# Prof. Rupak Mahapatra

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1 Prof. Rupak Mahapatra

2 Today s class Go through the webpage/syllabus policies grading scheme what s (still relatively) new with 218 general strategies Chapter 0 math review scientific notation algebra simultaneous equations quadratic equation trigonometry calculus

3 Course objectives, outline, logistics, You should be able to find an answer to almost any question related to this course on the PHYS 218 common webpage: (if not, please let me know!!) Required materials: Textbook: University Physics, 14 th ed, vol 1, with modified MasteringPhysics Homework: modified MasteringPhysics; through ecampus (at least initially) Pre-lectures: FlipItPhysics (was smartphysics) Labs: WebAssign Participation: i>clickers

4 Course evaluation Common midterm exams Comprehensive exam Laboratories Mastering homework Recitations FlipItPhysics pre-lectures and checkpoints i>clicker participation

5 The BIG change: numerical scores learning objectives We have implemented a new grading scheme for the midterm and comprehensive exams, one based on how many learning objectives you have achieved (rather than a numerical grade) The list of objectives for this course may be viewed at Your final exam grade (75% of your course grade) will be based on the fraction of those achieved to those tested over the whole semester You need to achieve (not!) in order to achieve an objective If you did not achieve an objective on the midterm(s), but it is tested in the comprehensive and you got it, then the correct answer trumps any previous ones and you will be considered as having mastered it Best way to explain, probably, is by example

6 Example problem from an old exam Learning Objective Mastered? Yes No LO 14 is understanding the equations of motion. The.1 means it is the first time it is tested on this exam LO 2.3 corresponds to the 3 rd time you were tested on the ability to compute vector quantities. This (rather basic) objective would likely appear again in later exams You may have chances to improve (or lower) your standing with some LOs that are tested multiple times. Remember, the course builds on earlier material!

7 The new(ish) lecture structure 1. You go on-line and view the pre-lectures on FlipItPhysics before we meet 2. You usually do short check-point quizzes to test your understanding of the concepts 3. Hopefully you provide feedback so I know what to concentrate on in class ( just-in-time teaching ) 4. Hopefully we have a more interactive lecture-session: clickers and problem-solving strategies 5. Follow up with resources available to you and doing problem after problem in the homework Make sure you understand things as we go through them; it s very easy to fall behind in this course, and nearly impossible to catch back up!

8 flipitphysics

9 View pre-lectures and answer checkpoint questions

10 WebAssign If you already got WebAssign access for math, you ll still need to purchase a separate access code for this course. Sign up with your TAMU NetID at Once you successfully log in, you will be directed to the section you re registered for and you can join the course

11 Gaining access the first time

12 Your homepage should look like this:

13 What to expect in this course Expect to work and put a lot of time into this course Expect to truly learn the material. Memorization won t get you a good grade; there are no short cuts. Expect a fast pace: ~1 chapter/week! Expect to get frustrated Expect to get confused Expect to get mad Expect to learn to think more critically Expect to understand most of the physical phenomena you experience in everyday life Expect to develop good study habits and a strong work ethic which will serve you well in other courses and future careers!

14 Strategies The obvious: come to class, go to recitations, do the work yourself, study and practice problems The not as obvious: It makes sense in class, but then I m lost when I get back home and try to homework Student: I come to class and have done well on the homework; so why did I bomb your test??? Me: Did you do the homework on your own? Did you copy a similar example as worked out in the solution manual or on the web? Did you use the book as you did it? Did you only use the formula sheet as you worked problems?

15 Chapter 1 Units, Physical Quantities, and Vectors PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman Lectures by James Pazun Copyright 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley

16 Standards and units Base units are set for length (meter or m), time (seconds or s), and mass (Kilogram or Kg). Unit prefixes size the unit to fit the situation. Kilo=k=10 3 Centi=c=10-2 Mili=m=10-3 Nano=n=10-9

17 Unit conversion 1 mile=5280 ft 1 ft= 12 in 1m=39.37 in You are traveling in Europe in your Audi rental car and a policeman stops you and tells you. Sir, you were going 160 km/h, what is the rush for? How fast were you going in miles per hour? Unit conversions is all about multiplying by 1, but a very particular one 160 km h 1000m 1km 39.37in 1m 1ft 12in 1mile 5280 ft 99.4mph 1

18 Q&A Since Last Class 1. Assignment due dates? 2. If I am retaking the class, do I need to sign up for MP, SP, Web Assign? 3. How can I transfer my lab grades, if I had passed the lab from last time? 4. Can you extend my deadline? I somehow missed it! 5. Anything else I missed?

