physics 108 introduction to engineering/physics. objectives of physics 108 learn about the...

Physics 108Introduction to

Engineering/Physics

Objectives of Physics 108

Learn about the different engineering disciplines

Learn about professionalism in engineering

Become a better problem solverDevelop teaming skills

Why Active/Collaborative Learning?

ActiveCountless studies have shown improvement in:

short-term retention of material,long-term retention of material,ability to apply material to new situations

CollaborativeEngineering teams are used in industry and

usually make the best use of time

Why Physics?

Engineering

MechanicalElectrical Civil

AstronomyArchitecture

Consulting

Review

Units of Measure

See Notes

Chapter 1Introduction to

Vectors

Scalar Quantitya quantity that has magnitude but not direction

Vector Quantity a quantity that has both magnitude and direction

Vector Quantitiesforce

e.g. 20 Newtons Eastwardvelocity

e.g. 20 meters/second North

acceleratione.g. 9.8 m/s2 downward

Scalar Quantitieslength

e.g. 93,000,000 milesmass

e.g. 180 kgspeed

e.g. 186,000 miles/second

Vectoran arrow drawn to scale used to represent a vector quantity

vector notationF

Resultantthe sum of vectors

Methods of Vector Additiontip-to-tail method (polygon method)

component method

Tip-to-Tail MethodExample 1: Add these vectors using

the tip-to-tail method.

A B+

Tip to Tail Method

C

A

BA B C+ =

Component Method

A

xA

x

y

yA

Notes on Components

xA

yAA

Components are vectors

A A A yx

Lengths of Components

xA

yAA

Ax = A cos

Ay = A sin

If Components are Known

22y

2x A A A

)/A(ATan xy1

Unit Vectormagnitude of 1 and a direction

k ,j ,i

kRjR iRR zyx