1. PHYS Dr. Richard A Lindgren University of Virginia USA

2. Preliminaries Photograph Class Send me list of Emails Textbook Grades
Syllabus
Deadlines
Assignment 1

3. Lecture PowerPoints
Chapter 1
Physics for
Physics for Scientist and Engineers Fourth Edition
GiancoliEngineers, with Modern Physics, 4th dition

4. Final Grade Determination
Attendance/Clickers %
Homework %
Quizzes %
Final %

5. Week 1 Day Date chapter subject 9.00 9.30 10.00 10.30 Mon Jun 5 1&2
Units &1D motion
SI system
References frames
Displacement
Average Velocity
Tue 6 3
2D motion
Vectors & Scalars
Projectile Motion
Solving Problems
Relative Velocity
Wed 7 4
Newton's Laws
Force
First Law
Second Law
Third Law
Thu 8
Weight, Gravity, Normal Force
Free-Body Diagrams
Problem Solving
Problem solving
Fri 9
Using Newton's Laws
Friction
Uniform Circular Motion
Dynamics of C.M.
Drag/Terminal Velocity

6. Week 2 Day Date Chap. Main Subject 9.00 9.30 10.00 10.30 Mon Jun 12 6
Assignment 1 Due
Gravitation
Universal Gravitation
Gravity Near the earth's surface
Satellites &
Weightlessness
Kepler's Laws
Tue 13 7
Quiz Ch. 1-5
Work
Quiz
Ch. 1-5
Work Done by a Constant Force
Scalar Product
Wed
Jun 14
7/8
Work & Conservation of Energy
Varying Force
Work-Energy Principle
Conservative Forces
Potential Energy
Thu 15 8
Conservation of Energy
Mechanical Energy
Problem Solving
Dissipative Forces
Fri 16
8/9
Gravitational Potential Energy
Potential Energy Diagrams
Momentum
Conservation of Momentum

7. Week 3 Day Date Chap. Main Subject 9.00 9.30 10.00 10.30 Mon Jun 19 9
Assignment 2 Due
Quiz Ch. 6-9
Collisions & Impulse
Conservation Energy & Momentum
Elastic Collisions
Inelastic Collisions
Tue 20
Momentum
Quiz 2
Ch. 6-9
Collisions in Two Dimensions
Center of Mass
Wed 21 10
Rotational Motion
Angular Quantities & Vector nature
Constant acceleration
Torque & Rotational Inertia
Solving Problems
Thu 22
Rotational Dynamics
Determining Inertia
Rotational Kinetic Energy
Translaton Plus Rotation
Rolling Motion & Slowing down
Fri 23 11
Angular Momentum
Angular Momentum Examples
Vector Product & Torque
Angular Momentum of a Particle
Rotational Analog of 2nd Law

8. Week 4 Day Date Chap. Subject 9.00 9.30 10.00 10.30 Mon Jun 26 11
Assignment 3 Due Rotations
Conserv. of L
Kepler's 2nd Law
Spinning Top
Gyroscope
Rotating Frames/Inertial Forces
Pseudo, & Coriolis Forces
Tue 27 12
Static Equilibrium
Conditions for Equilibrium
Cantilever,
Seesaw,
Ladder
Stability
Balance Stable Equilibrium
Hook's Law
Stress and Strain, Young's Mdulus
Wed
Jun 28
Elasticity and Fracture
Fracture/Compression/Tension
Trusses/Bridges/Domes
About Final Exam
Thu 29
Make up
Assignment 4 due 
Fri
Jun 30
Final Exam

9. Deadlines Assignment 1 12-Jun Quiz 1 13-Jun Assignment 2 19-Jun
Final Exam 30-Jun

10. Assignment 1 Due Monday June 12 9:00 AM Check textbook
Chapter 1: 17, 24, 47
Chapter 2: 7, 41, 51, 67, 89
Chapter 3: 7, 22, 33, 46, 67, 77, 81
Chapter 4: 7, 18, 24, 32, 33, 48, 73, 78
Chapter 5: 17, 18, 23, 36, 43, 44, 48, 86, 89,100, 84
Red are graded
Black are not graded

11. Read Chapter 1 Tooling up Units, and unit conversions
Accuracy and significant figures
Dimensional analysis
Principles – predict the future
Scalars and vectors
Math Review
One Dimensional Motion

12. The system of units we will use is the System International (SI) ;
the units of the fundamental quantities are:
Length – meter
Mass – kilogram
Time – second

13. Fundamental Physical Quantities and Their Units
Unit prefixes for powers of 10, used in the SI system:

14. Accuracy and Significant Figures
The number of significant figures represents the accuracy with which a number is known.
Terminal zeroes after a decimal point are significant figures:
2.00 has 3 significant figures
2 has 1 significant figure.

