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Page 1: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students
Page 2: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

For students enrolled in an introductory physics lab, PHYS 2108 and PHYS 2109 lab classes begin this week (Jan. 14 - 18). You must attend the first week class or send an email to [email protected] PRIOR TO CLASS explaining your absence or you will be dropped from the course.

Ray Chastain

Supplemental Instruction

•  The very first SI session will be Thursday January 17th in Allen 39 at 5:00 pm

Every session after that will be: Sunday 4:30 - 6:00 Wednesday 5:00 - 6:30 We don't have a location established as of now. I will email that out as soon as I get it.

Ryan Gibson

Page 3: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Rongying Jin (professor)

Department of Physics & Astronomy Office: 229B Nicholson Hall Email: [email protected] Tel: (225) 578-0028

Visit my personal website for more information: http://www.phys.lsu.edu/rongying/

Page 4: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

You are Science & Engineering Majors.

You are registered for PHYS 2101.

You want to learn PHYS 2101

You want to have good grade !!

??

Page 5: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Spring 2013: PHYS2101 Section 9&14

Lectures: Concepts will be developed through the lectures, demonstrations and class discussion

Homework: Best way to learn the material: -- Quizzes & Exams mostly based on HW

Reading Assignments: Lecture schedule is provided - read material before lecture!

Page 6: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Class Information is also via WebAssign WebAssign will handle most of your class-related needs: homework, formulae sheets, practice tests

http://webassign.net/student.html

IMPORTANT: Try to log into WebAssign TODAY

✪  Click “I have a class key” then input your class key: lsu 8522 3194.

✪  If you have used WebAssign before, your old password will be in effect

✪  If you have NOT used WebAssign before, you can logon in by using your LSU

PAWS email address without the @lsu.edu, and setup your own password.

✪  If you have a problem in logon, please check:

(1) username (has to be PAWS username);

(2) if you have paid for accessing WebAssign;

(3) if you are in my class roster. Please contact me if you cannot logon.

The first homework assignment is posted.

HW will be due in 1 week ! Start early !!

Page 7: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Class Format - Announcements - Mixture of Power Point and Chalk Board/Overhead - Some theory …. Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!).

Course details -- see syllabus

Course: •  It is assumed that everyone has credit in PHYS 1100 so the material in Chapters 1-6 (vectors,

1- and 2-D kinematics, Newton’s laws) will only be reviewed in the first week of class. If you tested out of PHYS 1100, you will be assumed to know this material and should review it carefully if you don't remember it well. You will be tested on this material in the second week of class.

•  After the first two weeks the course assumes a more normal pace and will cover most of the section contained in chapters 7 – 20, with the exception of chapter 17, which will be skipped.

•  The core material of the course covers concepts in mechanics, fluids, wave motion, and thermodynamics. The lecture schedule will specifically indicate sections of text that are covered on a given week. Students should read and become familiar with this material before coming to class.

•  Course grades will be determined by quizzes (mostly in weekly base), Homework, four 1-hour mid-term tests, and a final (see following).

Page 8: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Homework: •  Homework assignments will be posted online at: http://webassign.net/student.html

(details announced in class). They are similar to text book HW. •  Except when noted in class, due dates for homework assignments will generally be

midnight on Monday after the assignment. •  Full solutions will be available at webassign after the due date.

Course details -- see syllabus

Quiz: •  There will be a quiz (10-15 min.) based primarily on the HW problems due that week.

Tutoring: •  If you do not understand the material or you experience difficulty in working the

problems, seek help from the graduate tutors in Room 102 of Nicholson Hall. This service is free.

•  There will be 2101 Supplemental [Sunday 4:30 – 6:00 pm, Wednesday 5:00 – 6:30 pm), which is also free. More information coming soon.

•  Make sure you take advantage of the instructor office hours posted. You should feel free to go to any instructor's office hours if you have class conflicts with your own instructor's office hours; all sections follow the same schedule and use the same homework assignments.

