1. IOT POLY ENGINEERING 4-11 TEST REVIEW (PART 2) FOR FINAL TEST ON THURSDAY 28 MAY 2009 WED 5/27 - REVIEW LESSON FOR FINAL TEST (PART 2) THU 5/28 - FINAL TEST (TRIG & VECTORS, ELECTRICITY, MECHANISMS) FRI 5/29 - EXTRA CREDIT WORK That’s tomorrow!!!!

2. IOT POLY ENGINEERING 4-11 You can prepare for the final test by reviewing the appropriate PowerPoint presentation files. They are still available at the Poly website (www.bpi.edu).www.bpi.edu The following slides give instructions on how to find the PowerPoint presentation files.

3. IOT POLY ENGINEERING 4-11 At www.bpi.edu, you will see this screen:www.bpi.edu Click on Classes & Homework.

4. IOT POLY ENGINEERING 4-11 After clicking Classes & Homework, you will see this screen: Click on the small ‘down arrow’.

5. IOT POLY ENGINEERING 4-11 After clicking the small ‘down arrow’, you will see a drop-down menu. Click on Fall 2008.

6. IOT POLY ENGINEERING 4-11 After clicking Fall 2008, you will see a listing of courses. Scroll down until you see Engineering II-IOT. Click on Engineering II-IOT.

7. IOT POLY ENGINEERING 4-11 After clicking Engineering II-IOT, you will see this: Focus your studies on the indicated presentations.

8. IOT POLY ENGINEERING 4-11 We will now go over the quiz on Mechanisms.

9. IOT POLY ENGINEERING 4-11

10. IOT POLY ENGINEERING 4-11

11. IOT POLY ENGINEERING 4-11 Next, we will review trig and vectors.

12. IOT POLY ENGINEERING 3-8 Trigonometry and Vectors Trigonometric functions are ratios of the lengths of the segments that make up angles. Trigonometric Functions tan A = opposite adjacent sin A = opposite hypotenuse cos A = adjacent hypotenuse

13. IOT POLY ENGINEERING 3-9 Trigonometry and Vectors 1.Scalar Quantities – a quantity that involves magnitude only; direction is not important Tiger Woods – 6’1” Shaquille O’Neill – 7’0” 2.Vector Quantities – a quantity that involves both magnitude and direction Vectors How hard to impact the cue ball is only part of the game – you need to know direction too Weight is a vector quantity

14. IOT POLY ENGINEERING 3-10 Trigonometry and Vectors Vectors – Rectangular Components y x F FxFx FyFy 1.It is often useful to break a vector into horizontal and vertical components (rectangular components). 2.Consider the Force vector below. 3.Plot this vector on x-y axis. 4.Project the vector onto x and y axes.

15. IOT POLY ENGINEERING 3-10 Trigonometry and Vectors Vectors – Rectangular Components y x F FxFx FyFy This means: vector F = vector F x + vector F y Remember the addition of vectors:

16. IOT POLY ENGINEERING 3-10 Trigonometry and Vectors Vectors – Rectangular Components y x F FxFx FyFy F x = F x i Vector F x = Magnitude F x times vector i Vector F y = Magnitude F y times vector j F y = F y j F = F x i + F y j i denotes vector in x direction j denotes vector in y direction Unit vector

17. IOT POLY ENGINEERING 3-10 Trigonometry and Vectors Vectors – Rectangular Components F FxFx FyFy cos Q = F x / F F x = F cos Q i sin Q = F y / F F y = F sin Q j What is the relationship between Q, sin Q, and cos Q? Q

18. IOT POLY ENGINEERING 4-11 30 45 2 1 2 3 √ √ _ _ ½ 3/2 √ _ 3/3 2/2 1 3/2 3 ½ √ √ √ √ √ _ _ _ _ _ SKETCH DIAGRAM, LIST GIVEN, ASSIGN VARIABLES WRITE EQUATION(S), FORMULA(S) SUBSTITUTE VALUES AND SOLVE CHECK ANSWER BOX ANSWER PROBLEM SOLVING PORTION OF TEST GIVEN MONDAY 30 MAR 09

19. IOT POLY ENGINEERING 4-11 E D F A B C 30 tan 30° = BF/EF Also, BC = BF + FC EF tan 30° = BF 125 ft ( 3/3) = BF √ _ BC = BF + FC BC = 125 ft ( 3/3) + 40 ft √ _ LET BC = HEIGHT OF HIGH-RISE BC = 112.17 ft WITH A CALCULATOR, THIS BECOMES:

20. IOT POLY ENGINEERING 4-11 FINAL TEST - THURSDAY 28 MAY 2009 THU 5/28 - FINAL TEST (TRIG & VECTORS, ELECTRICITY, MECHANISMS) FRI 5/29 - EXTRA CREDIT WORK That’s tomorrow!!!!