identical to,

your MIDTERM 1:

which is now
non-negotiably confirmed for


MONDAY,
FEBRUARY 27

SUBMIT,

in 2-Column, Claim/Justification Form,

A Full Derivation ("Proof") for the remaining claim

(whichever you did NOT do for Monday)

found at the following link:

(The OTHER/Remaining ...)


 

MONDAY,

FEBRUARY 27:

MIDTERM 1

!

MIDTERM #1:

OSCILLATIONS

&

INTERACTIONS

Chapter 21

 

1. Oscillations & Waves

 

(This is a SECOND CALLING FOR THIS ASSIGNMENT. IT WILL REMAIN AMONG THE MOST FREQUENTLY REFERRED TO SHEETS FOR THE REST OF THE SEMESTER. When you need to cut corners, this is NOT the place to cut;

Note how the tail end of the assignment refers to a 'DERIVATION' (PROOF) in the text regarding WAVE MOTION.

This is serious and real. You ARE responsible for this challenging proof. Look up other versions wherever you want, but you MUST have a clear notion of where you DO and where you DO NOT understand the proof. Then we can help.

 

2. PROOF

 

 

Wednesday

MARCH 1

A Yellow & Pink Companion

Chapter 21,

22,

23

 

 

Mon.,

MARCH 6

Deriving the Wave Equation:

Matching to Solution;

Finding a Constant
Speed of Propagation.

 

 

Wed.,

MARCH 8

Propagation
Speed
Relative to the Medium;

The Doppler Effect

Re-Read Chapter 22


KETCHUP!

 

 

Mon.,

March 13

Charge

Propagation...
From Your Point of View

In whatever language you wish,
by whatever method you wish,

but demonstrating as much specific and authentically personal comprehension as possible, . . .

Show What the Wave Equation is,
What it means and
Why it is true.

You may use English, quantities and symbols (i.e. math), pictures, footnotes and/or any other coherent mode of expression imaginable, but:

1) All thoughts must be complete thoughts,
2) All thoughts must be either presented as your original expressions or cited as somebody else's,
3) You must use AT LEAST TWO modes of expression, e.g.: words and pictures.

Pretend you are preparing a personal and enormous Whiteboard for a Million Dollar Board Meeting.

 

Wed.,

March 15

(ELECTROSTATIC)

FIELDS!

* * *

FIELDS:

Letter to Bentley


* PRACTICE MIDTERM 2:

for the exam

Wednesday, 3/29/17

Contemplate, Decipher, Scrutinize

LEARN

to DERIVE the WAVE EQUATION.

Start with

this PICTURE

then learn/understand/master
the sequence of

CLAIMS

(maintaining a Justification/Reason for just about every claim in your head, but not yet preparing to produce
written justifications alongside of your claims...)


 

Mon.,

March 20

VIRTUAL CLASS

1) Do NOT Show up to Lecture Hall

at the customary or at any other time today.

2) INSTEAD:

Work together whenever, wherever.

As an individual with your own name

on a clear, careful piece of work,

electronically submit via submit button

(submission #8.CV)

a full response

to the assignment found at the link below.

Submit by 11:59 pm tonight, Mon., March 20.

VIRTUAL CLASS

CURVE BALL

(Experimentally)

INDUCING* the Wave Equation

from DATA

(i.e.: Labs #3 & #4)

* This is NOT the 'Derivation'; it is NOT an 'analytical proof'.
This method starts with measurements,
finds patterns in the measurements,
'superposes' (adds) the patterns together,
and arrives at a persuasive relationship.

The derivation (previous row of this web page)
starts with Laws of physics
and deduces what logically must follow.

 

Wed.,

March 22

Closed Paths,

Field Lines

* * *

Potential,

Current & Resistance

* PRACTICE MIDTERM 2:

for the exam

Wednesday, 3/29/17

Prepare Part I of
the HW Portfolio
:

And thereby

Study for MidTerm #2

 

(OR . . .)

Study for MidTerm #2

And thereby

Prepare Part I of
the HW Portfolio
:

(Further Details Forthcoming.)