Page 9: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Exams: • There will be four 1-hour mid term exams. • There will be no make-up exams: if you need to miss an exam for a university-scheduled function, make sure you obtain permission from your instructor in advance. If you miss an exam with permission your other scores will be adjusted. • Exams will contain a combination of multiple-choice questions and work problems for which you must show your work. • The scheduled dates for exams are as following:

Exam 1 100 points February 5, 2013 6 – 7 pm TBA Exam 2 100 points March 12, 2013 6 – 7 pm TBA Exam 3 100 points April 9, 2013 6 – 7 pm TBA Final 200 points May 9, 2013 3 – 5 pm TBA

Students having three or more final examinations in a 24 hour period may request permission to take no more than two examinations on the day concerned. These requests must be requested by the student and approved by the instructor before Friday April 9th. • A formula sheet will also be provided and no other material is to be used during the exam. You will need a scientific calculator; graphic calculators are fine, but not necessary. • Old exams (with solutions) are posted here, but notice that the number of exams and material covered in them is different in different years.

Course details -- see syllabus

Page 10: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Grading: •  HW-50 pts. –The two lowest will be dropped. The quizzes and many of the exam questions are taken from the Home Work. •  Quiz - 50 pts. The quiz grade will be computed from the average grade. •  Middle Exams - 100 pts. each: Total 300 pts. •  The final exam will be composed of two parts, an examination of Ch. 18-20 (100 pts) and a separated cumulative part (100 pts). • Your final grade will be based on 600 total points. The demarcations in % of 600 pts are given below • A >88%, B> 77%, C>60%, D>50% • If your percentage grade is within these ranges, you are guaranteed the associated letter grade. At the end of the course the instructors may adjust these cut offs slightly but only downwards.

Course details -- see syllabus

Page 11: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Basic concepts:

1. Measurement of a physical parameter

2. Units, systems of units (example: SI)

3. Basic units in mechanics

4. Changing units

5. Significant figures

Page 12: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

SI Base Units – seven 1)  meter (m) distance 2)  kilogram (kg) mass 3)  second (s) time 4)  ampere (A) electric current 5)  kelvin (K) temperature 6)  mole (mol) amount of stuff 7)  candela (cd) intensity of light

See Appendix A: International System of Units See Appendix D: Conversion Factors

Significant figures…

Derived Unit Measures Derivation Formal Def. hertz (Hz) frequency /s s-1

newton (N) force kg·(m/s2) kg·m·s-2

pascal (Pa) pressure N/m2 kg·m-1·s-2

joule (J) energy N·m kg·m2·s-2

or work

prefix Symbol Factor Giga G 109

Mega M 106 Kilo k 103

Centi c 10–2

Milli m 10–3

Micro µ 10–6

Nano n 10–9

Page 13: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Be sure that numerical answers appear with appropriate SI units. Points will be

deducted for missing, incorrect, or “silly” units.

If the final answer is in fact a dimentionless quantity, please write the numerical result followed by the word

“dimensionless”

Page 14: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Basic Concepts: Displacement:

Average velocity:

Instantaneous velocity:

Average acceleration:

Instantaneous acceleration

(SI Unit: m/s2)

(SI Unit: m/s)

(SI Unit: m)

We are dealing with Kinematics

Page 15: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Special Case: Motion with Constant Acceleration

Page 16: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Motion with Constant Acceleration

The acceleration a is a constant.

The v(t) versus t plot is a straight line with slope = a and intercept = v0.

The x(t) versus t plot is a parabola that intercepts the vertical axis at x = x0.

Page 17: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Special Case: free-falling body motion

a

A

B

y

Close to the surface of the Earth all objects move toward the center of the Earth with an acceleration whose magnitude is constant and equal to 9.8 m/s2. We use the symbol g to indicate the acceleration of an object in free fall.

Page 18: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Kinematics: Taking Advantage of Symmetry

Page 19: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

A person standing at the edge of a cliff throws one ball straight up and another ball straight down at the same initial speed. Neglecting air resistance, the ball to hit the ground below the cliff with the greater speed is the one initially thrown

1.  upward. 2.  downward. 3.  neither—they both hit at the

same speed.