15. Accuracy and Significant Figures
If numbers are written in scientific notation, it is clear how many significant figures there are:
6. × 1024 has one
6.1 × 1024 has two
6.14 × 1024 has three
…and so on.
Calculators typically show many more digits than are significant. It is important to know which are accurate and which are meaningless.

16. Scientific Notation Example
Scientific notation: use powers of 10 for numbers that are not between 1 and 10 (or, often, between 0.1 and 100):
When multiplying numbers together, you add the exponents algebraically.
When dividing numbers, you subtract the exponents algebraically.
Example

17. 1-4 Dimensional Analysis
The dimension of a quantity is the particular combination that characterizes it (the brackets indicate that we are talking about dimensions):
[v] = [L]/[T]
Note that we are not specifying units here – velocity could be measured in meters per second, miles per hour, inches per year, or whatever.
[a] = [L]/[T]2
Force=ma [F]=[M][L]/[T2]

18. Principles or Laws Mathematics Predict the future
Conservation of Energy
Conservation of Momentum
Newton's Laws
Principle of Relativity
Laws of physics work the same for an observer in uniform motion as for an observer at rest.
Mathematics
Predict the future

19. Math Algebra - Trigonometry and geometry Vectors Derivatives Integrals
Solving simultaneous equations
Cramers Rule
Quadratic equation
Trigonometry and geometry
sin, cos, and tan, Pythagorean Theorem,
straight line, circle, parabola, ellipse
Vectors
Unit vectors
Adding, subtracting, finding components
Dot product
Cross product
Derivatives
Integrals

20. Arc Length and Radians S
is measured in radians

21. Pythagorean Theorem
EXAMPLE

22. Trigonometry
EXAMPLE

23. Simultaneous Equations
FIND X AND Y

24. Cramer’s Rule

25. Quadratic Formula
EQUATION:
SOLVE FOR X:
SEE EXAMPLE NEXT PAGE

26. Example

27. Derivation
Complete the Square

28. Small Angle Approximation
Small-angle approximation is a useful simplification of the laws of trigonometry
which is only approximately true for very small angles.
FOR
EXAMPLE

29. Vectors and Unit Vectors
Representation of a vector : has magnitude and direction
i and j unit vectors
x and y components
angle gives direction and length of vector gives the magnitude
Example of vectors
Addition and subtraction
Scalar or dot product

30. Vectors Red arrows are the i and j unit vectors. Magnitude =
Angle between A and x axis =

31. Adding Two Vectors Create a Parallelogram with The two vectors
You wish you add.

32. Adding Two Vectors
Note you add x and
y components .

33. Vector components in terms of sine and cosiney x q r

34. Scalar product =
90 deg θ AB
Also

35. AB is the perpendicular projection of A on B. Important later.θ AB
Also

36. Vectors in 3 Dimensions

37. For a Right Handed 3D-Coordinate Systemsj k x z
Right handed rule.
Also called cross product
Magnitude of

38. Suppose we have two vectors in 3D and we want to add themy i j k r1 r2 2 5 1 x 7 z

39. Adding vectors
Now add all 3 components i j k x y z r r2 r1

40. Scalar product =
The dot product is important in the of discussion of work.
Work = Scalar product

41. Cross Product =
See your textbook for more information on vectors and cross and dot products

42. ConcepTest 3.1b Vectors II
1) they are perpendicular to each other
2) they are parallel and in the same direction
3) they are parallel but in the opposite direction
4) they are at 45° to each other
5) they can be at any angle to each other
Given that A + B = C, and that lAl 2 + lBl 2 = lCl 2, how are vectors A and B oriented with respect to each other?

43. ConcepTest 3.1b Vectors II
1) they are perpendicular to each other
2) they are parallel and in the same direction
3) they are parallel but in the opposite direction
4) they are at 45° to each other
5) they can be at any angle to each other
Given that A + B = C, and that lAl 2 + lBl 2 = lCl 2, how are vectors A and B oriented with respect to each other?
Note that the magnitudes of the vectors satisfy the Pythagorean Theorem. This suggests that they form a right triangle, with vector C as the hypotenuse. Thus, A and B are the legs of the right triangle and are therefore perpendicular.

44. ConcepTest 3.1c Vectors III
1) they are perpendicular to each other
2) they are parallel and in the same direction
3) they are parallel but in the opposite direction
4) they are at 45° to each other
5) they can be at any angle to each other
Given that A + B = C, and that lAl + lBl = lCl , how are vectors A and B oriented with respect to each other?

45. ConcepTest 3.1c Vectors III
1) they are perpendicular to each other
2) they are parallel and in the same direction
3) they are parallel but in the opposite direction
4) they are at 45° to each other
5) they can be at any angle to each other
Given that A + B = C, and that lAl + lBl = lCl , how are vectors A and B oriented with respect to each other?
The only time vector magnitudes will simply add together is when the direction does not have to be taken into account (i.e., the direction is the same for both vectors). In that case, there is no angle between them to worry about, so vectors A and B must be pointing in the same direction.