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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!!!!

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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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After clicking Classes & Homework, you will see this screen:

Click on the small ‘down arrow’.

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After clicking the small ‘down arrow’, you will see a drop-down menu.

Click on Fall 2008.

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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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After clicking Engineering II-IOT, you will see this:

Focus your studies on the indicated presentations.

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We will now go over the quiz on Mechanisms.

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POLY ENGINEERING4-11Next, we will review trig and vectors.

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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

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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:

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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

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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

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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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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:

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FINAL TEST - THURSDAY 28 MAY 2009

THU 5/28 - FINAL TEST (TRIG & VECTORS, ELECTRICITY, MECHANISMS)FRI 5/29 - EXTRA CREDIT WORK

That’s tomorrow!!!!