Question

Page 20: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students
Page 21: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

In physics we have parameters that can be completely described by a number and are known as scalars. Temperature and mass are such parameters.

Other physical parameters require additional information about direction and are known as vectors. Examples of vectors are displacement, velocity, and acceleration.

In this chapter we learn the basic mathematical language to describe vectors. In particular we will learn the following:

Geometric vector addition and subtraction Resolving a vector into its components The notion of a unit vector Addition and subtraction vectors by components Multiplication of a vector by a scalar The scalar (dot) product of two vectors The vector (cross) product of two vectors

Page 22: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

An example of a vector is the displacement vector, which describes the change in position of an object as it moves from point A to point B. This is represented by an arrow that points from point A to point B. The length of the arrow is proportional to the displacement magnitude. The direction of the arrow indicated the displacement direction.

The three arrows from A to B, from A' to B', and from A'' to B'', have the same magnitude and direction. A vector can be shifted without changing its value if its length and direction are not changed.

In books vectors are written in two ways:

Method 1: (using an arrow above)

Method 2: a (using boldface print)

The magnitude of the vector is indicated by italic print: a.

Page 23: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Geometric Vector Addition

(3-3)

Page 24: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Geometric Vector Subtraction

Note: We can add and subtract vectors using the method of components. For many applications this is a more convenient method.

Page 25: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

A B

C

Resolving a vector into its components

Page 26: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Unit Vectors

A unit vector is defined as a vector that has magnitude equal to 1 and points in a particular direction.

A unit vector is defined as a vector that has magnitude equal to 1 and pointsin a particular direction. Unit vectors lack units and their sole purpose is to point in a particular direction. The unit vectors along the , , and axes

are labeled , , and , respˆ eˆ ˆi j ctiv ly.k e

x y z

Unit vectors are used to express other vectorsFor example vector can be written as

. ˆ ˆThe quantities i and j are called

the

ˆ ˆi j

vector co of vector mpo .nentsx y

x y

a

a aa

a a a= +

Page 27: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

x O

y Adding Vectors by Components

Page 28: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

x

O

y

Subtracting Vectors by Components

Page 29: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students
Page 30: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students
Page 31: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students
Page 32: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Which of the following are right-handed coordinate systems?

✔ ✔ ✔

✔ ✗ ✔

Page 33: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Chapter 4: Motion in 2 and 3 Dimensions 1-D vectors → 2- and 3-D vectors

for position, velocity, and acceleration

r = rxˆ i + ry

ˆ j + rzˆ k

v = d r dt

= vxˆ i + vy

ˆ j + vzˆ k

a = d v dt

= axˆ i + ay

ˆ j + azˆ k

Decouple motion into components

Page 34: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

2-D with CONSTANT ACCELERATION�(ax=C, and ay=C’)

The x and y motions are decoupled: this means that we can consider both directions of motion independently.

x–direction motion y–direction motion

vx = vox + axt

x = 12 vx + vox( )t

x = voxt + 12 axt

2

vx2 = vox

2 + 2axx

vy = voy + ayt

y = 12 vy + voy( )t

y = voyt + 12 ayt

2

vy2 = voy

2 + 2ayy

Δr = Δxi + Δyjv = vxi + vy ja = axi + ay j

Page 35: and - Department of Physics & Astronomy · Some problems… - Power Point slides are available on class website & my own website - Please ask questions (and correct me!). ... Students

Projectile Motion

Toss something in the air:

ax = 0 and ay = -g

x–direction motion y–direction motion

vx = vox + axt

x = 12 vx + vox( )t

x = voxt + 12 axt

2

vx2 = vox

2 + 2axx

vy = voy + ayt

y = 12 vy + voy( )t

y = voyt + 12 ayt

2

vy2 = voy

2 + 2ayy

vx = vox

x = vxt

x = voxt

vx2 = vox

2

vy = voy − gt

y = 12 vy + voy( )t

y = voyt − 12 gt

2

vy2 = voy

2 − 2gy