19 Vectors Why we care about them Addition & Subtraction Unit Vectors Multiplication

20 Why do we care about Vectors? The world is not one-dimensional! Three dimensions: X, Y and Z. Example: 1. Up from us 2. Straight in front of us 3. To the side from us All at 90 degrees from each other. Three dimensional axis. Need a way of saying how much in each direction For this we use VECTORS

21 Vector and Scalar Vector has a magnitude AND a direction 10 miles in the south direction Scalar is just number Mass of your car Earth radius

22 Where am I? Let s say I m here You re here (origin) I call you on the cell phone. How do I tell you how to get to me? 2 equivalent ways: A single vector in arbitrary direction can be thought of as Travel 11.2 km at an angle of 26.5 two vectors in nice simple degrees directions (like X and Y). This can make things much easier Travel 10 km East then 5 km North

23 Vector Addition To specify where I am, often doing the two vector version is easier Represent Graphically: Lay down first vector Lay down second vector Put the tail at the head of the first vector The Sum is where I am

24 Re-write my location Describe my location in terms of the sum of two vectors R R R X Y R X R cosθ R sin R Θ Y R R y Careful when using the sin and cos R x

25 Specifying a Vector Two equivalent ways: Components V x and V y Magnitude V and angle q Switch back and forth Magnitude of V V = (v x2 + v y2 ) ½ Pythagorean Theorem tanq = v y /v x Either method is fine, pick one that is easiest for you, but be able to use both

26 Unit Vectors Another notation for vectors: Unit Vectors denoted i, j, k Magnitude of 1 Only purpose is to point in space x ^i z ^ k ^j y iˆ means 1in the x direction ˆj means 1in the y direction kˆ means V V î x 1in the V y ĵ V kˆ z direction z

27 Unit Vectors Similar notations, but with x, y, z xˆ yˆ is is the the same same as as î ĵ z ^ k zˆ is the same as kˆ x ^i ^j y V V xˆ x V ŷ y V ẑ z

28 Vector in Unit Vector Notation Θj V Θi V V j V i V V V V V Θ V V Θ V V Y X Y X Y X ˆ sin ˆ cos ˆ ˆ sin cos

29 General Addition Example Add two vectors using the i-hats, j- hats and k-hats DR D1 D 2 D1 10 km î 0 km ĵ 0 km kˆ D2 0 km î 5 km ĵ 0 km kˆ D 10 km î 5 km ĵ 0 km kˆ R

30 Simple Multiplication Multiplication of a vector by a scalar Let s say I travel 1 km east. What if I had gone 4 times as far in the same direction? Just stretch it out, multiply the magnitudes 1 km Negatives: 4 km Multiplying by a negative number turns the vector around 3 km 3 km

31 Subtraction Subtraction is same as addition, except the second vector is first made negative and then the two are added together V 2 + V 1 V 2 V 1 V 2 V 2 - V 1 V 1 V V V (-V )

32 How do we Multiply Vectors? First way: Scalar Product or Dot Product Why Scalar Product? Because the result is a scalar (just a number) Why a Dot Product? Because we use the notation A. B A. B = A B CosQ

33 First Question: A. B = A B CosQ What is î î? What is î ĵ? z ^ k x ^i ^j y

34 Harder Example A AX î A Y ĵ B BX î BY ĵ What is A B using Unit Vector notation?

35 Vector Cross Product C A C A B BSin Q This is the last way of multiplying vectors we will see Direction from the right-hand rule Swing from A into B!

36 Vector Cross Product Cont Multiply out, but use the Sinq to give the magnitude, and RHR to give the direction iˆ iˆ iˆ iˆ ˆj kˆ 0 kˆ (sin ˆj (sin q q (sin q 0) 1) 1) jki C C x + A ^i A z ^ k B BSin Q ikj ^j y _

37 Cross Product Example A AX î A Y ĵ B BX î BY ĵ What is A B using Unit Vector notation?

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