1. © 2005 Baylor University Slide 1 Fundamentals of Engineering Analysis EGR 1302 Unit 2, Lecture E Approximate Running Time - 31 minutes Distance Learning / Online Instructional Presentation Presented by Department of Mechanical Engineering Baylor University Procedures: 1.Select “Slide Show” with the menu: Slide Show|View Show (F5 key), and hit “Enter” 2.You will hear “CHIMES” at the completion of the audio portion of each slide; hit the “Enter” key, or the “Page Down” key, or “Left Click” 3.You may exit the slide show at any time with the “Esc” key; and you may select and replay any slide, by navigating with the “Page Up/Down” keys, and then hitting “Shift+F5”.

2. © 2005 Baylor University Slide 2 Introduction to Vectors

3. © 2005 Baylor University Slide 3 Introduction to Vectors

4. © 2005 Baylor University Slide 4 The Two Dimensional Coordinate System +x +y O +x +y O A C B D (x,y) pair - components - magnitude/direction Components

5. © 2005 Baylor University Slide 5 +x +z +y O y x z The Three Dimensional Coordinate System +x +y O Right Hand Rule +z +?

6. © 2005 Baylor University Slide 6 Example of a RH Rule 3-D Coordinate System +x O +y +z

7. © 2005 Baylor University Slide 7 +x +z +y Vectors Describe Physical Quantities Velocity 60 mph North Force 5 N

8. © 2005 Baylor University Slide 8 Vector Notation, Components, and Magnitude +x +z +y or x x Magnitude: Weight

9. © 2005 Baylor University Slide 9 Note because the directions are different Equality of Vectors If Then +x +z +y

10. © 2005 Baylor University Slide 10 Adding Vectors Triangular Method Parallelogram Method

11. © 2005 Baylor University Slide 11 Multiplying Vectors by a Constant Multiplying a vector by a constant only changes the Magnitude - not the orientation.

12. © 2005 Baylor University Slide 12 The Position Vector origin is the position vector of P

13. © 2005 Baylor University Slide 13 The Vector Equation of a Circle Proof:

14. © 2005 Baylor University Slide 14 Coplanar Vector Relationship Will describe any point in the plane in terms of its position vector

15. © 2005 Baylor University Slide 15 This concludes Unit 2, Lecture E