 

 

FLUX:


Open, Closed
Bounded, Unbounded


PRACTICE PROBLEM

for

MIDTERM 2

re:

DOPPLER EFFECT

 

(with solutions)

Mon.,

March 27

DOPPLER EFFECT


 

WED.,,

March 29

MID-TERM #2


Chapters 28, 32.

Solved Final EXAM:
From SUMMER, 2014


HW #9
(re
the E-FIELD
(from a POINT)

consists of the following
"Problems"
(not "Questions")
at end of Chap. 22

3, 9, 19, 23

and

The following "Problems" (not "Questions")
at end of

Chap. 23: #3

 

Mon.,

APRIL 3

ELECTROSTATICS

 

 

 

 

HW #10

E-Flux:
Gauss's Law

April 5 E-Force EXTRA CREDIT MidTerm 2 SOLUTIONS  

Wed.,

APRIL 19

E-Fields

&

Field Line Diagrams:

 

An overly thorough and underly graphic booklet

 

Chapter 26, 27

1) PREP PACKET

for
FINAL EXAM.
from SPRING 2015


* * *

2. SOME SOLUTIONS

to the above
PREP PACKET,
from Final Exam, 2015

HW #11.

Steady Circuits:
Ohm's Law


(formerly known as 'MeasuringAlongThePathFromPole2Pole')
 

THURS.,

APRIL 20

(Mondy Schedule)

   

PRACTICE PROBLEM

for

Final Exam

re:

NODES & HARMONICS

 

MON.,

April 24

GAUSS'S LAW

HW #13.

B-Field & B-Flux

 

Wed.,

April 26

FARADAY'S LAW

 

.HW #141516xc:

 

 

Mon.,

MAY 1

Maxwell's

Displacement Current

&

The 2nd Postulate

 

RADIATION & GPR 1905

 

Wed.,

MAY 3

* * * * * * * * *
* * *

Mon,

May 8

  * Final EXAM

(Summer 2015)

SOLUTIONS

(to Final EXAM,

Summer 2015)


 
EXAM PREP:

PRACTICE MATERIAL

&

ARCHIVED
EXAMS! --->

'Quintessence'
Archives:

i.e.: Second MidTerms
from past years
and related Study Materials.

2012 Quintessence (MIDTERM 2)

&

SOLUTIONS

   
 

 

2014 Quintessence (MIDTERM 2)

&

SOLUTIONS
   

Wed.,

May 10

       

Mon.,

May 15

'Quest'
Archives:

i.e.: Second MidTerms
from past years
and related Study Materials.

P204 Quest (Midterm 1) from
P204, Summer, 2011

   

Wed.,

May 17

 

pre-FINAL EXAM, SPRING 2017!!

   
May 22 - May 26 FINAL EXAMS      
 

FINAL EXAM
Archives:

i.e.: Final Exams
from past years
and related Study Materials.

Solved P204 Final Exam:
Spring, 2014
   
   

P204 FINAL EXAM:
SUMMER, 2014


   
 

 

p204 PRACTICE FINAL EXAM:
SPRING 2015


Some sOLUTIONS
relevant TO THE ABOVE.

   
         

Assorted
PRACTICE PROBLEMS

that you may or may not have seen...

  Circuits

Measuring Along the Path

From Pole to Pole

 
    Ampere's Law Magnetic Field and Flux  
* * *        

What follows is purely supplemental;

NOT RECOMMENDED

for exam preparation purposes.

       
         

Supplemental Materiall

Electric Potential

&

Capacitance

* * *
The RC Circuit

Chapter 34

 

 

Magnetostatics:

Bio-Savart Law,

Gauss's ('Nobeflux') Law
for Magnetism.

Chapter 35

 

 

 

Ampere's Law

***
Electromagnetic Induction: Faraday's Law.

Chapter 37

 

 
         

Note: All assignments are 1) highlighted, 2) DUE the day on which they appear and 3) hyper-linked as we progress through the year.

 

       Physics 204: LECTURE

   Physics 203: LECTURE

    Physics 204: LAB

        Skies of Yesternight

Physics 203: LAB

    Elements