Post on 04-Jan-2016
IOT
POLY ENGINEERING4-11
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!!!!
IOT
POLY ENGINEERING4-11
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).
The following slides give instructions on how to find the PowerPoint presentation files.
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POLY ENGINEERING4-11
At www.bpi.edu , you will see this screen:
Click on Classes & Homework.
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POLY ENGINEERING4-11
After clicking Classes & Homework, you will see this screen:
Click on the small ‘down arrow’.
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POLY ENGINEERING4-11
After clicking the small ‘down arrow’, you will see a drop-down menu.
Click on Fall 2008.
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POLY ENGINEERING4-11
After clicking Fall 2008, you will see a listing of courses. Scroll down until you see Engineering II-IOT.
Click on Engineering II-IOT.
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POLY ENGINEERING4-11
After clicking Engineering II-IOT, you will see this:
Focus your studies on the indicated presentations.
IOT
POLY ENGINEERING3-8
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
IOT
POLY ENGINEERING3-9
Trigonometry and Vectors
1. Scalar Quantities – a quantity that involves magnitude only; direction is not importantTiger 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
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POLY ENGINEERING3-10
Trigonometry and VectorsVectors – Rectangular Components
y
x
F
Fx
Fy
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.
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POLY ENGINEERING3-10
Trigonometry and VectorsVectors – Rectangular Components
y
x
F
Fx
Fy
This means:
vector F = vector Fx + vector Fy
Remember the addition of vectors:
IOT
POLY ENGINEERING3-10
Trigonometry and Vectors
Vectors – Rectangular Components
y
x
F
Fx
Fy
Fx = Fx i
Vector Fx = Magnitude Fx times vector i
Vector Fy = Magnitude Fy times vector j
Fy = Fy j
F = Fx i + Fy j
i denotes vector in x direction
j denotes vector in y direction
Unit vector
IOT
POLY ENGINEERING3-10
Trigonometry and Vectors
Vectors – Rectangular Components
F
Fx
Fy
cos Q = Fx / F
Fx = F cos Qi
sin Q = Fy / F
Fy = F sin Qj
What is the relationship between Q, sin Q, and cos Q?
Q
IOT
POLY ENGINEERING4-11
30
4521
2
3√
√
_
_ ½ 3/2√_
3/32/2 2/2 1
3/2 3½√ √
√
√ √__
__ _
SKETCH DIAGRAM, LIST GIVEN, ASSIGN VARIABLES WRITE EQUATION(S), FORMULA(S)SUBSTITUTE VALUES AND SOLVECHECK ANSWERBOX ANSWER
PROBLEM SOLVING PORTION OF TEST GIVEN MONDAY 30 MAR 09
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POLY ENGINEERING4-11
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: